Skip to main content
SpringerLink
Log in

Hadrons and nuclei

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal A Aims and scope Submit manuscript

Abstract.

In 2018, the USQCD Collaboration’s Executive Committee organized several subcommittees to recognize future opportunities and formulate possible goals for lattice field theory calculations in several physics areas. The conclusions of these studies, along with community input, are presented in seven white papers. Here, we discuss opportunities for lattice QCD calculations related to the structure and spectroscopy of hadrons and nuclei. An overview of recent lattice calculations of the structure of the proton and other hadrons is presented along with prospects for future extensions. Progress and prospects of hadronic spectroscopy and the study of resonances in the light, strange and heavy quark sectors are summarized. Finally recent advances in the study of light nuclei from lattice QCD are addressed and the scope of future investigations that are currently envisioned is outlined.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. USQCD Collaboration (A. Bazavov, F. Karsch, S. Mukherjee, P. Petreczky), https://doi.org/10.1140/epja/i2019-12922-0, http://arXiv:1904.09951 (2019)

  2. USQCD Collaboration (R.C. Brower, A. Hasenfratz, E.T. Neil, S. Catterall, G. Fleming, J. Giedt, E. Rinaldi, D. Schaich, E. Weinberg, O. Witzel), https://doi.org/10.1140/epja/i2019-12901-5, http://arXiv:1904.09964 (2019)

  3. USQCD Collaboration (V. Cirigliano, Z. Davoudi, T. Bhattacharya, T. Izubuchi, P.E. Shanahan, S. Syritsyn, M.L. Wagman), https://doi.org/10.1140/epja/i2019-12889-8, http://arXiv:1904.09704 (2019)

  4. USQCD Collaboration (W. Detmold, R.G. Edwards, J.J. Dudek, M. Engelhardt, H.W. Lin, S. Meinel, K. Orginos, P. Shanahan) this paper, arXiv:1904.09512 (2019)

  5. USQCD Collaboration (B. Joó, C. Jung, N.H. Christ, W. Detmold, R. Edwards, M. Savage, P. Shanahan), https://doi.org/10.1140/epja/i2019-12919-7, http://arXiv:1904.09725 (2019)

  6. USQCD Collaboration (A.S. Kronfeld, D.G. Richards, W. Detmold, R. Gupta, H.W. Lin, K.F. Liu, A.S. Meyer, R. Sufian, S. Syritsin), https://doi.org/10.1140/epja/i2019-12916-x, http://arXiv:1904.09931 (2019)

  7. USQCD Collaboration (C. Lehner), https://doi.org/10.1140/epja/i2019-12891-2, http://arXiv:1904.09479 (2019)

  8. Particle Data Group (C. Patrignani et al.), Chin. Phys. C 40, 100001 (2016)

    ADS  Google Scholar 

  9. T. Bhattacharya, V. Cirigliano, S. Cohen, R. Gupta, H.W. Lin, B. Yoon, Phys. Rev. D 94, 054508 (2016) arXiv:1606.07049

    ADS  Google Scholar 

  10. B. Yoon et al., Phys. Rev. D 95, 074508 (2017) arXiv:1611.07452

    ADS  Google Scholar 

  11. C.C. Chang et al., Nature 558, 91 (2018) arXiv:1805.12130

    ADS  Google Scholar 

  12. R. Gupta, Y.C. Jang, B. Yoon, H.W. Lin, V. Cirigliano, T. Bhattacharya, Phys. Rev. D 98, 034503 (2018) arXiv:1806.09006

    ADS  Google Scholar 

  13. R. Gupta, B. Yoon, T. Bhattacharya, V. Cirigliano, Y.C. Jang, H.W. Lin, Phys. Rev. D 98, 091501 (2018) arXiv:1808.07597

    ADS  Google Scholar 

  14. P.E. Shanahan, J. Phys. G 43, 124001 (2016) arXiv:1606.08812

    ADS  Google Scholar 

  15. S. Capitani, M. Della Morte, D. Djukanovic, G. von Hippel, J. Hua, B. Jäger, B. Knippschild, H.B. Meyer, T.D. Rae, H. Wittig, Phys. Rev. D 92, 054511 (2015) arXiv:1504.04628

    ADS  Google Scholar 

  16. N. Hasan, J. Green, S. Meinel, M. Engelhardt, S. Krieg, J. Negele, A. Pochinsky, S. Syritsyn, Phys. Rev. D 97, 034504 (2018) arXiv:1711.11385

    ADS  Google Scholar 

  17. C. Alexandrou, M. Constantinou, K. Hadjiyiannakou, K. Jansen, C. Kallidonis, G. Koutsou, A. Vaquero Aviles-Casco, Phys. Rev. D 96, 034503 (2017) arXiv:1706.00469

    ADS  Google Scholar 

  18. PACS Collaboration (K.I. Ishikawa, Y. Kuramashi, S. Sasaki, N. Tsukamoto, A. Ukawa, T. Yamazaki), Phys. Rev. D 98, 074510 (2018) arXiv:1807.03974

    Google Scholar 

  19. W. Detmold, A. Grebe, P. Shanahan, PoS LATTICE2018, 303 (2018) arXiv:1812.00313

    Google Scholar 

  20. C. Alexandrou, S. Bacchio, M. Constantinou, J. Finkenrath, K. Hadjiyiannakou, K. Jansen, G. Koutsou, A. Vaquero Aviles-Casco, Phys. Rev. D 100, 014509 (2019) arXiv:1812.10311

    ADS  MathSciNet  Google Scholar 

  21. H.W. Lin et al., Prog. Part. Nucl. Phys. 100, 107 (2018) arXiv:1711.07916

    ADS  Google Scholar 

  22. W. Detmold, B.C. Tiburzi, A. Walker-Loud, Phys. Rev. D 73, 114505 (2006) arXiv:hep-lat/0603026

    ADS  Google Scholar 

  23. W. Detmold, B.C. Tiburzi, A. Walker-Loud, Phys. Rev. D 79, 094505 (2009) arXiv:0904.1586

    ADS  Google Scholar 

  24. W. Detmold, B.C. Tiburzi, A. Walker-Loud, Phys. Rev. D 81, 054502 (2010) arXiv:1001.1131

    ADS  Google Scholar 

  25. W. Freeman, A. Alexandru, M. Lujan, F.X. Lee, Phys. Rev. D 90, 054507 (2014) arXiv:1407.2687

    ADS  Google Scholar 

  26. M. Lujan, A. Alexandru, W. Freeman, F. Lee, Phys. Rev. D 89, 074506 (2014) arXiv:1402.3025

    ADS  Google Scholar 

  27. NPLQCD Collaboration (E. Chang, W. Detmold, K. Orginos, A. Parreno, M.J. Savage, B.C. Tiburzi, S.R. Beane), Phys. Rev. D 92, 114502 (2015) arXiv:1506.05518

    ADS  Google Scholar 

  28. M. Lujan, A. Alexandru, W. Freeman, F.X. Lee, Phys. Rev. D 94, 074506 (2016) arXiv:1606.07928

    ADS  Google Scholar 

  29. P.E. Shanahan, B.C. Tiburzi, M.L. Wagman, F. Winter, E. Chang, Z. Davoudi, W. Detmold, K. Orginos, M.J. Savage, Phys. Rev. Lett. 119, 062003 (2017) arXiv:1701.03456

    ADS  Google Scholar 

  30. B.C. Tiburzi, M.L. Wagman, F. Winter, E. Chang, Z. Davoudi, W. Detmold, K. Orginos, M.J. Savage, P.E. Shanahan, Phys. Rev. D 96, 054505 (2017) arXiv:1702.02929

    ADS  Google Scholar 

  31. A. Agadjanov, U.G. Meißner, A. Rusetsky, Phys. Rev. D 95, 031502 (2017) arXiv:1610.05545

    ADS  Google Scholar 

  32. A. Agadjanov, U.G. Meißner, A. Rusetsky, Phys. Rev. D 99, 054501 (2019) arXiv:1812.06013

    ADS  Google Scholar 

  33. A.J. Chambers et al., PoS LATTICE2015, 125 (2016) arXiv:1511.07090

    Google Scholar 

  34. LHPC Collaboration (M. Engelhardt), Phys. Rev. D 76, 114502 (2007) arXiv:0706.3919

    Google Scholar 

  35. J.C. Collins, D.E. Soper, Nucl. Phys. B 194, 445 (1982)

    ADS  Google Scholar 

  36. G. Curci, W. Furmanski, R. Petronzio, Nucl. Phys. B 175, 27 (1980)

    ADS  Google Scholar 

  37. L. Baulieu, E.G. Floratos, C. Kounnas, Nucl. Phys. B 166, 321 (1980)

    ADS  Google Scholar 

  38. J.C. Collins, D.E. Soper, G.F. Sterman, Adv. Ser. Direct. High Energy Phys. 5, 1 (1989) arXiv:hep-ph/0409313

    ADS  Google Scholar 

  39. C. Dawson, G. Martinelli, G.C. Rossi, C.T. Sachrajda, S.R. Sharpe, M. Talevi, M. Testa, Nucl. Phys. B 514, 313 (1998) arXiv:hep-lat/9707009

    ADS  Google Scholar 

  40. Z. Davoudi, M.J. Savage, Phys. Rev. D 86, 054505 (2012) arXiv:1204.4146

    ADS  Google Scholar 

  41. Z. Davoudi, PoS LATTICE2018, 014 (2018) arXiv:1812.11899

    Google Scholar 

  42. X. Ji, Phys. Rev. Lett. 110, 262002 (2013) arXiv:1305.1539

    ADS  Google Scholar 

  43. X. Ji, Sci. China Phys. Mech. Astron. 57, 1407 (2014) arXiv:1404.6680

    ADS  Google Scholar 

  44. G. Martinelli, C. Pittori, C.T. Sachrajda, M. Testa, A. Vladikas, Nucl. Phys. B 445, 81 (1995) arXiv:hep-lat/9411010

    ADS  Google Scholar 

  45. C. Alexandrou, K. Cichy, M. Constantinou, K. Hadjiyiannakou, K. Jansen, H. Panagopoulos, F. Steffens, Nucl. Phys. B 923, 394 (2017) arXiv:1706.00265

    ADS  Google Scholar 

  46. J.W. Chen, T. Ishikawa, L. Jin, H.W. Lin, Y.B. Yang, J.H. Zhang, Y. Zhao, Phys. Rev. D 97, 014505 (2018) arXiv:1706.01295

    ADS  Google Scholar 

  47. J. Green, K. Jansen, F. Steffens, Phys. Rev. Lett. 121, 022004 (2018) arXiv:1707.07152

    ADS  Google Scholar 

  48. J.W. Chen, L. Jin, H.W. Lin, Y.S. Liu, Y.B. Yang, J.H. Zhang, Y. Zhao, arXiv:1803.04393 (2018)

  49. H.W. Lin, J.W. Chen, X. Ji, L. Jin, R. Li, Y.S. Liu, Y.B. Yang, J.H. Zhang, Y. Zhao, Phys. Rev. Lett. 121, 242003 (2018) arXiv:1807.07431

    ADS  Google Scholar 

  50. B.L. Ioffe, Phys. Lett. B 30, 123 (1969)

    ADS  Google Scholar 

  51. V. Braun, P. Gornicki, L. Mankiewicz, Phys. Rev. D 51, 6036 (1995) arXiv:hep-ph/9410318

    ADS  Google Scholar 

  52. A. Radyushkin, Phys. Lett. B 767, 314 (2017) arXiv:1612.05170

    ADS  MathSciNet  Google Scholar 

  53. A.V. Radyushkin, Phys. Rev. D 96, 034025 (2017) arXiv:1705.01488

    ADS  MathSciNet  Google Scholar 

  54. R.A. Briceño, J.V. Guerrero, M.T. Hansen, C.J. Monahan, Phys. Rev. D 98, 014511 (2018) arXiv:1805.01034

    ADS  MathSciNet  Google Scholar 

  55. K. Orginos, A. Radyushkin, J. Karpie, S. Zafeiropoulos, Phys. Rev. D 96, 094503 (2017) arXiv:1706.05373

    ADS  MathSciNet  Google Scholar 

  56. J. Karpie, K. Orginos, S. Zafeiropoulos, JHEP 11, 178 (2018) arXiv:1807.10933

    ADS  Google Scholar 

  57. NNPDF Collaboration (R.D. Ball et al.), Eur. Phys. J. C 77, 663 (2017) arXiv:1706.00428

    Google Scholar 

  58. A. Accardi, L.T. Brady, W. Melnitchouk, J.F. Owens, N. Sato, Phys. Rev. D 93, 114017 (2016) arXiv:1602.03154

    ADS  Google Scholar 

  59. J. Karpie, K. Orginos, A. Rothkopf, S. Zafeiropoulos, JHEP 04, 057 (2019) arXiv:1901.05408

    ADS  Google Scholar 

  60. G. Backus, F. Gilbert, Geophys. J. Int. 16, 169 (1968)

    ADS  Google Scholar 

  61. Y. Burnier, A. Rothkopf, Phys. Rev. Lett. 111, 182003 (2013) arXiv:1307.6106

    ADS  Google Scholar 

  62. S. Forte, L. Garrido, J.I. Latorre, A. Piccione, JHEP 05, 062 (2002) arXiv:hep-ph/0204232

    ADS  Google Scholar 

  63. Y.Q. Ma, J.W. Qiu, Phys. Rev. D 98, 074021 (2018) arXiv:1404.6860

    ADS  MathSciNet  Google Scholar 

  64. Y.Q. Ma, J.W. Qiu, Int. J. Mod. Phys. Conf. Ser. 37, 1560041 (2015) arXiv:1412.2688

    Google Scholar 

  65. Y.Q. Ma, J.W. Qiu, Phys. Rev. Lett. 120, 022003 (2018) arXiv:1709.03018

    ADS  Google Scholar 

  66. R.S. Sufian, J. Karpie, C. Egerer, K. Orginos, J.W. Qiu, D.G. Richards, Phys. Rev. D 99, 074507 (2019) arXiv:1901.03921

    ADS  Google Scholar 

  67. K.F. Liu, S.J. Dong, Phys. Rev. Lett. 72, 1790 (1994) arXiv:hep-ph/9306299

    ADS  Google Scholar 

  68. U. Aglietti, M. Ciuchini, G. Corbo, E. Franco, G. Martinelli, L. Silvestrini, Phys. Lett. B 432, 411 (1998) arXiv:hep-ph/9804416

    ADS  Google Scholar 

  69. W. Detmold, C.J.D. Lin, Phys. Rev. D 73, 014501 (2006) arXiv:hep-lat/0507007

    ADS  Google Scholar 

  70. K.F. Liu, PoS LATTICE2015, 115 (2016) arXiv:1603.07352

    Google Scholar 

  71. J. Liang, K.F. Liu, Y.B. Yang, EPJ Web of Conferences 175, 14014 (2018) arXiv:1710.11145

    Google Scholar 

  72. W. Detmold, I. Kanamori, C.J.D. Lin, S. Mondal, Y. Zhao, PoS LATTICE2018, 106 (2018) arXiv:1810.12194

    Google Scholar 

  73. A.J. Chambers, R. Horsley, Y. Nakamura, H. Perlt, P.E.L. Rakow, G. Schierholz, A. Schiller, K. Somfleth, R.D. Young, J.M. Zanotti, Phys. Rev. Lett. 118, 242001 (2017) arXiv:1703.01153

    ADS  Google Scholar 

  74. X.d. Ji, C.w. Jung, Phys. Rev. Lett. 86, 208 (2001) arXiv:hep-lat/0101014

    ADS  Google Scholar 

  75. A.V. Radyushkin, Phys. Rev. D 56, 5524 (1997) arXiv:hep-ph/9704207

    ADS  Google Scholar 

  76. M. Diehl, Phys. Rep. 388, 41 (2003) arXiv:hep-ph/0307382

    ADS  Google Scholar 

  77. A.V. Belitsky, A.V. Radyushkin, Phys. Rep. 418, 1 (2005) arXiv:hep-ph/0504030

    ADS  Google Scholar 

  78. M. Burkardt, Phys. Rev. D 62, 071503 (2000) Phys. Rev. D 66

    ADS  Google Scholar 

  79. LHPC, SESAM Collaborations (P. Hagler, J.W. Negele, D.B. Renner, W. Schroers, T. Lippert, K. Schilling), Phys. Rev. D 68, 034505 (2003) arXiv:hep-lat/0304018

    Google Scholar 

  80. LHPC Collaboration (P. Hagler et al.), Phys. Rev. D 77, 094502 (2008) arXiv:0705.4295

    Google Scholar 

  81. P. Hagler, B.U. Musch, J.W. Negele, A. Schafer, EPL 88, 61001 (2009) arXiv:0908.1283

    ADS  Google Scholar 

  82. X.D. Ji, Phys. Rev. Lett. 78, 610 (1997) arXiv:hep-ph/9603249

    ADS  Google Scholar 

  83. R.L. Jaffe, A. Manohar, Nucl. Phys. B 337, 509 (1990)

    ADS  Google Scholar 

  84. Y.B. Yang, R.S. Sufian, A. Alexandru, T. Draper, M.J. Glatzmaier, K.F. Liu, Y. Zhao, Phys. Rev. Lett. 118, 102001 (2017) arXiv:1609.05937

    ADS  Google Scholar 

  85. C. Alexandrou, M. Constantinou, K. Hadjiyiannakou, K. Jansen, C. Kallidonis, G. Koutsou, A. Vaquero Aviles-Casco, C. Wiese, Phys. Rev. Lett. 119, 142002 (2017) arXiv:1706.02973

    ADS  Google Scholar 

  86. M.V. Polyakov, P. Schweitzer, Int. J. Mod. Phys. A 33, 1830025 (2018) arXiv:1805.06596

    ADS  Google Scholar 

  87. S.N. Syritsyn, J.R. Green, J.W. Negele, A.V. Pochinsky, M. Engelhardt, P. Hagler, B. Musch, W. Schroers, PoS LATTICE2011, 178 (2011) arXiv:1111.0718

    Google Scholar 

  88. G.S. Bali et al., PoS Lattice2013, 291 (2014) arXiv:1312.0828

    Google Scholar 

  89. LHPC Collaboration (J.D. Bratt et al.), Phys. Rev. D 82, 094502 (2010) arXiv:1001.3620

    Google Scholar 

  90. A. Sternbeck et al., PoS LATTICE2011, 177 (2011) arXiv:1203.6579

    Google Scholar 

  91. QCDSF-UKQCD Collaboration (D. Brommel et al.), PoS LATTICE2007, 158 (2007) arXiv:0710.1534

    Google Scholar 

  92. QCDSF Collaboration (M. Gockeler, R. Horsley, D. Pleiter, P.E.L. Rakow, A. Schafer, G. Schierholz, W. Schroers), Phys. Rev. Lett. 92, 042002 (2004) arXiv:hep-ph/0304249

