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Aspects of open-flavour mesons in a comprehensive DSBSE study

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Abstract.

Open-flavour meson studies are the necessary completion to any comprehensive investigation of quarkonia. We extend recent studies of quarkonia in the Dyson-Schwinger-Bethe-Salpeter equation approach to explore their results for all possible flavour combinations. Within the inherent limitations of the setup, we present the most comprehensive results for meson masses and leptonic decay constants currently available and put them in perspective with respect to experiment and other approaches.

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References

  1. T. Hilger, R. Thomas, B. Kämpfer, Phys. Rev. C 79, 025202 (2009)

    Article  ADS  Google Scholar 

  2. T. Hilger, B. Kämpfer, S. Leupold, Phys. Rev. C 84, 045202 (2011)

    Article  ADS  Google Scholar 

  3. E. Eichten, K. Gottfried, T. Kinoshita, K.D. Lane, T.M. Yan, Phys. Rev. D 21, 203 (1980)

    Article  ADS  Google Scholar 

  4. S. Godfrey, N. Isgur, Phys. Rev. D 32, 189 (1985)

    Article  ADS  Google Scholar 

  5. W. Roberts, M. Pervin, Int. J. Mod. Phys. A 23, 2817 (2008)

    Article  ADS  Google Scholar 

  6. T. Melde, W. Plessas, B. Sengl, Phys. Rev. D 77, 114002 (2008)

    Article  ADS  Google Scholar 

  7. M. Gomez-Rocha, W. Schweiger, Phys. Rev. D 86, 053010 (2012)

    Article  ADS  Google Scholar 

  8. M. Gomez-Rocha, Phys. Rev. D 90, 076003 (2014)

    Article  ADS  Google Scholar 

  9. Y. Li, P. Maris, X. Zhao, J.P. Vary, Phys. Lett. B 758, 118 (2016)

    Article  ADS  Google Scholar 

  10. J. Segovia, P.G. Ortega, D.R. Entem, F. Fernandez, Phys. Rev. D 93, 074027 (2016)

    Article  ADS  Google Scholar 

  11. J.P. Vary, L. Adhikari, G. Chen, Y. Li, P. Maris, X. Zhao, Few Body Syst. 57, 695 (2016)

    Article  ADS  Google Scholar 

  12. M. Berwein, N. Brambilla, J.T. Castella, A. Vairo, Phys. Rev. D 92, 114019 (2015)

    Article  ADS  Google Scholar 

  13. J.R. Peláez, T. Cohen, F.J. Llanes-Estrada, J. Ruiz de Elvira, Acta Phys. Pol. Suppl. 8, 465 (2015)

    Article  Google Scholar 

  14. C. Terschlüsen, S. Leupold, arXiv:1604.01682 (2016)

  15. D. Parganlija, F. Giacosa, arXiv:1612.09218 (2016)

  16. M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, Nucl. Phys. B 147, 385 (1979)

    Article  ADS  Google Scholar 

  17. M. Nielsen, F.S. Navarra, S.H. Lee, Phys. Rep. 497, 41 (2010)

    Article  ADS  Google Scholar 

  18. S. Narison, Nucl. Part. Phys. Proc. 258-259, 189 (2015)

    Article  Google Scholar 

  19. J. Ho, D. Harnett, T.G. Steele, arXiv:1609.06750 (2016)

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

    Article  ADS  Google Scholar 

  21. C.M. Bouchard, E. Freeland, C.W. Bernard, C.C. Chang, A.X. El-Khadra, M.E. Gámiz, A.S. Kronfeld, J. Laiho, R.S. Van de Water, PoS LATTICE2014, 378 (2014)

