Advertisement

Scattering of charmed baryons on nucleons

  • J. HaidenbauerEmail author
  • G. Krein
Regular Article - Theoretical Physics

Abstract.

Chiral effective field theory is utilized for extrapolating results on the \(\Lambda_{c} N\) interaction, obtained in lattice QCD at unphysical (large) quark masses, to the physical point. The pion-mass dependence of the components that constitute the \(\Lambda_{c} N\) potential up to next-to-leading order (pion-exchange diagrams and four-baryon contact terms) is fixed by information from lattice QCD simulations. No recourse to SU(3) or SU(4) flavor symmetry is made. It is found that the results of the HAL QCD Collaboration for quark masses corresponding to \(m_{\pi} =\) 410 - 570 MeV imply a moderately attractive \(\Lambda_{c} N\) interaction at \(m_{\pi} = 138\) MeV with scattering lengths of \( a\approx -1\) fm for the 1S0 as well as the 3S1 partial waves. For such an interaction the existence of a charmed counterpart of the hypertriton seems unlikely but four- and/or five-baryons systems with a \(\Lambda_{c}\) baryon could be indeed bound.

References

  1. 1.
    F.-K. Guo, C. Hanhart, U.-G. Meißner, Q. Wang, Q. Zhao, B.-S. Zou, Rev. Mod. Phys. 90, 015004 (2018)ADSCrossRefGoogle Scholar
  2. 2.
    R.F. Lebed, R.E. Mitchell, E.S. Swanson, Prog. Part. Nucl. Phys. 93, 143 (2017)ADSCrossRefGoogle Scholar
  3. 3.
    H.-X. Chen, W. Chen, X. Liu, Y.-R. Liu, S.-L. Zhu, Rep. Prog. Phys. 80, 076201 (2017)ADSCrossRefGoogle Scholar
  4. 4.
    A. Esposito, A. Pilloni, A.D. Polosa, Phys. Rep. 668, 1 (2016)ADSCrossRefGoogle Scholar
  5. 5.
  6. 6.
    B. Friman, C. Hohne, J. Knoll, S. Leupold, J. Randrup, R. Rapp, P. Senger, Lect. Notes Phys. 814, 1 (2011)ADSCrossRefGoogle Scholar
  7. 7.
    U. Wiedner, Prog. Part. Nucl. Phys. 66, 477 (2011)ADSCrossRefGoogle Scholar
  8. 8.
    Y.R. Liu, M. Oka, Phys. Rev. D 85, 014015 (2012)ADSCrossRefGoogle Scholar
  9. 9.
    H. Huang, J. Ping, F. Wang, Phys. Rev. C 87, 034002 (2013)ADSCrossRefGoogle Scholar
  10. 10.
    A. Gal, H. Garcilazo, A. Valcarce, T. Fernández-Caramés, Phys. Rev. D 90, 014019 (2014)ADSCrossRefGoogle Scholar
  11. 11.
    H. Garcilazo, A. Valcarce, T.F. Caramés, Phys. Rev. C 92, 024006 (2015)ADSCrossRefGoogle Scholar
  12. 12.
    S. Maeda, M. Oka, A. Yokota, E. Hiyama, Y.R. Liu, Prog. Theor. Exp. Phys. 2016, 023D02 (2016)CrossRefGoogle Scholar
  13. 13.
    R. Shyam, K. Tsushima, Phys. Lett. B 770, 236 (2017)ADSCrossRefGoogle Scholar
  14. 14.
    K. Ohtani, K.J. Araki, M. Oka, Phys. Rev. C 96, 055208 (2017)ADSCrossRefGoogle Scholar
  15. 15.
    C.B. Dover, S.H. Kahana, Phys. Rev. Lett. 39, 1506 (1977)ADSCrossRefGoogle Scholar
  16. 16.
    H. Bando, M. Bando, Phys. Lett. B 109, 164 (1982)ADSCrossRefGoogle Scholar
  17. 17.
    H. Bando, S. Nagata, Prog. Theor. Phys. 69, 557 (1983)ADSCrossRefGoogle Scholar