    Google Scholar 

  93. C. Alexandrou, J. Carbonell, M. Constantinou, P.A. Harraud, P. Guichon, K. Jansen, C. Kallidonis, T. Korzec, M. Papinutto, Phys. Rev. D 83, 114513 (2011) arXiv:1104.1600

    ADS  Google Scholar 

  94. M. Deka et al., Phys. Rev. D 91, 014505 (2015) arXiv:1312.4816

    ADS  Google Scholar 

  95. C. Alexandrou, M. Constantinou, K. Hadjiyiannakou, K. Jansen, H. Panagopoulos, C. Wiese, Phys. Rev. D 96, 054503 (2017) arXiv:1611.06901

    ADS  Google Scholar 

  96. D. Boer, arXiv:1108.1713 (2011)

  97. COMPASS Collaboration (M. Alekseev et al.), Phys. Lett. B 673, 127 (2009) arXiv:0802.2160

    ADS  Google Scholar 

  98. COMPASS Collaboration (C. Adolph et al.), Phys. Lett. B 736, 124 (2014) arXiv:1401.7873

    ADS  Google Scholar 

  99. HERMES Collaboration (A. Airapetian et al.), Phys. Rev. Lett. 103, 152002 (2009) arXiv:0906.3918

    Google Scholar 

  100. HERMES Collaboration (A. Airapetian et al.), Phys. Lett. B 728, 183 (2014) arXiv:1310.5070

    Google Scholar 

  101. Jefferson Lab Hall A Collaboration (X. Qian et al.), Phys. Rev. Lett. 107, 072003 (2011) arXiv:1106.0363

    Google Scholar 

  102. CLAS Collaboration (H. Avakian et al.), Phys. Rev. Lett. 105, 262002 (2010) arXiv:1003.4549

    Google Scholar 

  103. COMPASS Collaboration (F. Gautheron), CERN experimental proposal, CERN-SPSC-2010-014. SPSC-P-340 (2010)

  104. C. Brown, FERMILAB proposal, FERMILAB-PROPOSAL-1039 (2014)

  105. PHENIX Collaboration (A. Adare et al.), Phys. Rev. D 90, 012006 (2014) arXiv:1312.1995

    ADS  Google Scholar 

  106. STAR Collaboration (L. Adamczyk et al.), Phys. Rev. D 86, 051101 (2012) arXiv:1205.6826

    Google Scholar 

  107. M.G. Echevarria, A. Idilbi, Z.B. Kang, I. Vitev, Int. J. Mod. Phys. Conf. Ser. 37, 1560025 (2015) arXiv:1411.3682

    Google Scholar 

  108. A. Accardi et al., Eur. Phys. J. A 52, 268 (2016) arXiv:1212.1701

    ADS  Google Scholar 

  109. B.U. Musch, P. Hagler, M. Engelhardt, J.W. Negele, A. Schafer, Phys. Rev. D 85, 094510 (2012) arXiv:1111.4249

    ADS  Google Scholar 

  110. M. Engelhardt, P. Hägler, B. Musch, J. Negele, A. Schäfer, Phys. Rev. D 93, 054501 (2016) arXiv:1506.07826

    ADS  Google Scholar 

  111. B.U. Musch, P. Hagler, J.W. Negele, A. Schafer, Phys. Rev. D 83, 094507 (2011) arXiv:1011.1213

    ADS  Google Scholar 

  112. B. Yoon, M. Engelhardt, R. Gupta, T. Bhattacharya, J.R. Green, B.U. Musch, J.W. Negele, A.V. Pochinsky, A. Schäfer, S.N. Syritsyn, Phys. Rev. D 96, 094508 (2017) arXiv:1706.03406

    ADS  Google Scholar 

  113. M. Engelhardt, Phys. Rev. D 95, 094505 (2017) arXiv:1701.01536

    ADS  Google Scholar 

  114. M. Constantinou, H. Panagopoulos, Phys. Rev. D 96, 054506 (2017) arXiv:1705.11193

    ADS  Google Scholar 

  115. M. Engelhardt, B. Musch, T. Bhattacharya, R. Gupta, P. Hägler, S. Krieg, J. Negele, A. Pochinsky, S. Syritsyn, B. Yoon, PoS LATTICE2015, 117 (2016)

    Google Scholar 

  116. A. Stathopoulos, J. Laeuchli, K. Orginos, arXiv:1302.4018 (2013)

  117. S. Meissner, A. Metz, M. Schlegel, JHEP 08, 056 (2009) arXiv:0906.5323

    ADS  Google Scholar 

  118. PHENIX Collaboration (A. Adare et al.), Phys. Rev. D 90, 012007 (2014) arXiv:1402.6296

    ADS  Google Scholar 

  119. STAR Collaboration (P. Djawotho), Nuovo Cimento C 036, 35 (2013) arXiv:1303.0543

    Google Scholar 

  120. N. Kalantarians, J. Phys. Conf. Ser. 543, 012008 (2014)

    Google Scholar 

  121. A. Aprahamian, Reaching for the horizon: The 2015 long range plan for nuclear science (2015) https://science.osti.gov/-/media/np/nsac/pdf/2015LRP/2015_LRPNS_091815.pdf

  122. J. Maxwell, arXiv:1803.11206 (2018)

  123. CLAS Collaboration (M. Hattawy et al.), Phys. Rev. Lett. 119, 202004 (2017) arXiv:1707.03361

    Google Scholar 

  124. GlueX Collaboration (S. Dobbs), PoS Hadron2017, 047 (2018) arXiv:1712.07214

    Google Scholar 

  125. A.J. Baltz, Phys. Rep. 458, 1 (2008) arXiv:0706.3356

    ADS  Google Scholar 

  126. W. Detmold, P.E. Shanahan, Phys. Rev. D 94, 014507 (2016) Phys. Rev. D 95

    ADS  Google Scholar 

  127. W. Detmold, D. Pefkou, P.E. Shanahan, Phys. Rev. D 95, 114515 (2017) arXiv:1703.08220

    ADS  Google Scholar 

  128. F. Winter, W. Detmold, A.S. Gambhir, K. Orginos, M.J. Savage, P.E. Shanahan, M.L. Wagman, Phys. Rev. D 96, 094512 (2017) arXiv:1709.00395

    ADS  Google Scholar 

  129. H.B. Meyer, J.W. Negele, Phys. Rev. D 77, 037501 (2008) arXiv:0707.3225

    ADS  Google Scholar 

  130. QCDSF, UKQCD Collaborations (R. Horsley, R. Millo, Y. Nakamura, H. Perlt, D. Pleiter, P.E.L. Rakow, G. Schierholz, A. Schiller, F. Winter, J.M. Zanotti), Phys. Lett. B 714, 312 (2012) arXiv:1205.6410

    ADS  Google Scholar 

  131. C. Alexandrou, V. Drach, K. Hadjiyiannakou, K. Jansen, B. Kostrzewa, C. Wiese, PoS LATTICE2013, 289 (2014) arXiv:1311.3174

    Google Scholar 

  132. D. de Florian, R. Sassot, M. Stratmann, W. Vogelsang, Phys. Rev. Lett. 113, 012001 (2014) arXiv:1404.4293

    ADS  Google Scholar 

  133. M.J. Glatzmaier, K.F. Liu, Y.B. Yang, Phys. Rev. D 95, 074513 (2017) arXiv:1403.7211

    ADS  Google Scholar 

  134. Y.B. Yang, M. Gong, J. Liang, H.W. Lin, K.F. Liu, D. Pefkou, P. Shanahan, Phys. Rev. D 98, 074506 (2018) arXiv:1805.00531

    ADS  Google Scholar 

  135. S. Dulat, T.J. Hou, J. Gao, M. Guzzi, J. Huston, P. Nadolsky, J. Pumplin, C. Schmidt, D. Stump, C.P. Yuan, Phys. Rev. D 93, 033006 (2016) arXiv:1506.07443

    ADS  Google Scholar 

  136. P.E. Shanahan, W. Detmold, Phys. Rev. Lett. 122, 072003 (2019) arXiv:1810.07589

    ADS  Google Scholar 

  137. P.E. Shanahan, W. Detmold, Phys. Rev. D 99, 014511 (2019) arXiv:1810.04626

    ADS  Google Scholar 

  138. V.D. Burkert, L. Elouadrhiri, F.X. Girod, Nature 557, 396 (2018)

    ADS  Google Scholar 

  139. E. Chudakov, D. Higinbotham, C. Hyde, S. Furletov, Yu. Furletova, D. Nguyen, M. Stratmann, M. Strikman, C. Weiss, R. Yoshida, PoS DIS2016, 143 (2016) arXiv:1608.08686

    Google Scholar 

  140. H.W. Lin, J.W. Chen, S.D. Cohen, X. Ji, Phys. Rev. D 91, 054510 (2015) arXiv:1402.1462

    ADS  Google Scholar 

  141. C. Alexandrou, K. Cichy, V. Drach, E. Garcia-Ramos, K. Hadjiyiannakou, K. Jansen, F. Steffens, C. Wiese, Phys. Rev. D 92, 014502 (2015) arXiv:1504.07455