    Google Scholar 

  22. C.B. Lang, D. Mohler, S. Prelovsek, R.M. Woloshyn, Phys. Lett. B 750, 17 (2015)

    Article  ADS  Google Scholar 

  23. P.T.P. Hutauruk, I.C. Cloët, A.W. Thomas, Phys. Rev. C 94, 035201 (2016)

    Article  ADS  Google Scholar 

  24. C.B. Lang, AIP Conf. Proc. 1735, 020002 (2016)

    Article  Google Scholar 

  25. G. Eichmann, H. Sanchis-Alepuz, R. Williams, R. Alkofer, C.S. Fischer, Prog. Part. Nucl. Phys. 91, 1 (2016)

    Article  ADS  Google Scholar 

  26. D. Blaschke, G. Burau, Y.L. Kalinovsky, P. Maris, P.C. Tandy, Int. J. Mod. Phys. A 16, 2267 (2001)

    Article  ADS  Google Scholar 

  27. A. Krassnigg, C.D. Roberts, Fiz. B 13, 143 (2004)

    ADS  Google Scholar 

  28. R. Alkofer, M. Kloker, A. Krassnigg, R.F. Wagenbrunn, Phys. Rev. Lett. 96, 022001 (2006)

    Article  ADS  Google Scholar 

  29. G. Eichmann, A. Krassnigg, M. Schwinzerl, R. Alkofer, Ann. Phys. 323, 2505 (2008)

    Article  ADS  Google Scholar 

  30. G. Eichmann, R. Alkofer, A. Krassnigg, D. Nicmorus, Phys. Rev. Lett. 104, 201601 (2010)

    Article  ADS  Google Scholar 

  31. M. Blank, A. Krassnigg, Phys. Rev. D 82, 034006 (2010)

    Article  ADS  Google Scholar 

  32. J. Carbonell, V. Karmanov, Phys. Lett. B 727, 319 (2013)

    Article  ADS  Google Scholar 

  33. V. Sauli, Int. J. Theor. Phys. 54, 4131 (2015)

    Article  MathSciNet  Google Scholar 

  34. E.P. Biernat, M.T. Peña, J.E. Ribeiro, A. Stadler, F. Gross, Phys. Rev. D 90, 096008 (2014)

    Article  ADS  Google Scholar 

  35. A. Blum, M.Q. Huber, M. Mitter, L. von Smekal, Phys. Rev. D 89, 061703 (2014)

    Article  ADS  Google Scholar 

  36. E.P. Biernat, F. Gross, M.T. Peña, A. Stadler, Phys. Rev. D 92, 076011 (2015)

    Article  ADS  Google Scholar 

  37. M.A. Bedolla, J. Cobos-Martinez, A. Bashir, Phys. Rev. D 92, 054031 (2015)

    Article  ADS  Google Scholar 

  38. K. Raya, L. Chang, A. Bashir, J.J. Cobos-Martinez, L.X. Gutierrez-Guerrero, C.D. Roberts, P.C. Tandy, Phys. Rev. D 93, 074017 (2016)

    Article  ADS  Google Scholar 

  39. D. Binosi, L. Chang, J. Papavassiliou, S.X. Qin, C.D. Roberts, Phys. Rev. D 93, 096010 (2016)

    Article  ADS  Google Scholar 

  40. F.E. Serna, G. Krein, EPJ Web of Conferences 137, 13015 (2017)

    Article  Google Scholar 

  41. A. Maas, W.A. Mian, Eur. Phys. J. A 53, 22 (2017)

    Article  ADS  Google Scholar 

  42. D. Bettoni, EPJ Web of Conferences 73, 01006 (2014)

    Article  Google Scholar 

  43. A. Aprahamian, Reaching for the Horizon: The 2015 Long Range Plan for Nuclear Science (U.S. Department of Energy & National Science Foundation, 2015)

