Research PapersNo Access

Instantaneous Bethe–Salpeter view of Goldstone-type pseudoscalar mesons

Wolfgang Lucha

Institute for High Energy Physics, Austrian Academy of Sciences, Nikolsdorfergasse 18, A-1050 Vienna, Austria

E-mail Address: wolfgang.lucha@oeaw.ac.at

Search for more papers by this author

and

Franz F. Schöberl

Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria

E-mail Address: franz.schoeberl@univie.ac.at

Search for more papers by this author

https://doi.org/10.1142/S0217751X1650202XCited by:2 (Source: Crossref)

Abstract

Describing the lightest pseudoscalar mesons as bound states of quark and antiquark within the framework of an instantaneous Bethe–Salpeter formalism constructed such as to retain (in contrast to Salpeter’s equation) as much information on the relativistic effects provided by the full quark propagator as conceivable allows for a surprisingly simple implementation of their near masslessness mandatory for their interpretability as pseudo-Goldstone bosons related to the spontaneous breaking of the chiral symmetries of quantum chromodynamics.

Keywords:

PACS: 11.10.St, 03.65.Ge, 03.65.Pm

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

1. H. A. Bethe and E. E. Salpeter, Phys. Rev. 82, 309 (1951). Google Scholar
2. M. Gell-Mann and F. Low, Phys. Rev. 84, 350 (1951). Crossref, Web of Science, ADS, Google Scholar
3. E. E. Salpeter and H. A. Bethe, Phys. Rev. 84, 1232 (1951). Crossref, Web of Science, ADS, Google Scholar
4. W. Lucha and F. F. Schöberl, J. Phys. G: Nucl. Part. Phys. 31, 1133 (2005), arXiv:hep-th/0507281. Crossref, Web of Science, Google Scholar
5. E. E. Salpeter, Phys. Rev. 87, 328 (1952). Crossref, Web of Science, ADS, Google Scholar
6. W. Lucha and F. F. Schöberl, Phys. Rev. D 87, 016009 (2013), arXiv:1211.4716 [hep-ph]. Crossref, Web of Science, ADS, Google Scholar
7. W. Lucha, PoS EPS-HEP 2013, 007 (2013), arXiv:1308.3130 [hep-ph]. Google Scholar
8. W. Lucha and F. F. Schöberl, Phys. Rev. D 92, 076005 (2015), arXiv:1508.02951 [hep-ph]. Crossref, Web of Science, ADS, Google Scholar
9. W. Lucha and F. F. Schöberl, Phys. Rev. D 93, 056006 (2016), arXiv:1602.02356 [hep-ph]. Crossref, Web of Science, ADS, Google Scholar
10. W. Lucha and F. F. Schöberl, Phys. Rev. D 93, 096005 (2016), arXiv:1603.08745 [hep-ph]. Crossref, Web of Science, ADS, Google Scholar
11. W. Lucha and F. F. Schöberl, Int. J. Mod. Phys. A 07, 6431 (1992). Link, Web of Science, ADS, Google Scholar
12. W. Lucha, F. F. Schöberl and D. Gromes, Phys. Rep. 200, 127 (1991). Crossref, Web of Science, ADS, Google Scholar
13. Z.-F. Li, W. Lucha and F. F. Schöberl, Mod. Phys. Lett. A 21, 1657 (2006), arXiv:hep-ph/0510372. Link, Web of Science, ADS, Google Scholar
14. W. Lucha and F. F. Schöberl, Quark Confinement and the Hadron Spectrum VII: 7th Conference on Quark Confinement and the Hadron Spectrum — QCHS7, ed. J. E. F. T. Ribeiro, AIP Conf. Proc., Vol. 892 (AIP, Melville, New York, 2007), p. 524, arXiv:hep-ph/0610016. Google Scholar
15. W. Lucha, K. Maung Maung and F. F. Schöberl, Phys. Rev. D 63, 056002 (2001), arXiv:hep-ph/0009185. Crossref, Web of Science, ADS, Google Scholar
16. W. Lucha, K. Maung Maung and F. F. Schöberl, Proc. Int. Conf. on Quark Confinement and the Hadron Spectrum IV, eds. W. Lucha and K. Maung Maung (World Scientific, Singapore, 2002), p. 340, arXiv:hep-ph/0010078. Google Scholar
17. W. Lucha, K. Maung Maung and F. F. Schöberl, Phys. Rev. D 64, 036007 (2001), arXiv:hep-ph/0011235. Crossref, Web of Science, ADS, Google Scholar
18. W. Lucha and F. F. Schöberl, Int. J. Mod. Phys. A 17, 2233 (2002), arXiv:hep-ph/0109165. Link, Web of Science, ADS, Google Scholar
19. J.-F. Lagaë, Phys. Rev. D 45, 305 (1992). Crossref, Web of Science, ADS, Google Scholar
20. M. G. Olsson, S. Veseli and K. Williams, Phys. Rev. D 52, 5141 (1995), arXiv:hep-ph/9503477. Crossref, Web of Science, ADS, Google Scholar
21. P. Maris, C. D. Roberts and P. C. Tandy, Phys. Lett. B 420, 267 (1998), arXiv:nucl-th/9707003. Crossref, Web of Science, ADS, Google Scholar
22. P. Maris and P. C. Tandy, Phys. Rev. C 60, 055214 (1999), arXiv:nucl-th/9905056. Crossref, Web of Science, ADS, Google Scholar
23. P. Maris, Proc. Int. Conf. on Quark Confinement and the Hadron Spectrum IV, eds. W. Lucha and K. Maung Maung (World Scientific, Singapore, 2002), p. 163, arXiv:nucl-th/0009064. Google Scholar
24. M. Abramowitz and I. A. Stegun (eds.), Handbook of Mathematical Functions (Dover, New York, 1964). Google Scholar
25. Particle Data Group (C. Patrignani et al.), Chin. Phys. C 40, 100001 (2016). Crossref, Web of Science, ADS, Google Scholar