    ADS  Google Scholar 

  142. C.A. Meyer, E.S. Swanson, Prog. Part. Nucl. Phys. 82, 21 (2015) arXiv:1502.07276

    ADS  Google Scholar 

  143. R.F. Lebed, R.E. Mitchell, E.S. Swanson, Prog. Part. Nucl. Phys. 93, 143 (2017) arXiv:1610.04528

    ADS  Google Scholar 

  144. F.K. Guo, C. Hanhart, U.G. Meißner, Q. Wang, Q. Zhao, B.S. Zou, Rev. Mod. Phys. 90, 015004 (2018) arXiv:1705.00141

    ADS  Google Scholar 

  145. A. Duncan, E. Eichten, H. Thacker, Phys. Rev. Lett. 76, 3894 (1996) arXiv:hep-lat/9602005

    ADS  Google Scholar 

  146. T. Blum, T. Doi, M. Hayakawa, T. Izubuchi, N. Yamada, Phys. Rev. D 76, 114508 (2007) arXiv:0708.0484

    ADS  Google Scholar 

  147. S. Borsanyi et al., Science 347, 1452 (2015) arXiv:1406.4088

    ADS  Google Scholar 

  148. R. Horsley et al., J. Phys. G 43, 10LT02 (2016) arXiv:1508.06401

    Google Scholar 

  149. T. Blum, R. Zhou, T. Doi, M. Hayakawa, T. Izubuchi, S. Uno, N. Yamada, Phys. Rev. D 82, 094508 (2010) arXiv:1006.1311

    ADS  Google Scholar 

  150. S. Aoki et al., Phys. Rev. D 86, 034507 (2012) arXiv:1205.2961

    ADS  Google Scholar 

  151. RM123 Collaboration (G.M. de Divitiis, R. Frezzotti, V. Lubicz, G. Martinelli, R. Petronzio, G.C. Rossi, F. Sanfilippo, S. Simula, N. Tantalo), Phys. Rev. D 87, 114505 (2013) arXiv:1303.4896

    Google Scholar 

  152. J.J. Dudek, R.G. Edwards, M.J. Peardon, D.G. Richards, C.E. Thomas, Phys. Rev. D 82, 034508 (2010) arXiv:1004.4930

    ADS  Google Scholar 

  153. Hadron Spectrum Collaboration (J.J. Dudek, R.G. Edwards, P. Guo, C.E. Thomas), Phys. Rev. D 88, 094505 (2013) arXiv:1309.2608

    Google Scholar 

  154. Hadron Spectrum Collaboration (L. Liu, G. Moir, M. Peardon, S.M. Ryan, C.E. Thomas, P. Vilaseca, J.J. Dudek, R.G. Edwards, B. Joo, D.G. Richards), JHEP 07, 126 (2012) arXiv:1204.5425

    Google Scholar 

  155. J.J. Dudek, R.G. Edwards, Phys. Rev. D 85, 054016 (2012) arXiv:1201.2349

    ADS  Google Scholar 

  156. J.J. Dudek, Phys. Rev. D 84, 074023 (2011) arXiv:1106.5515

    ADS  Google Scholar 

  157. M. Luscher, Commun. Math. Phys. 105, 153 (1986)

    ADS  MathSciNet  Google Scholar 

  158. M. Lüscher, Nucl. Phys. B 354, 531 (1991)

    ADS  Google Scholar 

  159. K. Rummukainen, S.A. Gottlieb, Nucl. Phys. B 450, 397 (1995) arXiv:hep-lat/9503028

    ADS  Google Scholar 

  160. X. Feng, X. Li, C. Liu, Phys. Rev. D 70, 014505 (2004) arXiv:hep-lat/0404001

    ADS  Google Scholar 

  161. S. He, X. Feng, C. Liu, JHEP 07, 011 (2005) arXiv:hep-lat/0504019

    ADS  Google Scholar 

  162. P.F. Bedaque, Phys. Lett. B 593, 82 (2004) arXiv:nucl-th/0402051

    ADS  Google Scholar 

  163. C. Liu, X. Feng, S. He, Int. J. Mod. Phys. A 21, 847 (2006) arXiv:hep-lat/0508022

    ADS  Google Scholar 

  164. C.h. Kim, C.T. Sachrajda, S.R. Sharpe, Nucl. Phys. B 727, 218 (2005) arXiv:hep-lat/0507006

    ADS  Google Scholar 

  165. N.H. Christ, C. Kim, T. Yamazaki, Phys. Rev. D 72, 114506 (2005) arXiv:hep-lat/0507009

    ADS  Google Scholar 

  166. M. Lage, U.G. Meissner, A. Rusetsky, Phys. Lett. B 681, 439 (2009) arXiv:0905.0069

    ADS  Google Scholar 

  167. V. Bernard, M. Lage, U.G. Meissner, A. Rusetsky, JHEP 01, 019 (2011) arXiv:1010.6018

    ADS  Google Scholar 

  168. Z. Fu, Phys. Rev. D 85, 014506 (2012) arXiv:1110.0319

    ADS  Google Scholar 

  169. M. Gockeler, R. Horsley, M. Lage, U.G. Meissner, P.E.L. Rakow, A. Rusetsky, G. Schierholz, J.M. Zanotti, Phys. Rev. D 86, 094513 (2012) arXiv:1206.4141

    ADS  Google Scholar 

  170. L. Leskovec, S. Prelovsek, Phys. Rev. D 85, 114507 (2012) arXiv:1202.2145

    ADS  Google Scholar 

  171. R.A. Briceno, Z. Davoudi, Phys. Rev. D 88, 094507 (2013) arXiv:1204.1110

    ADS  Google Scholar 

  172. M.T. Hansen, S.R. Sharpe, Phys. Rev. D 86, 016007 (2012) arXiv:1204.0826

    ADS  Google Scholar 

  173. P. Guo, J. Dudek, R. Edwards, A.P. Szczepaniak, Phys. Rev. D 88, 014501 (2013) arXiv:1211.0929

    ADS  Google Scholar 

  174. N. Li, C. Liu, Phys. Rev. D 87, 014502 (2013) arXiv:1209.2201

    ADS  Google Scholar 

  175. R.A. Briceño, Z. Davoudi, T.C. Luu, M.J. Savage, Phys. Rev. D 89, 074509 (2014) arXiv:1311.7686

    ADS  Google Scholar 

  176. R.A. Briceño, Phys. Rev. D 89, 074507 (2014) arXiv:1401.3312

    ADS  Google Scholar 

  177. CP-PACS Collaboration (S. Aoki et al.), Phys. Rev. D 76, 094506 (2007) arXiv:0708.3705

    Google Scholar 

  178. X. Feng, K. Jansen, D.B. Renner, Phys. Rev. D 83, 094505 (2011) arXiv:1011.5288

    ADS  Google Scholar 

  179. C.B. Lang, D. Mohler, S. Prelovsek, M. Vidmar, Phys. Rev. D 84, 054503 (2011) Phys. Rev. D 89

    ADS  Google Scholar 

  180. CS Collaboration (S. Aoki et al.), Phys. Rev. D 84, 094505 (2011) arXiv:1106.5365

    Google Scholar 

  181. Hadron Spectrum Collaboration (J.J. Dudek, R.G. Edwards, C.E. Thomas), Phys. Rev. D 87, 034505 (2013) Phys. Rev. D 90

    Google Scholar 

  182. C. Pelissier, A. Alexandru, Phys. Rev. D 87, 014503 (2013) arXiv:1211.0092

    ADS  Google Scholar 

  183. D.J. Wilson, R.A. Briceño, J.J. Dudek, R.G. Edwards, C.E. Thomas, Phys. Rev. D 92, 094502 (2015) arXiv:1507.02599

    ADS  Google Scholar 

  184. RQCD Collaboration (G.S. Bali, S. Collins, A. Cox, G. Donald, M. Göckeler, C.B. Lang, A. Schäfer), Phys. Rev. D 93, 054509 (2016) arXiv:1512.08678

    ADS  Google Scholar 

  185. J. Bulava, B. Fahy, B. Hörz, K.J. Juge, C. Morningstar, C.H. Wong, Nucl. Phys. B 910, 842 (2016) arXiv:1604.05593

    ADS  Google Scholar 

  186. D. Guo, A. Alexandru, R. Molina, M. Döring, Phys. Rev. D 94, 034501 (2016) arXiv:1605.03993

    ADS  Google Scholar 

  187. R.A. Briceño, J.J. Dudek, R.G. Edwards, D.J. Wilson, Phys. Rev. Lett. 118, 022002 (2017) arXiv:1607.05900

    ADS  Google Scholar 

  188. D. Guo, A. Alexandru, R. Molina, M. Mai, M. Döring, Phys. Rev. D 98, 014507 (2018) arXiv:1803.02897

    ADS  Google Scholar 

  189. C.B. Lang, L. Leskovec, D. Mohler, S. Prelovsek, Phys. Rev. D 86, 054508 (2012) arXiv:1207.3204

    ADS  Google Scholar 

  190. Z. Fu, K. Fu, Phys. Rev. D 86, 094507 (2012) arXiv:1209.0350

    ADS  Google Scholar 

  191. S. Prelovsek, L. Leskovec, C.B. Lang, D. Mohler, Phys. Rev. D 88, 054508 (2013) arXiv:1307.0736

    ADS  Google Scholar 

  192. R. Brett, J. Bulava, J. Fallica, A. Hanlon, B. Hörz, C. Morningstar, Nucl. Phys. B 932, 29 (2018) arXiv:1802.03100

    ADS  Google Scholar 

  193. C.W. Andersen, J. Bulava, B. Hörz, C. Morningstar, Phys. Rev. D 97, 014506 (2018) arXiv:1710.01557

    ADS  Google Scholar 

  194. M. Luscher, U. Wolff, Nucl. Phys. B 339, 222 (1990)

    ADS  Google Scholar 

  195. X. Li, C. Liu, Phys. Lett. B 587, 100 (2004) arXiv:hep-lat/0311035

    ADS  Google Scholar 

  196. W. Detmold, M.J. Savage, Nucl. Phys. A 743, 170 (2004) arXiv:hep-lat/0403005

    ADS  Google Scholar 

  197. D. Mohler, S. Prelovsek, R. Woloshyn, Phys. Rev. D 87, 034501 (2013) arXiv:1208.4059

    ADS  Google Scholar 

  198. S. Prelovsek, L. Leskovec, Phys. Rev. Lett. 111, 192001 (2013) arXiv:1307.5172

    ADS  Google Scholar 

  199. C.B. Lang, L. Leskovec, D. Mohler, S. Prelovsek, R.M. Woloshyn, Phys. Rev. D 90, 034510 (2014) arXiv:1403.8103

    ADS  Google Scholar 

  200. C.B. Lang, L. Leskovec, D. Mohler, S. Prelovsek, JHEP 09, 089 (2015) arXiv:1503.05363

    ADS  Google Scholar 

  201. C.B. Lang, D. Mohler, S. Prelovsek, Phys. Rev. D 94, 074509 (2016) arXiv:1607.03185

    ADS  Google Scholar 

  202. Hadron Spectrum Collaboration (J.J. Dudek, R.G. Edwards, C.E. Thomas, D.J. Wilson), Phys. Rev. Lett. 113, 182001 (2014) arXiv:1406.4158

    ADS  Google Scholar 

  203. D.J. Wilson, J.J. Dudek, R.G. Edwards, C.E. Thomas, Phys. Rev. D 91, 054008 (2015) arXiv:1411.2004

    ADS  Google Scholar 

  204. G. Moir, M. Peardon, S.M. Ryan, C.E. Thomas, D.J. Wilson, JHEP 10, 011 (2016) arXiv:1607.07093

    ADS  Google Scholar 

  205. Hadron Spectrum Collaboration (J.J. Dudek, R.G. Edwards, D.J. Wilson), Phys. Rev. D 93, 094506 (2016) arXiv:1602.05122

    ADS  Google Scholar 

  206. R.A. Briceño, J.J. Dudek, R.G. Edwards, D.J. Wilson, Phys. Rev. D 97, 054513 (2018) arXiv:1708.06667

    ADS  Google Scholar 

  207. M. Doring, U.G. Meissner, E. Oset, A. Rusetsky, Eur. Phys. J. A 47, 139 (2011) arXiv:1107.3988

    ADS  Google Scholar 

  208. M. Albaladejo, P. Fernandez-Soler, F.K. Guo, J. Nieves, Phys. Lett. B 767, 465 (2017) arXiv:1610.06727

    ADS  Google Scholar 

  209. L. Lellouch, M. Lüscher, Commun. Math. Phys. 219, 31 (2001) arXiv:hep-lat/0003023

    ADS  Google Scholar 

  210. C.J.D. Lin, G. Martinelli, C.T. Sachrajda, M. Testa, Nucl. Phys. B 619, 467 (2001) arXiv:hep-lat/0104006

    ADS  Google Scholar 

  211. V. Bernard, D. Hoja, U.G. Meissner, A. Rusetsky, JHEP 09, 023 (2012) arXiv:1205.4642

    ADS  Google Scholar 

  212. A. Agadjanov, V. Bernard, U.G. Meißner, A. Rusetsky, Nucl. Phys. B 886, 1199 (2014) arXiv:1405.3476

    ADS  Google Scholar 

  213. R.A. Briceño, M.T. Hansen, A. Walker-Loud, Phys. Rev. D 91, 034501 (2015) arXiv:1406.5965

    ADS  Google Scholar 

  214. R.A. Briceño, M.T. Hansen, Phys. Rev. D 92, 074509 (2015) arXiv:1502.04314

    ADS  Google Scholar 

  215. R.A. Briceño, M.T. Hansen, Phys. Rev. D 94, 013008 (2016) arXiv:1509.08507

    ADS  Google Scholar 

  216. A. Agadjanov, V. Bernard, U.G. Meißner, A. Rusetsky, Nucl. Phys. B 910, 387 (2016) arXiv:1605.03386

    ADS  Google Scholar 

  217. R.A. Briceño, J.J. Dudek, R.G. Edwards, C.J. Shultz, C.E. Thomas, D.J. Wilson, Phys. Rev. Lett. 115, 242001 (2015) arXiv:1507.06622

    ADS  Google Scholar 

  218. R.A. Briceño, J.J. Dudek, R.G. Edwards, C.J. Shultz, C.E. Thomas, D.J. Wilson, Phys. Rev. D 93, 114508 (2016) arXiv:1604.03530

    ADS  Google Scholar 

  219. C. Alexandrou, L. Leskovec, S. Meinel, J. Negele, S. Paul, M. Petschlies, A. Pochinsky, G. Rendon, S. Syritsyn, Phys. Rev. D 98, 074502 (2018) arXiv:1807.08357

    ADS  Google Scholar 

  220. X. Feng, S. Aoki, S. Hashimoto, T. Kaneko, Phys. Rev. D 91, 054504 (2015) arXiv:1412.6319

    ADS  Google Scholar 

  221. Hadron Spectrum Collaboration (M. Peardon, J. Bulava, J. Foley, C. Morningstar, J. Dudek, R.G. Edwards, B. Joo, H.W. Lin, D.G. Richards, K.J. Juge), Phys. Rev. D 80, 054506 (2009) arXiv:0905.2160

    Google Scholar 

  222. C. Morningstar, J. Bulava, J. Foley, K.J. Juge, D. Lenkner, M. Peardon, C.H. Wong, Phys. Rev. D 83, 114505 (2011) arXiv:1104.3870

    ADS  Google Scholar 

  223. A. Woss, C.E. Thomas, J.J. Dudek, R.G. Edwards, D.J. Wilson, JHEP 07, 043 (2018) arXiv:1802.05580

    ADS  Google Scholar 

  224. K. Polejaeva, A. Rusetsky, Eur. Phys. J. A 48, 67 (2012) arXiv:1203.1241

    ADS  Google Scholar 

  225. M.T. Hansen, S.R. Sharpe, Phys. Rev. D 92, 114509 (2015) arXiv:1504.04248

    ADS  Google Scholar 

  226. M.T. Hansen, S.R. Sharpe, Phys. Rev. D 90, 116003 (2014) arXiv:1408.5933

    ADS  Google Scholar 

  227. R.A. Briceño, M.T. Hansen, S.R. Sharpe, Phys. Rev. D 99, 014516 (2019) arXiv:1810.01429

    ADS  Google Scholar 

  228. M. Döring, H.W. Hammer, M. Mai, J.Y. Pang, A. Rusetsky, J. Wu, Phys. Rev. D 97, 114508 (2018) arXiv:1802.03362

    ADS  Google Scholar 

  229. M. Mai, M. Döring, Eur. Phys. J. A 53, 240 (2017) arXiv:1709.08222

    ADS  Google Scholar 

  230. M. Mai, M. Doring, Phys. Rev. Lett. 122, 062503 (2019) arXiv:1807.04746

    ADS  Google Scholar 

  231. H.W. Hammer, J.Y. Pang, A. Rusetsky, JHEP 10, 115 (2017) arXiv:1707.02176

    ADS  Google Scholar 

  232. H.W. Hammer, J.Y. Pang, A. Rusetsky, JHEP 09, 109 (2017) arXiv:1706.07700

    ADS  Google Scholar 

  233. Belle Collaboration (S.K. Choi et al.), Phys. Rev. Lett. 91, 262001 (2003) arXiv:hep-ex/0309032

    Google Scholar 

  234. F.K. Guo, U.G. Meißner, W. Wang, Z. Yang, Phys. Rev. D 92, 071502 (2015) arXiv:1507.04950

    ADS  Google Scholar 

  235. A.P. Szczepaniak, Phys. Lett. B 747, 410 (2015) arXiv:1501.01691

    ADS  Google Scholar 

  236. Hadron Spectrum Collaboration (G.K.C. Cheung, C.E. Thomas, J.J. Dudek, R.G. Edwards), JHEP 11, 033 (2017) arXiv:1709.01417