  44. C. Patrignani et al., Chin. Phys. C 40, 100001 (2016)

    Article  ADS  Google Scholar 

  45. P. Maris, C.D. Roberts, Phys. Rev. C 56, 3369 (1997)

    Article  ADS  Google Scholar 

  46. P. Maris, P.C. Tandy, Phys. Rev. C 62, 055204 (2000)

    Article  ADS  Google Scholar 

  47. C.J. Burden, M.A. Pichowsky, Few-Body Syst. 32, 119 (2002)

    Article  ADS  Google Scholar 

  48. P. Maris, P.C. Tandy, Nucl. Phys. B Proc. Suppl. 161, 136 (2006)

    Article  ADS  Google Scholar 

  49. P. Maris, AIP Conf. Proc. 892, 65 (2007)

    Article  ADS  Google Scholar 

  50. M.S. Bhagwat, A. Höll, A. Krassnigg, C.D. Roberts, S.V. Wright, Few-Body Syst. 40, 209 (2007)

    Article  ADS  Google Scholar 

  51. G. Eichmann, I.C. Cloët, R. Alkofer, A. Krassnigg, C.D. Roberts, Phys. Rev. C 79, 012202(R) (2009)

    Article  ADS  Google Scholar 

  52. M. Blank, A. Krassnigg, AIP Conf. Proc. 1343, 349 (2011)

    Article  ADS  Google Scholar 

  53. V. Mader, G. Eichmann, M. Blank, A. Krassnigg, Phys. Rev. D 84, 034012 (2011)

    Article  ADS  Google Scholar 

  54. C. Popovici, T. Hilger, M. Gomez-Rocha, A. Krassnigg, Few Body Syst. 56, 481 (2015)

    Article  ADS  Google Scholar 

  55. H. Sanchis-Alepuz, C.S. Fischer, Phys. Rev. D 90, 096001 (2014)

    Article  ADS  Google Scholar 

  56. G. Eichmann, C.S. Fischer, W. Heupel, Phys. Lett. B 753, 282 (2016)

    Article  ADS  Google Scholar 

  57. A. Krassnigg, Phys. Rev. D 80, 114010 (2009)

    Article  ADS  Google Scholar 

  58. M. Blank, A. Krassnigg, Phys. Rev. D 84, 096014 (2011)

    Article  ADS  Google Scholar 

  59. T. Hilger, C. Popovici, M. Gomez-Rocha, A. Krassnigg, Phys. Rev. D 91, 034013 (2015)

    Article  ADS  Google Scholar 

  60. T. Hilger, M. Gomez-Rocha, A. Krassnigg, Phys. Rev. D 91, 114004 (2015)

    Article  ADS  Google Scholar 

  61. T. Hilger, M. Gomez-Rocha, A. Krassnigg, arXiv:1508.07183 (2015)

  62. T. Hilger, A. Krassnigg, Eur. Phys. J. A 53, 142 (2017)

    Article  ADS  Google Scholar 

  63. T. Hilger, A. Krassnigg, EPJ Web of Conferences 137, 01010 (2017)

    Article  Google Scholar 

  64. B. Friman, C. Hohne, J. Knoll, S. Leupold, J. Randrup, R. Rapp, P. Senger, Lect. Notes Phys. 814, 1 (2011)

    Article  ADS  Google Scholar 

  65. R. Rapp et al., Lect. Notes Phys. 814, 335 (2011)

    Article  ADS  Google Scholar 

  66. A. Höll, A. Krassnigg, C.D. Roberts, arXiv:nucl-th/0311033 (2003)

  67. R. Williams, C.S. Fischer, M.R. Pennington, arXiv:0704.2296 [hep-ph] (2007)

  68. K.l. Wang, S.x. Qin, Y.x. Liu, L. Chang, C.D. Roberts, S.M. Schmidt, Phys. Rev. D 86, 114001 (2012)

    Article  ADS  Google Scholar 

  69. T. Hilger, Phys. Rev. D 93, 054020 (2016)

    Article  ADS  Google Scholar 

  70. J.C.R. Bloch, Numerical investigation of fermion mass generation in QED, PhD Thesis, University of Durham (1995), arXiv:hep-ph/0208074

  71. A. Krassnigg, PoS CONFINEMENT8, 075 (2008)

    Google Scholar 

  72. S.M. Dorkin, L.P. Kaptari, T. Hilger, B. Kämpfer, Phys. Rev. C 89, 034005 (2014)

    Article  ADS  Google Scholar 

  73. A. Krassnigg, M. Gomez-Rocha, T. Hilger, J. Phys. Conf. Ser. 742, 012032 (2016)

    Article  Google Scholar 

  74. P. Maris, P.C. Tandy, Phys. Rev. C 60, 055214 (1999)

    Article  ADS  Google Scholar 

  75. M. Blank, A. Krassnigg, A. Maas, Phys. Rev. D 83, 034020 (2011)

    Article  ADS  Google Scholar 

  76. R. Alkofer, P. Watson, H. Weigel, Phys. Rev. D 65, 094026 (2002)

    Article  ADS  Google Scholar 

  77. P. Jain, H.J. Munczek, Phys. Rev. D 48, 5403 (1993)

    Article  ADS  Google Scholar 

  78. H.J. Munczek, Phys. Rev. D 52, 4736 (1995)

    Article  ADS  Google Scholar 

  79. G. Eichmann, R. Alkofer, I.C. Cloët, A. Krassnigg, C.D. Roberts, Phys. Rev. C 77, 042202(R) (2008)

    Article  ADS  Google Scholar 

  80. A. Bender, W. Detmold, C.D. Roberts, A.W. Thomas, Phys. Rev. C 65, 065203 (2002)

    Article  ADS  Google Scholar 

  81. M.S. Bhagwat, A. Höll, A. Krassnigg, C.D. Roberts, P.C. Tandy, Phys. Rev. C 70, 035205 (2004)

    Article  ADS  Google Scholar 

  82. A. Höll, A. Krassnigg, C.D. Roberts, Nucl. Phys. Proc. Suppl. 141, 47 (2005)

    Article  ADS  Google Scholar 

  83. H.H. Matevosyan, A.W. Thomas, P.C. Tandy, Phys. Rev. C 75, 045201 (2007)

    Article  ADS  Google Scholar 

  84. H.H. Matevosyan, A.W. Thomas, P.C. Tandy, J. Phys. G 34, 2153 (2007)

    Article  ADS  Google Scholar 

  85. M. Gomez-Rocha, T. Hilger, A. Krassnigg, Few Body Syst. 56, 475 (2015)

    Article  ADS  Google Scholar 

  86. M. Gomez-Rocha, T. Hilger, A. Krassnigg, Phys. Rev. D 92, 054030 (2015)

    Article  ADS  Google Scholar 

  87. R. Jinno, T. Kitahara, G. Mishima, Phys. Rev. D 91, 076011 (2015)

    Article  ADS  Google Scholar 

  88. M. Gomez-Rocha, T. Hilger, A. Krassnigg, Phys. Rev. D 93, 074010 (2016)

    Article  ADS  Google Scholar 

  89. C.S. Fischer, R. Williams, Phys. Rev. Lett. 103, 122001 (2009)

    Article  ADS  Google Scholar 

  90. L. Chang, C.D. Roberts, Phys. Rev. Lett. 103, 081601 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  91. R. Williams, C.S. Fischer, W. Heupel, Phys. Rev. D 93, 034026 (2016)

    Article  ADS  Google Scholar 

  92. S.M. Dorkin, T. Hilger, L.P. Kaptari, B. Kämpfer, Few Body Syst. 49, 247 (2011)

    Article  ADS  Google Scholar 

  93. M. Blank, A. Krassnigg, Comput. Phys. Commun. 182, 1391 (2011)

    Article  ADS  Google Scholar 

  94. T.U. Hilger, Medium modifications of mesons, PhD Thesis, TU Dresden (2012)

  95. A. Krassnigg, M. Blank, Phys. Rev. D 83, 096006 (2011)

    Article  ADS  Google Scholar 

  96. C.S. Fischer, S. Kubrak, R. Williams, Eur. Phys. J. A 50, 126 (2014)

    Article  ADS  Google Scholar 

  97. A. Krassnigg, C.D. Roberts, Nucl. Phys. A 737, 7 (2004)

    Article  ADS  Google Scholar 

  98. M.S. Bhagwat, P. Maris, Phys. Rev. C 77, 025203 (2008)

    Article  ADS  Google Scholar 

  99. M. Blank, Properties of quarks and mesons in the Dyson-Schwinger/Bethe-Salpeter approach, PhD Thesis, University of Graz (2011), arXiv:1106.4843

