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The production of the $f_{1} (1285) γ$ $f_{1} (1285) γ$ and $a_{1} (1260) γ$ in colliding $e^{+} e^{-}$ -beams in threshold domain

M. K. Volkov

Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, Russia

E-mail Address: volkov@theor.jinr.ru

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A. A. Pivovarov

Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, Russia

E-mail Address: tex_k@mail.ru

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A. A. Osipov

Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, Russia

E-mail Address: osipov@nu.jinr.ru

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https://doi.org/10.1142/S0217751X17501238Cited by:3 (Source: Crossref)

Abstract

The processes $e^{+} e^{-} \to (f_{1} (1285), a_{1} (1260)) γ$ in the threshold domain are considered in the framework of the extended Nambu–Jona-Lasinio model. The channels with the ground $ρ (770)$ , $ω (782)$ and radially excited $ρ (1450)$ , $ω (1420)$ intermediate meson states are taken into account. It is shown that in the process $e^{+} e^{-} \to f_{1} (1285) γ$ , the probability of the subprocesses with $ρ$ -mesons significantly exceeds the probability of the subprocesses with $ω$ -mesons, whereas, in the process $e^{+} e^{-} \to a_{1} (1260) γ$ , $ρ$ - and $ω$ -channels give approximately equal contributions. The mechanism of this effect is discussed. The radiative decay widths of $ρ (1450) \to f_{1} (1285) γ$ , $ω (1420) \to f_{1} (1285) γ$ , $ρ (1450) \to a_{1} (1260) γ$ and $ω (1420) \to a_{1} (1260) γ$ are calculated.

Keywords:

PACS: 12.39.Fe, 13.25.Jx, 13.60.Le, 13.66.Bc, 14.40.Be

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References

1. D. Ebert and M. K. Volkov, Z. Phys. C 16, 205 (1983). Crossref, ADS, Google Scholar
2. M. K. Volkov, Ann. Phys. 157, 282 (1984). Crossref, Web of Science, ADS, Google Scholar
3. M. K. Volkov, Sov. J. Part. Nucl. 17, 186 (1986) [Fiz. Elem. Chast. Atom. Yadra 17, 433 (1986)]. Google Scholar
4. D. Ebert and H. Reinhardt, Nucl. Phys. B 271, 188 (1986). Crossref, Web of Science, ADS, Google Scholar
5. U. Vogl and W. Weise, Prog. Part. Nucl. Phys. 27, 195 (1991). Crossref, Web of Science, ADS, Google Scholar
6. S. P. Klevansky, Rev. Mod. Phys. 64, 649 (1992). Crossref, Web of Science, ADS, Google Scholar
7. T. Hatsuda and T. Kunihiro, Phys. Rep. 247, 221 (1994). Crossref, Web of Science, ADS, Google Scholar
8. D. Ebert, H. Reinhardt and M. K. Volkov, Prog. Part. Nucl. Phys. 33, 1 (1994). Crossref, ADS, Google Scholar
9. J. Gasser and H. Leutwyler, Ann. Phys. 158, 142 (1984). Crossref, Web of Science, ADS, Google Scholar
10. J. Gasser and H. Leutwyler, Nucl. Phys. B 250, 465 (1985). Crossref, Web of Science, ADS, Google Scholar
11. J. Gasser and H. Leutwyler, Nucl. Phys. B 250, 517 (1985). Crossref, Web of Science, ADS, Google Scholar
12. G. Ecker, J. Gasser, H. Leutwyler, A. Pich and E. De Rafael, Phys. Lett. B 223, 425 (1989). Crossref, Web of Science, ADS, Google Scholar
13. G. Ecker, J. Gasser, A. Pich and E. De Rafael, Nucl. Phys. B 321, 311 (1989). Crossref, Web of Science, ADS, Google Scholar
14. S. I. Dolinsky et al., Phys. Rep. 202, 99 (1991). Crossref, Web of Science, ADS, Google Scholar
15. N. N. Achasov and A. A. Kozhevnikov, Int. J. Mod. Phys. A 7, 4825 (1992). Link, Web of Science, ADS, Google Scholar
16. M. N. Achasov et al., Phys. Lett. B 559, 171 (2003). Crossref, Web of Science, ADS, Google Scholar
17. A. B. Arbuzov, E. A. Kuraev and M. K. Volkov, Eur. Phys. J. A 47, 103 (2011). Crossref, Web of Science, ADS, Google Scholar
18. M. N. Achasov et al., Phys. Rev. D 74, 014016 (2006). Crossref, Web of Science, ADS, Google Scholar
19. A. I. Ahmadov, D. G. Kostunin and M. K. Volkov, Phys. Rev. C 87, 045203 (2013) [Erratum: ibid. 89, 039901 (2014)]. Crossref, Web of Science, ADS, Google Scholar
20. M. K. Volkov and C. Weiss, Phys. Rev. D 56, 221 (1997). Crossref, Web of Science, ADS, Google Scholar
21. M. K. Volkov, Phys. Atom. Nucl. 60, 1920 (1997) [Yad. Fiz. 60, 2094 (1997)]. Web of Science, ADS, Google Scholar
22. M. K. Volkov and A. E. Radzhabov, Phys. Usp. 49, 551 (2006). Crossref, Web of Science, ADS, Google Scholar
23. M. K. Volkov and A. B. Arbuzov, Phys. Part. Nucl. 47, 489 (2016) [Fiz. Elem. Chast. Atom. Yadra 47, 489 (2016)]. Crossref, Web of Science, Google Scholar
24. A. A. Osipov, A. A. Pivovarov and M. K. Volkov, arXiv:1705.05711 [hep-ph]. Google Scholar
25. Particle Data Group (K. A. Olive et al.), Chin. Phys. C 40, 100001 (2016). Crossref, Web of Science, ADS, Google Scholar
26. CLAS Collab. (R. Dickson et al.), Phys. Rev. C 93, 065202 (2016), arXiv:1604.07425 [nucl-ex]. Crossref, Web of Science, Google Scholar