  18. 18.
    B.F. Gibson, G. Bhamathi, C.B. Dover, D.R. Lehman, Phys. Rev. C 27, 2085 (1983)ADSCrossRefGoogle Scholar
  19. 19.
    S.A. Bunyatov, V.V. Lyukov, N.I. Starkov, V.A. Isarev, Sov. J. Part. Nucl. 23, 253 (1992)Google Scholar
  20. 20.
    K. Tsushima, F.C. Khanna, Phys. Rev. C 67, 015211 (2003)ADSCrossRefGoogle Scholar
  21. 21.
    K. Tsushima, F.C. Khanna, J. Phys. G 30, 1765 (2004)ADSCrossRefGoogle Scholar
  22. 22.
    V.B. Kopeliovich, A.M. Shunderuk, Eur. Phys. J. A 33, 277 (2007)ADSCrossRefGoogle Scholar
  23. 23.
    A. Hosaka, T. Hyodo, K. Sudoh, Y. Yamaguchi, S. Yasui, Prog. Part. Nucl. Phys. 96, 88 (2017)ADSCrossRefGoogle Scholar
  24. 24.
    G. Krein, A.W. Thomas, K. Tsushima, Prog. Part. Nucl. Phys. 100, 161 (2018)ADSCrossRefGoogle Scholar
  25. 25.
    F. Frömel, B. Juliá-Díaz, D.O. Riska, Nucl. Phys. A 750, 337 (2005)ADSCrossRefGoogle Scholar
  26. 26.
    HAL QCD Collaboration (T. Miyamoto), PoS LATTICE 2015, 090 (2016)Google Scholar
  27. 27.
    HAL QCD Collaboration (T. Miyamoto), PoS LATTICE 2016, 117 (2017)Google Scholar
  28. 28.
    T. Miyamoto et al., Nucl. Phys. A 971, 113 (2018)ADSCrossRefGoogle Scholar
  29. 29.
    S. Aoki, T. Doi, T. Iritani, EPJ Web of Conferences 175, 05006 (2018)CrossRefGoogle Scholar
  30. 30.
    T. Yamazaki, Y. Kuramashi, Phys. Rev. D 96, 114511 (2017)ADSCrossRefGoogle Scholar
  31. 31.
    Z. Davoudi, EPJ Web of Conferences 175, 01022 (2018)CrossRefGoogle Scholar
  32. 32.
    S. Aoki, T. Doi, T. Hatsuda, N. Ishii, arXiv:1711.09344 [hep-lat]Google Scholar
  33. 33.
    E. Epelbaum, Prog. Part. Nucl. Phys. 57, 654 (2006)ADSCrossRefGoogle Scholar
  34. 34.
    E. Epelbaum, H.W. Hammer, U.-G. Meißner, Rev. Mod. Phys. 81, 1773 (2009)ADSCrossRefGoogle Scholar
  35. 35.
    R. Machleidt, D.R. Entem, Phys. Rep. 503, 1 (2011)ADSCrossRefGoogle Scholar
  36. 36.
    J. Haidenbauer, U.-G. Meißner, Phys. Lett. B 706, 100 (2011)ADSCrossRefGoogle Scholar
  37. 37.
    J. Haidenbauer, U.-G. Meißner, Nucl. Phys. A 881, 44 (2012)ADSCrossRefGoogle Scholar
  38. 38.
    J. Haidenbauer, S. Petschauer, N. Kaiser, U.-G. Meißner, W. Weise, Eur. Phys. J. C 77, 760 (2017)ADSCrossRefGoogle Scholar
  39. 39.
    H. Polinder, J. Haidenbauer, U.-G. Meißner, Nucl. Phys. A 779, 244 (2006)ADSCrossRefGoogle Scholar
  40. 40.
    J. Haidenbauer, S. Petschauer, N. Kaiser, U.-G. Meißner, A. Nogga, W. Weise, Nucl. Phys. A 915, 24 (2013)ADSCrossRefGoogle Scholar
  41. 41.
    S.R. Beane, M.J. Savage, Nucl. Phys. A 713, 148 (2003)ADSCrossRefGoogle Scholar
  42. 42.
    S.R. Beane, M.J. Savage, Nucl. Phys. A 717, 91 (2003)ADSCrossRefGoogle Scholar
  43. 43.
    E. Epelbaum, U.-G. Meißner, W. Glöckle, Nucl. Phys. A 714, 535 (2002)ADSCrossRefGoogle Scholar
  44. 44.
    E. Epelbaum, U.-G. Meißner, W. Glöckle, arXiv:nucl-th/0208040. Google Scholar
  45. 45.