  100. P. Maris, C.D. Roberts, P.C. Tandy, Phys. Lett. B 420, 267 (1998)

    Article  ADS  Google Scholar 

  101. A. Höll, A. Krassnigg, C.D. Roberts, Phys. Rev. C 70, 042203(R) (2004)

    Article  ADS  Google Scholar 

  102. C.D. Roberts, arXiv:1203.5341 (2012)

  103. S.X. Qin, L. Chang, Y.X. Liu, C.D. Roberts, D.J. Wilson, Phys. Rev. C 85, 035202 (2012)

    Article  ADS  Google Scholar 

  104. P. Maris, C.D. Roberts, S.M. Schmidt, P.C. Tandy, Phys. Rev. C 63, 025202 (2001)

    Article  ADS  Google Scholar 

  105. M.S. Bhagwat, A. Höll, A. Krassnigg, C.D. Roberts, Nucl. Phys. A 790, 10 (2007)

    Article  ADS  Google Scholar 

  106. I.C. Cloët, C.D. Roberts, Prog. Part. Nucl. Phys. 77, 1 (2014)

    Article  ADS  Google Scholar 

  107. T. Horn, C.D. Roberts, J. Phys. G 43, 073001 (2016)

    Article  ADS  Google Scholar 

  108. S.J. Brodsky, C.D. Roberts, R. Shrock, P.C. Tandy, Phys. Rev. C 82, 022201 (2010)

    Article  ADS  Google Scholar 

  109. L. Chang, C.D. Roberts, P.C. Tandy, Phys. Rev. C 85, 012201(R) (2012)

    Article  ADS  Google Scholar 

  110. S.J. Brodsky, C.D. Roberts, R. Shrock, P.C. Tandy, Phys. Rev. C 85, 065202 (2012)

    Article  ADS  Google Scholar 

  111. R. Williams, C.S. Fischer, M.R. Pennington, Phys. Lett. B 645, 167 (2007)

    Article  ADS  Google Scholar 

  112. R. Williams, C.S. Fischer, M.R. Pennington, Acta Phys. Pol. B 38, 2803 (2007)

    ADS  Google Scholar 

  113. C.S. Fischer, J. Luecker, C.A. Welzbacher, Phys. Rev. D 90, 034022 (2014)

    Article  ADS  Google Scholar 

  114. S.J. Brodsky, R. Shrock, Science 108, 45 (2011)

    Google Scholar 

  115. S.J. Brodsky, R. Shrock, Proc. Natl. Acad. Sci. 108, 45 (2011)

    Article  ADS  Google Scholar 

  116. M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, Nucl. Phys. B 147, 448 (1979)

    Article  ADS  Google Scholar 

  117. T. Buchheim, B. Kämpfer, T. Hilger, J. Phys. G 43, 055105 (2015)

    Article  ADS  Google Scholar 

  118. T. Buchheim, T. Hilger, B. Kämpfer, EPJ Web of Conferences 81, 05007 (2014)

    Article  Google Scholar 

  119. K. Morita, S.H. Lee, Phys. Rev. Lett. 100, 022301 (2008)

    Article  ADS  Google Scholar 

  120. T. Hilger, R. Schulze, B. Kämpfer, J. Phys. G 37, 094054 (2010)

    Article  ADS  Google Scholar 

  121. T. Hilger, B. Kämpfer, arXiv:0904.3491 (2009)

  122. T. Hilger, T. Buchheim, B. Kämpfer, S. Leupold, Prog. Part. Nucl. Phys. 67, 188 (2012)

    Article  ADS  Google Scholar 

  123. S. Zschocke, T. Hilger, B. Kämpfer, Eur. Phys. J. A 47, 151 (2011)

    Article  ADS  Google Scholar 

  124. T. Buchheim, T. Hilger, B. Kämpfer, J. Phys. Conf. Ser. 668, 012047 (2016)

    Article  Google Scholar 

  125. T. Buchheim, T. Hilger, B. Kämpfer, Phys. Rev. C 91, 015205 (2015)

    Article  ADS  Google Scholar 

  126. R. Thomas, T. Hilger, S. Zschocke, B. Kämpfer, AIP Conf. Proc. 892, 274 (2007)

    Article  ADS  Google Scholar 

  127. R. Thomas, T. Hilger, B. Kämpfer, Nucl. Phys. A 795, 19 (2007)