    Google Scholar 

  237. S. Prelovsek, C.B. Lang, L. Leskovec, D. Mohler, Phys. Rev. D 91, 014504 (2015) arXiv:1405.7623

    ADS  Google Scholar 

  238. A. Francis, R.J. Hudspith, R. Lewis, K. Maltman, Phys. Rev. Lett. 118, 142001 (2017) arXiv:1607.05214

    ADS  Google Scholar 

  239. P. Junnarkar, N. Mathur, M. Padmanath, Phys. Rev. D 99, 034507 (2019) arXiv:1810.12285

    ADS  Google Scholar 

  240. L. Leskovec, S. Meinel, M. Pflaumer, M. Wagner, Phys. Rev. D 100, 014503 (2019) arXiv:1904.04197

    ADS  Google Scholar 

  241. C. Hughes, E. Eichten, C.T.H. Davies, Phys. Rev. D 97, 054505 (2018) arXiv:1710.03236

    ADS  Google Scholar 

  242. A. Francis, R.J. Hudspith, R. Lewis, K. Maltman, Phys. Rev. D 99, 054505 (2019) arXiv:1810.10550

    ADS  Google Scholar 

  243. J.G. Korner, M. Kramer, D. Pirjol, Prog. Part. Nucl. Phys. 33, 787 (1994) arXiv:hep-ph/9406359

    ADS  Google Scholar 

  244. A.V. Manohar, M.B. Wise, Camb. Monogr. Part. Phys. Nucl. Phys. Cosmol. 10, 1 (2000)

    Google Scholar 

  245. J. Carlson, L. Heller, J.A. Tjon, Phys. Rev. D 37, 744 (1988)

    ADS  Google Scholar 

  246. M.J. Savage, M.B. Wise, Phys. Lett. B 248, 177 (1990)

    ADS  Google Scholar 

  247. A.V. Manohar, M.B. Wise, Nucl. Phys. B 399, 17 (1993) arXiv:hep-ph/9212236

    ADS  Google Scholar 

  248. N. Brambilla, A. Vairo, T. Rosch, Phys. Rev. D 72, 034021 (2005) arXiv:hep-ph/0506065

    ADS  Google Scholar 

  249. E.J. Eichten, C. Quigg, Phys. Rev. Lett. 119, 202002 (2017) arXiv:1707.09575

    Google Scholar 

  250. CMS Collaboration (S. Chatrchyan et al.), Phys. Rev. Lett. 108, 252002 (2012) arXiv:1204.5955

    ADS  Google Scholar 

  251. LHCb Collaboration (R. Aaij et al.), Phys. Rev. Lett. 109, 172003 (2012) arXiv:1205.3452

    Google Scholar 

  252. LHCb Collaboration (R. Aaij et al.), Phys. Rev. Lett. 114, 062004 (2015) arXiv:1411.4849

    ADS  Google Scholar 

  253. LHCb Collaboration (R. Aaij et al.), JHEP 05, 161 (2016) arXiv:1604.03896

    Google Scholar 

  254. LHCb Collaboration (R. Aaij et al.), Phys. Rev. Lett. 119, 112001 (2017) arXiv:1707.01621

    ADS  Google Scholar 

  255. LHCb Collaboration (R. Aaij et al.), JHEP 05, 030 (2017) arXiv:1701.07873

    Google Scholar 

  256. LHCb Collaboration (R. Aaij et al.), Phys. Rev. Lett. 118, 182001 (2017) arXiv:1703.04639

    ADS  Google Scholar 

  257. LHCb Collaboration (R. Aaij et al.), Phys. Rev. Lett. 121, 072002 (2018) arXiv:1805.09418

    ADS  Google Scholar 

  258. LHCb Collaboration (R. Aaij et al.), Phys. Rev. Lett. 122, 012001 (2019) arXiv:1809.07752

    ADS  Google Scholar 

  259. Z.S. Brown, W. Detmold, S. Meinel, K. Orginos, Phys. Rev. D 90, 094507 (2014) arXiv:1409.0497

    ADS  Google Scholar 

  260. M. Padmanath, R.G. Edwards, N. Mathur, M. Peardon, Phys. Rev. D 91, 094502 (2015) arXiv:1502.01845

    ADS  Google Scholar 

  261. P. Perez-Rubio, S. Collins, G.S. Bali, Phys. Rev. D 92, 034504 (2015) arXiv:1503.08440

    ADS  Google Scholar 

  262. K.U. Can, G. Erkol, M. Oka, T.T. Takahashi, Phys. Rev. D 92, 114515 (2015) arXiv:1508.03048

    ADS  Google Scholar 

  263. C. Alexandrou, K. Hadjiyiannakou, C. Kallidonis, Phys. Rev. D 94, 034502 (2016) arXiv:1606.01650

    ADS  Google Scholar 

  264. H. Bahtiyar, K.U. Can, G. Erkol, M. Oka, T.T. Takahashi, Phys. Rev. D 98, 114505 (2018) arXiv:1807.06795

    ADS  Google Scholar 

  265. R.M. Woloshyn, Eur. Phys. J. A 52, 273 (2016) arXiv:1605.09043

    ADS  Google Scholar 

  266. C. Alexandrou, C. Kallidonis, Phys. Rev. D 96, 034511 (2017) arXiv:1704.02647

    ADS  Google Scholar 

  267. N. Mathur, M. Padmanath, S. Mondal, Phys. Rev. Lett. 121, 202002 (2018) arXiv:1806.04151

    ADS  Google Scholar 

  268. N. Mathur, M. Padmanath, Phys. Rev. D 99, 031501 (2019) arXiv:1807.00174

    ADS  Google Scholar 

  269. LHCb Collaboration (R. Aaij et al.), Phys. Rev. Lett. 115, 072001 (2015) arXiv:1507.03414

    ADS  Google Scholar 

  270. LHCb Collaboration (R. Aaij et al.), Phys. Rev. Lett. 122, 222001 (2019) arXiv:1904.03947

    ADS  Google Scholar 

  271. K. Yokokawa, S. Sasaki, T. Hatsuda, A. Hayashigaki, Phys. Rev. D 74, 034504 (2006) arXiv:hep-lat/0605009

    ADS  Google Scholar 

  272. L. Liu, H.W. Lin, K. Orginos, PoS LATTICE2008, 112 (2008) arXiv:0810.5412

    Google Scholar 

  273. T. Kawanai, S. Sasaki, Phys. Rev. D 82, 091501 (2010) arXiv:1009.3332

    ADS  Google Scholar 

  274. S.R. Beane, E. Chang, S.D. Cohen, W. Detmold, H.W. Lin, K. Orginos, A. Parreño, M.J. Savage, Phys. Rev. D 91, 114503 (2015) arXiv:1410.7069

    ADS  Google Scholar 

  275. U. Skerbis, S. Prelovsek, Phys. Rev. D 99, 094505 (2019) arXiv:1811.02285

    ADS  Google Scholar 

  276. PACS-CS Collaboration (T. Yamazaki, Y. Kuramashi, A. Ukawa), Phys. Rev. D 81, 111504 (2010) arXiv:0912.1383

    Google Scholar 

  277. NPLQCD Collaboration (S.R. Beane, P.F. Bedaque, T.C. Luu, K. Orginos, E. Pallante, A. Parreno, M.J. Savage), Nucl. Phys. A 794, 62 (2007) arXiv:hep-lat/0612026

    ADS  Google Scholar 

  278. S.R. Beane, P.F. Bedaque, K. Orginos, M.J. Savage, Phys. Rev. Lett. 97, 012001 (2006) arXiv:hep-lat/0602010

    ADS  Google Scholar 

  279. S.R. Beane, W. Detmold, T.C. Luu, K. Orginos, A. Parreno, M.J. Savage, A. Torok, A. Walker-Loud, Phys. Rev. D 80, 074501 (2009) arXiv:0905.0466

    ADS  Google Scholar 

  280. S.R. Beane, W. Detmold, T.C. Luu, K. Orginos, A. Parreno, M.J. Savage, A. Torok, A. Walker-Loud, Phys. Rev. D 79, 114502 (2009) arXiv:0903.2990

    ADS  Google Scholar 

  281. NPLQCD Collaboration (S.R. Beane et al.), Phys. Rev. Lett. 106, 162001 (2011) arXiv:1012.3812

    Google Scholar 

  282. HAL QCD Collaboration (T. Inoue, N. Ishii, S. Aoki, T. Doi, T. Hatsuda, Y. Ikeda, K. Murano, H. Nemura, K. Sasaki), Phys. Rev. Lett. 106, 162002 (2011) arXiv:1012.5928

    Google Scholar 

  283. S.R. Beane et al., Mod. Phys. Lett. A 26, 2587 (2011) arXiv:1103.2821

    ADS  Google Scholar 

  284. NPLQCD Collaboration (S.R. Beane, E. Chang, W. Detmold, H.W. Lin, T.C. Luu, K. Orginos, A. Parreno, M.J. Savage, A. Torok, A. Walker-Loud), Phys. Rev. D 85, 054511 (2012) arXiv:1109.2889

    Google Scholar 

  285. E. Berkowitz, T. Kurth, A. Nicholson, B. Joo, E. Rinaldi, M. Strother, P.M. Vranas, A. Walker-Loud, Phys. Lett. B 765, 285 (2017) arXiv:1508.00886

    ADS  Google Scholar 

  286. A. Francis, J.R. Green, P.M. Junnarkar, C. Miao, T.D. Rae, H. Wittig, Phys. Rev. D 99, 074505 (2019) arXiv:1805.03966

    ADS  Google Scholar 

  287. M.L. Wagman, F. Winter, E. Chang, Z. Davoudi, W. Detmold, K. Orginos, M.J. Savage, P.E. Shanahan, Phys. Rev. D 96, 114510 (2017) arXiv:1706.06550

    ADS  Google Scholar 

  288. N. Ishii, S. Aoki, T. Hatsuda, Phys. Rev. Lett. 99, 022001 (2007) arXiv:nucl-th/0611096

    ADS  Google Scholar 

  289. W. Detmold, K. Orginos, M.J. Savage, Phys. Rev. D 76, 114503 (2007) arXiv:hep-lat/0703009

    ADS  Google Scholar 

  290. M.C. Birse, Eur. Phys. J. A 53, 223 (2017) arXiv:1208.4807

    ADS  Google Scholar 

  291. T. Yamazaki, Y. Kuramashi, Phys. Rev. D 98, 038502 (2018) arXiv:1808.06299

    ADS  MathSciNet  Google Scholar 

  292. T. Yamazaki, Y. Kuramashi, Phys. Rev. D 96, 114511 (2017) arXiv:1709.09779

    ADS  MathSciNet  Google Scholar 

  293. Y. Namekawa, T. Yamazaki, Phys. Rev. D 98, 011501 (2018) arXiv:1712.10141

    ADS  Google Scholar 

  294. HAL QCD Collaboration (D. Kawai, S. Aoki, T. Doi, Y. Ikeda, T. Inoue, T. Iritani, N. Ishii, T. Miyamoto, H. Nemura, K. Sasaki), Prog. Theor. Exp. Phys. 2018, 043B04 (2018) arXiv:1711.01883

    Google Scholar 

  295. S.R. Beane, W. Detmold, T.C. Luu, K. Orginos, M.J. Savage, A. Torok, Phys. Rev. Lett. 100, 082004 (2008) arXiv:0710.1827