    V. Baru, E. Epelbaum, A.A. Filin, J. Gegelia, Phys. Rev. C 92, 014001 (2015)ADSCrossRefGoogle Scholar
  46. 46.
    V. Baru, E. Epelbaum, A.A. Filin, Phys. Rev. C 94, 014001 (2016)ADSCrossRefGoogle Scholar
  47. 47.
    S. Petschauer, N. Kaiser, Nucl. Phys. A 916, 1 (2013)ADSCrossRefGoogle Scholar
  48. 48.
    C. Albertus, E. Hernandez, J. Nieves, J.M. Verde-Velasco, Phys. Rev. D 72, 094022 (2005)ADSCrossRefGoogle Scholar
  49. 49.
    K.U. Can, G. Erkol, M. Oka, T.T. Takahashi, Phys. Lett. B 768, 309 (2017)ADSCrossRefGoogle Scholar
  50. 50.
    C. Alexandrou, K. Hadjiyiannakou, C. Kallidonis, Phys. Rev. D 94, 034502 (2016)ADSCrossRefGoogle Scholar
  51. 51.
    Budapest-Marseille-Wuppertal Collaboration (S. Dürr et al.), Phys. Rev. D 90, 114504 (2014)ADSCrossRefGoogle Scholar
  52. 52.
    Particle Data Group (C. Patrignani et al.), Chin. Phys. C 40, 100001 (2016)ADSCrossRefGoogle Scholar
  53. 53.
    S.R. Beane, P.F. Bedaque, A. Parreño, M.J. Savage, Nucl. Phys. A 747, 55 (2005)ADSCrossRefGoogle Scholar
  54. 54.
    J.-X. Lu, L.-S. Geng, M. Pavón Valderrama, arXiv:1706.02588 [hep-ph]Google Scholar
  55. 55.
    G.P. Lepage, arXiv:nucl-th/9706029Google Scholar
  56. 56.
    E. Epelbaum, W. Glöckle, U.-G. Meißner, Nucl. Phys. A 747, 362 (2005)ADSCrossRefGoogle Scholar
  57. 57.
    A. Nogga, R.G.E. Timmermans, U. van Kolck, Phys. Rev. C 72, 054006 (2005)ADSCrossRefGoogle Scholar
  58. 58.
    E. Marji, A. Canul, Q. MacPherson, R. Winzer, C. Zeoli, D.R. Entem, R. Machleidt, Phys. Rev. C 88, 054002 (2013)ADSCrossRefGoogle Scholar
  59. 59.
    D.R. Phillips, PoS CD 12, 013 (2013)Google Scholar
  60. 60.
    E. Epelbaum, H. Krebs, U.-G. Meißner, Eur. Phys. J. A 51, 53 (2015)ADSCrossRefGoogle Scholar
  61. 61.
    E. Epelbaum, J. Gegelia, U.-G. Meißner, Nucl. Phys. B 925, 161 (2017)ADSCrossRefGoogle Scholar
  62. 62.
    J.C. Berengut, E. Epelbaum, V.V. Flambaum, C. Hanhart, U.-G. Meißner, J. Nebreda, J.R. Pelaez, Phys. Rev. D 87, 085018 (2013)ADSCrossRefGoogle Scholar
  63. 63.
    A. Nogga, H. Kamada, W. Glöckle, Phys. Rev. Lett. 88, 172501 (2002)ADSCrossRefGoogle Scholar
  64. 64.
    J. Haidenbauer, U.-G. Meißner, A. Nogga, H. Polinder, Lect. Notes Phys. 724, 113 (2007)ADSCrossRefGoogle Scholar
  65. 65.
    A. Nogga, Nucl. Phys. A 914, 140 (2013)ADSCrossRefGoogle Scholar
  66. 66.
    B.F. Gibson, I.R. Afnan, J.A. Carlson, D.R. Lehman, Prog. Theor. Phys. Suppl. 117, 339 (1994)ADSCrossRefGoogle Scholar
  67. 67.
    K. Miyagawa, H. Kamada, W. Glöckle, V. Stoks, Phys. Rev. C 51, 2905 (1995)ADSCrossRefGoogle Scholar

Copyright information

© SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Institute for Advanced Simulation, Institut für Kernphysik, and Jülich Center for Hadron Physics, Forschungszentrum JülichJülichGermany
  2. 2.Instituto de Fısica TeóricaUniversidade Estadual PaulistaSão PauloBrazil

Personalised recommendations