    Article  ADS  Google Scholar 

  128. R. Thomas, T. Hilger, B. Kämpfer, Prog. Part. Nucl. Phys. 61, 297 (2008)

    Article  ADS  Google Scholar 

  129. T. Hilger, R. Thomas, B. Kämpfer, S. Leupold, Phys. Lett. B 709, 200 (2012)

    Article  ADS  Google Scholar 

  130. D. Jarecke, P. Maris, P.C. Tandy, Phys. Rev. C 67, 035202 (2003)

    Article  ADS  Google Scholar 

  131. D. Horvatic, D. Klabucar, A.E. Radzhabov, Phys. Rev. D 76, 096009 (2007)

    Article  ADS  Google Scholar 

  132. A. Bashir, L. Chang, I.C. Cloët, B. El-Bennich, Y.X. Liu, C.D. Roberts, P.C. Tandy, Commun. Theor. Phys. 58, 79 (2012)

    Article  ADS  Google Scholar 

  133. C.S. Fischer, S. Kubrak, R. Williams, Eur. Phys. J. A 51, 10 (2015)

    Article  ADS  Google Scholar 

  134. E. Rojas, B. El-Bennich, J. de Melo, Phys. Rev. D 90, 074025 (2014)

    Article  ADS  Google Scholar 

  135. F.E. Serna, M.A. Brito, G. Krein, AIP Conf. Proc. 1701, 100018 (2016)

    Article  Google Scholar 

  136. B. El-Bennich, G. Krein, E. Rojas, F.E. Serna, Few Body Syst. 57, 955 (2016)

    Article  ADS  Google Scholar 

  137. A. Bender, C.D. Roberts, L. von Smekal, Phys. Lett. B 380, 7 (1996)

    Article  ADS  Google Scholar 

  138. A. Höll, A. Krassnigg, P. Maris, C.D. Roberts, S.V. Wright, Phys. Rev. C 71, 065204 (2005)

    Article  ADS  Google Scholar 

  139. C.H.L. Smith, Nuovo Cimento A 60, 348 (1969)

    Article  ADS  Google Scholar 

  140. G. Eichmann, Few Body Syst. 58, 81 (2017)

    Article  ADS  Google Scholar 

  141. F. Gross, Phys. Rev. C 26, 2203 (1982)

    Article  ADS  MathSciNet  Google Scholar 

  142. F. Gross, Relativistic Quantum Mechanics and Field Theory (John Wiley & Sons, New York, 1993)

  143. M.I. Eides, H. Grotch, V.A. Shelyuto, Phys. Rep. 342, 63 (2001)

    Article  ADS  Google Scholar 

  144. W.A. Mian, A. Maas, EPJ Web of Conferences 137, 05015 (2017)

    Article  Google Scholar 

  145. G. Eichmann, Hadron properties from QCD bound-state equations, PhD Thesis, University of Graz (2009), arXiv:0909.0703

  146. A. Windisch, Phys. Rev. C 95, 045204 (2017)

    Article  ADS  Google Scholar 

  147. S. Dorkin, L. Kaptari, B. Kämpfer, Phys. Rev. C 91, 055201 (2015)

    Article  ADS  Google Scholar 

  148. N. Souchlas, J. Phys. G 37, 115001 (2010)

    Article  ADS  Google Scholar 

  149. D. Knoll, D. Keyes, J. Comput. Phys. 193, 357 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  150. D.J. Wales, J.P.K. Doye, J. Phys. Chem. A 101, 5111 (1997)

    Article  Google Scholar 

  151. C.S. Fischer, P. Watson, W. Cassing, Phys. Rev. D 72, 094025 (2005)

    Article  ADS  Google Scholar 

  152. P. Maris, private communication

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Hilger, T., Gómez-Rocha, M., Krassnigg, A. et al. Aspects of open-flavour mesons in a comprehensive DSBSE study. Eur. Phys. J. A 53, 213 (2017). https://doi.org/10.1140/epja/i2017-12384-4

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