    ADS  Google Scholar 

  296. W. Detmold, K. Orginos, M.J. Savage, A. Walker-Loud, Phys. Rev. D 78, 054514 (2008) arXiv:0807.1856

    ADS  Google Scholar 

  297. W. Detmold, B. Smigielski, Phys. Rev. D 84, 014508 (2011) arXiv:1103.4362

    ADS  Google Scholar 

  298. NPLQCD Collaboration (S.R. Beane, E. Chang, S.D. Cohen, W. Detmold, H.W. Lin, T.C. Luu, K. Orginos, A. Parreno, M.J. Savage, A. Walker-Loud), Phys. Rev. D 87, 034506 (2013) arXiv:1206.5219

    Google Scholar 

  299. T. Yamazaki, K.i. Ishikawa, Y. Kuramashi, A. Ukawa, Phys. Rev. D 86, 074514 (2012) arXiv:1207.4277

    ADS  Google Scholar 

  300. T. Yamazaki, K.i. Ishikawa, Y. Kuramashi, A. Ukawa, Phys. Rev. D 92, 014501 (2015) arXiv:1502.04182

    ADS  Google Scholar 

  301. HAL QCD Collaboration (T. Iritani, S. Aoki, T. Doi, S. Gongyo, T. Hatsuda, Y. Ikeda, T. Inoue, N. Ishii, H. Nemura, K. Sasaki), Phys. Rev. D 99, 014514 (2019) arXiv:1805.02365

    ADS  Google Scholar 

  302. S.R. Beane, arXiv:1705.09239 (2017)

  303. PACS Collaboration (T. Yamazaki, K.i. Ishikawa, Y. Kuramashi), EPJ Web of Conferences 175, 05019 (2018) arXiv:1710.08066

    Google Scholar 

  304. G.P. Lepage, The analysis of algorithms for lattice field theory, lectures given at TASI’89 Summer School, Boulder, CO, Jun 4--30, 1989

  305. G. Parisi, Phys. Rep. 103, 203 (1984)

    ADS  Google Scholar 

  306. H.W. Hamber, E. Marinari, G. Parisi, C. Rebbi, Nucl. Phys. B 225, 475 (1983)

    ADS  Google Scholar 

  307. S.R. Beane, W. Detmold, K. Orginos, M.J. Savage, J. Phys. G 42, 034022 (2015) arXiv:1410.2937

    ADS  Google Scholar 

  308. M.L. Wagman, PhD Thesis, Washington U., Seattle, arXiv:1711.00062 (2017)

  309. M.L. Wagman, M.J. Savage, arXiv:1704.07356 (2017)

  310. M.L. Wagman, M.J. Savage, Phys. Rev. D 96, 114508 (2017) arXiv:1611.07643

    ADS  Google Scholar 

  311. W. Detmold, G. Kanwar, M.L. Wagman, Phys. Rev. D 98, 074511 (2018) arXiv:1806.01832

    ADS  MathSciNet  Google Scholar 

  312. W. Detmold, M.G. Endres, Phys. Rev. D 90, 034503 (2014) arXiv:1404.6816

    ADS  Google Scholar 

  313. T. Doi, M.G. Endres, Comput. Phys. Commun. 184, 117 (2013) arXiv:1205.0585

    ADS  MathSciNet  Google Scholar 

  314. J. Günther, B.C. Toth, L. Varnhorst, Phys. Rev. D 87, 094513 (2013) arXiv:1301.4895

    ADS  Google Scholar 

  315. W. Detmold, M.J. Savage, Phys. Rev. D 82, 014511 (2010) arXiv:1001.2768

    ADS  Google Scholar 

  316. W. Detmold, K. Orginos, Phys. Rev. D 87, 114512 (2013) arXiv:1207.1452

    ADS  Google Scholar 

  317. K. Orginos, A. Parreno, M.J. Savage, S.R. Beane, E. Chang, W. Detmold, Phys. Rev. D 92, 114512 (2015) arXiv:1508.07583

    ADS  Google Scholar 

  318. E. Epelbaum, H. Krebs, T.A. Lähde, D. Lee, U.G. Meißner, Phys. Rev. Lett. 110, 112502 (2013) arXiv:1212.4181

    ADS  Google Scholar 

  319. J.C. Berengut, E. Epelbaum, V.V. Flambaum, C. Hanhart, U.G. Meissner, J. Nebreda, J.R. Pelaez, Phys. Rev. D 87, 085018 (2013) arXiv:1301.1738

    ADS  Google Scholar 

  320. M.E. Carrillo-Serrano, I.C. Cloët, K. Tsushima, A.W. Thomas, I.R. Afnan, Phys. Rev. C 87, 015801 (2013) arXiv:1208.3009

    ADS  Google Scholar 

  321. W. Detmold, M. McCullough, A. Pochinsky, Phys. Rev. D 90, 115013 (2014) arXiv:1406.2276

    ADS  Google Scholar 

  322. W. Detmold, M. McCullough, A. Pochinsky, Phys. Rev. D 90, 114506 (2014) arXiv:1406.4116

    ADS  Google Scholar 

  323. V. Ayyar, T. DeGrand, M. Golterman, D.C. Hackett, W.I. Jay, E.T. Neil, Y. Shamir, B. Svetitsky, Phys. Rev. D 97, 074505 (2018) arXiv:1710.00806

    ADS  Google Scholar 

  324. European Muon Collaboration (J.J. Aubert et al.), Phys. Lett. B 123, 275 (1983)

    Google Scholar 

  325. S.R. Beane, E. Chang, S. Cohen, W. Detmold, H.W. Lin, K. Orginos, A. Parreno, M.J. Savage, B.C. Tiburzi, Phys. Rev. Lett. 113, 252001 (2014) arXiv:1409.3556

    ADS  Google Scholar 

  326. NPLQCD Collaboration (S.R. Beane, E. Chang, W. Detmold, K. Orginos, A. Parreño, M.J. Savage, B.C. Tiburzi), Phys. Rev. Lett. 115, 132001 (2015) arXiv:1505.02422

    ADS  Google Scholar 

  327. W. Detmold, K. Orginos, A. Parreno, M.J. Savage, B.C. Tiburzi, S.R. Beane, E. Chang, Phys. Rev. Lett. 116, 112301 (2016) arXiv:1508.05884

    ADS  Google Scholar 

  328. M.J. Savage, P.E. Shanahan, B.C. Tiburzi, M.L. Wagman, F. Winter, S.R. Beane, E. Chang, Z. Davoudi, W. Detmold, K. Orginos, Phys. Rev. Lett. 119, 062002 (2017) arXiv:1610.04545

    ADS  Google Scholar 

  329. NPLQCD Collaboration (E. Chang, Z. Davoudi, W. Detmold, A.S. Gambhir, K. Orginos, M.J. Savage, P.E. Shanahan, M.L. Wagman, F. Winter), Phys. Rev. Lett. 120, 152002 (2018) arXiv:1712.03221

    ADS  Google Scholar 

  330. T. Marrodán Undagoitia, L. Rauch, J. Phys. G 43, 013001 (2016) arXiv:1509.08767

    ADS  Google Scholar 

  331. C. Delaunay, R. Ozeri, G. Perez, Y. Soreq, Phys. Rev. D 96, 093001 (2017) arXiv:1601.05087

    ADS  Google Scholar 

  332. C. Delaunay, C. Frugiuele, E. Fuchs, Y. Soreq, Phys. Rev. D 96, 115002 (2017) arXiv:1709.02817

    ADS  Google Scholar 

  333. J. Engel, M.J. Ramsey-Musolf, U. van Kolck, Prog. Part. Nucl. Phys. 71, 21 (2013) arXiv:1303.2371

    ADS  Google Scholar 

  334. N. Yamanaka, Int. J. Mod. Phys. E 26, 1730002 (2017) arXiv:1609.04759

    ADS  Google Scholar 

  335. T. Chupp, P. Fierlinger, M. Ramsey-Musolf, J. Singh, Rev. Mod. Phys. 91, 015001 (2019) arXiv:1710.02504

    ADS  Google Scholar 

  336. R.J. Hill, EPJ Web of Conferences 137, 01023 (2017) arXiv:1702.01189

    Google Scholar 

  337. J.W. Chen, W. Detmold, Phys. Lett. B 625, 165 (2005) arXiv:hep-ph/0412119

    ADS  Google Scholar 

  338. J.W. Chen, W. Detmold, J.E. Lynn, A. Schwenk, Phys. Rev. Lett. 119, 262502 (2017) arXiv:1607.03065

    ADS  Google Scholar 

  339. O. Hen, G.A. Miller, E. Piasetzky, L.B. Weinstein, Rev. Mod. Phys. 89, 045002 (2017) arXiv:1611.09748

    ADS  Google Scholar 

  340. J.M. Lattimer, M. Prakash, Astrophys. J. 550, 426 (2001) arXiv:astro-ph/0002232

    ADS  Google Scholar 

  341. S.R. Beane, E. Chang, S.D. Cohen, W. Detmold, H.W. Lin, T.C. Luu, K. Orginos, A. Parreno, M.J. Savage, A. Walker-Loud, Phys. Rev. Lett. 109, 172001 (2012) arXiv:1204.3606

    ADS  Google Scholar 

  342. LIGO Scientific, Virgo Collaborations (B. Abbott et al.), Phys. Rev. Lett. 119, 161101 (2017) arXiv:1710.05832

    ADS  Google Scholar 

  343. LIGO Scientific, Virgo, Fermi GBM, INTEGRAL, IceCube, AstroSat Cadmium Zinc Telluride Imager Team, IPN, Insight-Hxmt, ANTARES, Swift, AGILE Team, 1M2H Team, Dark Energy Camera GW-EM, DES, DLT40, GRAWITA, Fermi-LAT, ATCA, ASKAP, Las Cumbres Observatory Group, OzGrav, DWF (Deeper Wider Faster Program), AST3, CAASTRO, VINROUGE, MASTER, J-GEM, GROWTH, JAGWAR, CaltechNRAO, TTU-NRAO, NuSTAR, Pan-STARRS, MAXI Team, TZAC Consortium, KU, Nordic Optical Telescope, ePESSTO, GROND, Texas Tech University, SALT Group, TOROS, BOOTES, MWA, CALET, IKI-GW Follow-up, H.E.S.S., LOFAR, LWA, HAWC, Pierre Auger, ALMA, Euro VLBI Team, Pi of Sky, Chandra Team at McGill University, DFN, ATLAS Telescopes, High Time Resolution Universe Survey, RIMAS, RATIR, SKA South Africa/MeerKAT Collaborations (B.P. Abbott et al.), Astrophys. J. 848, L12 (2017) arXiv:1710.05833

    ADS  Google Scholar 

  344. F. Ozel, D. Psaltis, Z. Arzoumanian, S. Morsink, M. Baubock, Astrophys. J. 832, 92 (2016) arXiv:1512.03067

    ADS  Google Scholar 

  345. S.R. Beane, M.J. Savage, Phys. Rev. D 90, 074511 (2014) arXiv:1407.4846

    ADS  Google Scholar 

  346. S.R. Beane, W. Detmold, M.J. Savage, Phys. Rev. D 76, 074507 (2007) arXiv:0707.1670

    ADS  Google Scholar 

  347. W. Detmold, M.J. Savage, Phys. Rev. D 77, 057502 (2008) arXiv:0801.0763

    ADS  Google Scholar 

  348. S. Tan, Phys. Rev. A 78, 013636 (2008) arXiv:0709.2530

    ADS  Google Scholar 

  349. S. Kreuzer, H.W. Hammer, Phys. Lett. B 694, 424 (2011) arXiv:1008.4499

    ADS  Google Scholar 

  350. R.A. Briceño, Z. Davoudi, Phys. Rev. D 87, 094507 (2013) arXiv:1212.3398

    ADS  Google Scholar 

  351. W. Detmold, PoS ConfinementX, 016 (2012)

    Google Scholar 

  352. W. Detmold, Eur. Phys. J. A 49, 83 (2013)

    ADS  Google Scholar 

  353. W. Detmold, Lect. Notes Phys. 889, 153 (2015)

    ADS  Google Scholar 

  354. J. Kirscher, Int. J. Mod. Phys. E 25, 1641001 (2016) arXiv:1509.07697

    ADS  Google Scholar 

  355. Z. Davoudi, EPJ Web of Conferences 175, 01022 (2018) arXiv:1711.02020

    Google Scholar 

  356. M.J. Savage, PoS LATTICE2016, 021 (2016) arXiv:1611.02078

    Google Scholar 

  357. N. Barnea, L. Contessi, D. Gazit, F. Pederiva, U. van Kolck, Phys. Rev. Lett. 114, 052501 (2015) arXiv:1311.4966

    ADS  Google Scholar 

  358. A. Bansal, S. Binder, A. Ekström, G. Hagen, G.R. Jansen, T. Papenbrock, Phys. Rev. C 98, 054301 (2018) arXiv:1712.10246

    ADS  Google Scholar 

  359. L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Phys. Lett. B 772, 839 (2017) arXiv:1701.06516

    ADS  Google Scholar 

  360. S. Gandolfi, J. Carlson, A. Roggero, J. Lynn, S. Reddy, Phys. Lett. B 785, 232 (2018) arXiv:1712.10236

    ADS  Google Scholar 

  361. J. Kirscher, E. Pazy, J. Drachman, N. Barnea, Phys. Rev. C 96, 024001 (2017) arXiv:1702.07268

    ADS  Google Scholar 

  362. T.A. Lähde, U.G. Meißner, Lect. Notes Phys. 957, 1 (2019)

    Google Scholar 

  363. T.A. Lähde, U.G. Meißner, E. Epelbaum, arXiv:1906.00607 (2019)

  364. A. Nicholson et al., Phys. Rev. Lett. 121, 172501 (2018) arXiv:1805.02634

    ADS  Google Scholar 

  365. X. Feng, L.C. Jin, X.Y. Tuo, S.C. Xia, Phys. Rev. Lett. 122, 022001 (2019) arXiv:1809.10511

    ADS  Google Scholar 

  366. W. Detmold, D. Murphy, PoS LATTICE2018, 262 (2019) arXiv:1811.05554

    Google Scholar 

  367. Intensity Frontier Charged Lepton Working Group (J. Albrecht), Working Group Report: Charged Leptons, in Proceedings, 2013 Community Summer Study on the Future of U.S. Particle Physics: Snowmass on the Mississippi (CSS2013): Minneapolis, MN, USA, July 29-August 6, 2013 (2013) arXiv:1311.5278

  368. S. Dell’Oro, S. Marcocci, M. Viel, F. Vissani, Adv. High Energy Phys. 2016, 2162659 (2016) arXiv:1601.07512

    Google Scholar 

  369. J. Engel, J. Menendez, Rep. Prog. Phys. 80, 046301 (2017) arXiv:1610.06548

    ADS  Google Scholar 

  370. A. Antognini et al., Science 339, 417 (2013)

    ADS  Google Scholar 

  371. M.A. Belushkin, H.W. Hammer, U.G. Meissner, Phys. Rev. C 75, 035202 (2007) arXiv:hep-ph/0608337

    ADS  Google Scholar 

  372. M. Hoferichter, B. Kubis, J. Ruiz de Elvira, H.W. Hammer, U.G. Meißner, Eur. Phys. J. A 52, 331 (2016) arXiv:1609.06722

    ADS  Google Scholar 

  373. J.M. Alarcón, C. Weiss, Phys. Lett. B 784, 373 (2018) arXiv:1803.09748

    ADS  Google Scholar 

  374. C. Bouchard, C.C. Chang, K. Orginos, D. Richards, PoS LATTICE2016, 170 (2016) arXiv:1610.02354

    Google Scholar 

  375. M. Burkardt, Int. J. Mod. Phys. A 18, 173 (2003) arXiv:hep-ph/0207047

    ADS  Google Scholar 

  376. G.A. Miller, Phys. Rev. Lett. 99, 112001 (2007) arXiv:0705.2409

    ADS  Google Scholar 

  377. C.E. Carlson, M. Vanderhaeghen, Phys. Rev. Lett. 100, 032004 (2008) arXiv:0710.0835

    ADS  Google Scholar 

  378. R. Hofstadter, R.W. McAllister, Phys. Rev. 98, 217 (1955)

    ADS  Google Scholar 

  379. E.E. Chambers, R. Hofstadter, Phys. Rev. 103, 1454 (1956)

    ADS  Google Scholar 

  380. G.S. Bali, B. Lang, B.U. Musch, A. Schäfer, Phys. Rev. D 93, 094515 (2016) arXiv:1602.05525

    ADS  Google Scholar 

  381. S. Syritsyn, A.S. Gambhir, B. Musch, K. Orginos, PoS LATTICE2016, 176 (2017)

    Google Scholar 

  382. A. Baroni, R.A. Briceño, M.T. Hansen, F.G. Ortega-Gama, Phys. Rev. D 100, 034511 (2019) arXiv:1812.10504

    ADS  Google Scholar 

  383. C. Michael, Nucl. Phys. B 259, 58 (1985)

    ADS  Google Scholar 

  384. P. Vachaspati, W. Detmold, PoS LATTICE2014, 041 (2014) arXiv:1411.3691

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Center for Theoretical Physics, Massachusetts Institute of Technology, 02139, Cambridge, MA, USA

    William Detmold & Phiala Shanahan

  2. Thomas Jefferson National Accelerator Facility, 23606, Newport News, VA, USA

    Robert G. Edwards, Jozef J. Dudek & Kostas Orginos

  3. Department of Physics, The College of William & Mary, 23187, Williamsburg, VA, USA

    Jozef J. Dudek & Kostas Orginos

  4. Department of Physics, New Mexico State University, 88003-8001, Las Cruces, NM, USA

    Michael Engelhardt

  5. Department of Physics and Astronomy, Michigan State University, 48824, East Lansing, MI, USA

    Huey-Wen Lin

  6. Department of Physics, University of Arizona, 85721, Tucson, AZ, USA

    Stefan Meinel

  7. RIKEN BNL Research Center, Brookhaven National Laboratory, 11973, Upton, NY, USA

    Stefan Meinel

Authors
  1. William Detmold
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Robert G. Edwards
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jozef J. Dudek
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Michael Engelhardt
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Huey-Wen Lin
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Stefan Meinel
    View author publications

    You can also search for this author in PubMed Google Scholar

  7. Kostas Orginos
    View author publications

    You can also search for this author in PubMed Google Scholar

  8. Phiala Shanahan
    View author publications

    You can also search for this author in PubMed Google Scholar

Consortia

USQCD Collaboration

Corresponding author

Correspondence to William Detmold.

Additional information

Communicated by U.-G. Meißner

Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All data generated during this study are contained in this published article.]

Publisher’s Note

The EPJ Publishers remain neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

USQCD Collaboration., Detmold, W., Edwards, R.G. et al. Hadrons and nuclei. Eur. Phys. J. A 55, 193 (2019). https://doi.org/10.1140/epja/i2019-12902-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epja/i2019-12902-4

Search

Navigation