Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Baryon octet and decuplet phenomenology in a three-flavor extended linear sigma model

P. Kovács*, Á. Lukács, J. Váróczy, Gy. Wolf§, and M. Zétényi

  • Institute for Particle and Nuclear Physics, Wigner Research Center for Physics, Hungarian Academy of Sciences, H-1525 Budapest, Hungary

  • *kovacs.peter@wigner.mta.hu
  • lukacs.arpad@wigner.mta.hu
  • jannoczy@gmail.com
  • §wolf.gyorgy@wigner.mta.hu
  • zetenyi.miklos@wigner.mta.hu

Phys. Rev. D 89, 054004 – Published 5 March, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.054004

Abstract

We present an effective model, which is an extension of the usual linear sigma model, that contains a low energy multiplet for every hadronic particle type. These multiplets are a scalar nonet, a pseudoscalar nonet, a vector nonet, an axial-vector nonet, a baryon octet and a baryon decuplet. Tree-level baryon masses and possible two-body decuplet decays are calculated. The baryon masses are generated through spontaneous symmetry breaking. The calculated quantities are used to determine the model parameters through a multiparametric minimalization process, which compares the calculated physical quantities with their experimental values. We found that the calculated quantities are in good agreement with the experimental data.

Article Text

References (43)

  1. R. D. Pisarski and F. Wilczek, Phys. Rev. D 29, 338 (1984).
  2. J. T. Lenaghan, D. H. Rischke, and J. Schaffner-Bielich, Phys. Rev. D 62, 085008 (2000).
  3. F. Karsch, C. R. Allton, S. Ejiri, S. J. Hands, O. Kaczmarek, E. Laermann, and C. Schmidt, Nucl. Phys. B, Proc. Suppl. 129, 614 (2004).
  4. B.-J. Schaefer and J. Wambach, Nucl. Phys. A757, 479 (2005).
  5. A. Barducci, R. Casalbuoni, G. Pettini, and L. Ravagli, Phys. Rev. D 72, 056002 (2005).
  6. N. G. Antoniou, F. K. Diakonos, and A. S. Kapoyannis, Nucl. Phys. A759, 417 (2005).
  7. Y. Aoki, Z. Fodor, S. D. Katz, and K. K. Szabo, Phys. Lett. B 643, 46 (2006).
  8. P. de Forcrand and O. Philipsen, J. High Energy Phys. 01 (2007) 077.
  9. P. Kovacs and Z. Szep, Phys. Rev. D 75, 025015 (2007); 77, 065016 (2008).
  10. S. Struber and D. H. Rischke, Phys. Rev. D 77, 085004 (2008).
  11. K. Homma (PHENIX Collaboration), Proc. Sci., CPOD07 (2007) 053.
  12. V. Toneev, Proc. Sci., CPOD07 (2007) 057 [arXiv:0709.1459].
  13. V. Friese, Phys. At. Nucl. 75, 585 (2012).
  14. G. L. Melkumov et al. (NA49 Collaboration), Phys. At. Nucl. 75, 556 (2012); M. Rybczynski et al. (NA49 Collaboration), Proc. Sci., ICHEP2012 (2013) 422.
  15. G. Odyniec, J. Phys. Conf. Ser. 455, 012037 (2013).
  16. S. Gasiorowicz and D. A. Geffen, Rev. Mod. Phys. 41, 531 (1969).
  17. G. ’t Hooft, Phys. Rep. 142, 357 (1986).
  18. C. Vafa and E. Witten, Nucl. Phys. B234, 173 (1984); L. Giusti and S. Necco, J. High Energy Phys. 04 (2007) 090.
  19. J. S. Schwinger, Phys. Lett. 24B, 473 (1967); S. Weinberg, Phys. Rev. 166, 1568 (1968).
  20. J. S. Schwinger, Ann. Phys. (N.Y.) 2, 407 (1957); M. Gell-Mann and M. Levy, Nuovo Cimento 16, 705 (1960); S. Weinberg, Phys. Rev. Lett. 18, 188 (1967).
