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Octet and decuplet baryon self-energies in relativistic SU(3) chiral effective theory

P. M. Copeland1, Chueng-Ryong Ji2, and W. Melnitchouk3

  • 1Department of Physics and Astronomy, Clemson University, Clemson, South Carolina 29634, USA
  • 2Department of Physics, North Carolina State University, Raleigh, North Carolina 27695, USA
  • 3Jefferson Lab, Newport News, Virginia 23606, USA

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Phys. Rev. D 103, 094019 – Published 17 May, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.094019

Abstract

The self-energies of the full set of flavor SU(3) octet and decuplet baryons are computed within a relativistic chiral effective theory framework. The leading nonanalytic chiral behavior is derived for the octet and decuplet masses, and a finite-range regularization consistent with Lorentz and gauge invariance is applied to account for the finite size of the baryons. Using a four-dimensional dipole form factor, the relative importance of various meson-baryon loop contributions to the self-energies is studied numerically as a function of the dipole range parameter and meson mass, and a comparison is made between the relativistic results and earlier approximations within the heavy baryon limit.

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References (59)

  1. T. E. O. Ericson and W. Weise, Pions and Nuclei, International Series of Monographs on Physics Vol. 74 (Clarendon Press, Oxford, UK, 1988).
  2. A. W. Thomas, Adv. Nucl. Phys. 13, 1 (1984).
  3. R. D. Young, D. B. Leinweber, and A. W. Thomas, Prog. Part. Nucl. Phys. 50, 399 (2003).
  4. S. Aoki et al., Phys. Rev. D 79, 034503 (2009).
  5. W. Bietenholz et al., Phys. Rev. D 84, 054509 (2011).
  6. S. Durr et al., Science 322, 1224 (2008).
  7. C. Alexandrou and C. Kallidonis, Phys. Rev. D 96, 034511 (2017).
  8. L. F. Li and H. Pagels, Phys. Rev. Lett. 26, 1204 (1971).
  9. A. W. Thomas and G. Krein, Phys. Lett. B 456, 5 (1999).
  10. A. W. Thomas, Nucl. Phys. B, Proc. Suppl. 119, 50 (2003).
  11. J. Gasser, M. E. Sainio, and A. Svarc, Nucl. Phys. B307, 779 (1988).
  12. T. Becher and H. Leutwyler, Eur. Phys. J. C 9, 643 (1999).
  13. J. Gegelia, G. Japaridze, and X. Q. Wang, J. Phys. G 29, 2303 (2003).
  14. T. Fuchs, J. Gegelia, G. Japaridze, and S. Scherer, Phys. Rev. D 68, 056005 (2003).
  15. V. Pascalutsa and M. Vanderhaeghen, Phys. Lett. B 636, 31 (2006).
  16. J. F. Donoghue, B. R. Holstein, and B. Borasoy, Phys. Rev. D 59, 036002 (1999).
  17. D. B. Leinweber, A. W. Thomas, K. Tsushima, and S. V. Wright, Phys. Rev. D 61, 074502 (2000).
  18. E. E. Jenkins, Nucl. Phys. B368, 190 (1992).
  19. S. Theberge, A. W. Thomas, and G. A. Miller, Phys. Rev. D 22, 2838 (1980).
  20. R. D. Young and A. W. Thomas, Phys. Rev. D 81, 014503 (2010).
  21. P. E. Shanahan, A. W. Thomas, and R. D. Young, Phys. Rev. Lett. 107, 092004 (2011).
  22. P. E. Shanahan, A. W. Thomas, and R. D. Young, Phys. Rev. D 87, 074503 (2013).
  23. M. K. Banerjee and J. Milana, Phys. Rev. D 52, 6451 (1995).
  24. J. M. Camalich, L. S. Geng, and M. J. Vicente Vacas, Phys. Rev. D 82, 074504 (2010).
  25. X.-L. Ren, L. S. Geng, and J. Meng, Phys. Rev. D 89, 054034 (2014).
  26. H. Ghaderi, arXiv:1805.06490.
  27. X. G. Wang, C.-R. Ji, W. Melnitchouk, Y. Salamu, A. W. Thomas, and P. Wang, Phys. Lett. B 762, 52 (2016).
  28. X. G. Wang, C.-R. Ji, W. Melnitchouk, Y. Salamu, A. W. Thomas, and P. Wang, Phys. Rev. D 94, 094035 (2016).
  29. Y. Salamu, C.-R. Ji, W. Melnitchouk, A. W. Thomas, and P. Wang, Phys. Rev. D 99, 014041 (2019).
  30. Y. Salamu, C.-R. Ji, W. Melnitchouk, A. W. Thomas, P. Wang, and X. G. Wang, Phys. Rev. D 100, 094026 (2019).
  31. X. G. Wang, C.-R. Ji, W. Melnitchouk, Y. Salamu, A. W. Thomas, and P. Wang, Phys. Rev. D 102, 116020 (2020).
  32. Y. Salamu, C.-R. Ji, W. Melnitchouk, and P. Wang, Phys. Rev. Lett. 114, 122001 (2015).
  33. M. Burkardt, K. S. Hendricks, C. R. Ji, W. Melnitchouk, and A. W. Thomas, Phys. Rev. D 87, 056009 (2013).
  34. C.-R. Ji, W. Melnitchouk, and A. W. Thomas, Phys. Rev. D 80, 054018 (2009).
  35. M. Alberg and G. A. Miller, Phys. Rev. Lett. 108, 172001 (2012).
  36. C.-R. Ji, W. Melnitchouk, and A. W. Thomas, Phys. Rev. Lett. 110, 179101 (2013).
  37. M. B. Hecht, M. Oettel, C. D. Roberts, S. M. Schmidt, P. C. Tandy, and A. W. Thomas, Phys. Rev. C 65, 055204 (2002).
  38. M. Oettel and A. W. Thomas, Phys. Rev. C 66, 065207 (2002).
  39. F. He and P. Wang, Phys. Rev. D 97, 036007 (2018).
  40. F. He and P. Wang, Phys. Rev. D 98, 036007 (2018).
  41. F. He and P. Wang, Phys. Rev. D 100, 074032 (2019).
  42. V. Bernard, N. Kaiser, and U. G. Meissner, Z. Phys. C 60, 111 (1993).
  43. T. Ledwig, J. Martin Camalich, L. S. Geng, and L. S. Vicente Vacas, Phys. Rev. D 90, 054502 (2014).
  44. V. Bernard, N. Kaiser, and U. G. Meissner, Int. J. Mod. Phys. E 04, 193 (1995).
  45. S. Scherer and M. R. Schindler, Lect. Notes Phys. 830, 1 (2012).
  46. H. Forkel, M. Nielsen, X. Jin, and T. D. Cohen, Phys. Rev. C 50, 3108 (1994).
  47. M. J. Musolf and M. Burkardt, Z. Phys. C 61, 433 (1994).
  48. W. Melnitchouk, A. W. Thomas, and A. I. Signal, Z. Phys. A 340, 85 (1991).
  49. M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2195 (1968).
  50. J. M. Olness, Phys. Rev. D 47, 2136 (1993).
  51. J. Bijnens, H. Sonoda, and M. B. Wise, Phys. Lett. 140B, 421 (1984).
  52. T. P. Cheng and L. F. Li, Phys. Rev. D 57, 344 (1998).
  53. A. Walker-Loud, Nucl. Phys. A747, 476 (2005).
  54. E. Jenkins and A. V. Manohar, Phys. Lett. B 259, 353 (1991).
  55. A. W. Thomas and S. V. Wright, arXiv:nucl-th/9808008.
  56. P. M. Copeland, C.-R. Ji, and W. Melnitchouk (to be published).
  57. J. J. Ethier, W. Melnitchouk, F. Steffens, and A. W. Thomas, Phys. Rev. D 100, 034014 (2019).
  58. Y. Chai et al., Phys. Rev. D 102, 014508 (2020).
  59. C.-R. Ji, W. Melnitchouk, and A. W. Thomas, Phys. Rev. D 88, 076005 (2013).

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Phys. Rev. D 103, 094019– Published 17 May, 2021
  • Received 22 December 2020
  • Accepted 24 February 2021
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