  21. D. Parganlija, P. Kovacs, G. Wolf, F. Giacosa, and D. H. Rischke, Phys. Rev. D 87, 014011 (2013).
  22. Y. M. P. Lam and Y. Y. Lee, Phys. Rev. D 2, 2976 (1970).
  23. M. Chemtob, Nucl. Phys. A466, 509 (1987).
  24. D. Pirjol and T.-M. Yan, Phys. Rev. D 57, 5434 (1998).
  25. C. S. Kalman and I. D’Souza, Nucl. Phys. B, Proc. Suppl. 75, 3 (1999).
  26. P.-F. Zhuang, Commun. Theor. Phys. 32, 395 (1999).
  27. T. Hyodo and A. Hosaka, Phys. Rev. D 71, 054017 (2005).
  28. D. O. Riska, Int. J. Mod. Phys. A 20, 1785 (2005).
  29. X.-H. Guo, K.-W. Wei, and X.-H. Wu, Phys. Rev. D 78, 056005 (2008).
  30. E. J. Gonzalez de Urreta and N. N. Scoccola, AIP Conf. Proc. 1296, 201 (2010).
  31. S. Gallas, F. Giacosa, and D. H. Rischke, Phys. Rev. D 82, 014004 (2010).
  32. P. Dittner, Commun. Math. Phys. 22, 238 (1971).
  33. A. Semke, Ph.D. thesis, TU Darmstadt, 2010 [http://tuprints.ulb.tu-darmstadt.de/2360/].
  34. J. Beringer et al. (Particle Data Group), Phys. Rev. D 86, 010001 (2012).
  35. P. Kovacs and Z. Szep, Phys. Rev. D 75, 025015 (2007).
  36. F. James and M. Roos, Comput. Phys. Commun. 10, 343 (1975).
  37. D. Black, A. H. Fariborz, F. Sannino, and J. Schechter, Phys. Rev. D 59, 074026 (1999); D. Black, A. H. Fariborz, and J. Schechter, ibid. 61, 074001 (2000); A. H. Fariborz, R. Jora, and J. Schechter, ibid. 72, 034001 (2005); 76, 014011 (2007); 77, 034006 (2008); 79, 074014 (2009); A. H. Fariborz, R. Jora, J. Schechter, and M. N. Shahid, ibid. 83, 034018 (2011); 84, 113004 (2011); T. K. Mukherjee, M. Huang, and Q.-S. Yan, ibid. 86, 114022 (2012).
  38. S. R. Coleman, J. Wess, and B. Zumino, Phys. Rev. 177, 2239 (1969); C. G. Callan Jr., S. R. Coleman, J. Wess, and B. Zumino, ibid. 177, 2247 (1969).
  39. J. Gasser and H. Leutwyler, Ann. Phys. (N.Y.) 158, 142 (1984); see also S. Scherer, Adv. Nucl. Phys. 27, 277 (2003), and references therein.
  40. M. Bando, T. Kugo, and K. Yamawaki, Phys. Rep. 164, 217 (1988); G. Ecker, J. Gasser, A. Pich, and E. de Rafael, Nucl. Phys. B321, 311 (1989); G. Ecker, J. Gasser, H. Leutwyler, A. Pich, and E. de Rafael, Phys. Lett. B 223, 425 (1989); A. Krause, Helv. Phys. Acta 63, 3 (1990); E. E. Jenkins, A. V. Manohar, and M. B. Wise, Phys. Rev. Lett. 75, 2272 (1995); C. Terschlusen and S. Leupold, Prog. Part. Nucl. Phys. 67, 401 (2012).
  41. B. Borasoy and U. G. Meissner, Ann. Phys. (N.Y.) 254, 192 (1997); T. Becher and H. Leutwyler, Eur. Phys. J. C 9, 643 (1999); J. A. Oller, M. Verbeni, and J. Prades, J. High Energy Phys. 09 (2006) 079.
  42. M. E. Peskin and D. V. Schroeder, An Introduction To Quantum Field Theory (Addison-Wesley, Reading, USA, 1995), p.842, ISBN:[Amazon][WorldCat].
  43. R. Shyam and U. Mosel, Phys. Rev. C 67, 065202 (2003); L. P. Kaptari and B. Kämpfer, Nucl. Phys. A764, 338 (2006); C. Fernández-Ramírez, E. Moya de Guerra, and J. M. Udías, Ann. Phys. (Amsterdam) 321, 1408 (2006); M. Zétényi and Gy. Wolf, Phys. Rev. C 86, 065209 (2012).

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation