Publication: φ →π⁺π⁻ decay within a chiral unitary approach
Loading...
Official URL
Full text at PDC
Publication Date
2000-10-01
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Amer Physical Soc
Citations
Exportar
Abstract
Starting from the chiral perturbation theory Lagrangian, but keeping different masses for the charged and neutral mesons (m_u ≠ m_d), and using a previously developed nonperturbative unitary scheme that generates the lightest meson-meson resonances, we construct KK̅→KK̅ and KK̅→π⁺π⁻ in the vector channel. This allows us to obtain the kaon-loop contribution to φ-ρ mixing and study the φ→π⁺π⁻ decay. The dominant contribution to this decay comes from the φ→ϒ→π⁺π⁻ process. However, there can be large interferences with the subdominant contributions coming from φ-ρ and φ-ω mixing, or of these two contributions among themselves. As a consequence, a reliable measurement of φ→π⁺π⁻ decay could be used to differentiate between some φ-ω mixing scenarios proposed in the literature.
Description
©2000 The American Physical Society.
We would like to thank T. Barnes, A. Bramon, R. Escribano, and Ulf-G. Meissner for discussions and useful information. J.A.O. would like to acknowledge partial financial
support from the Generalitat Valenciana. J.R.P. thanks the Departamento de Física Teórica and IFIC at the University of Valencia-CSIC for their warm hospitality. We would also like to acknowledge the financial support from the DGICYT under Contracts No. PB96-0753, AEN97-1693, and PB98-0782 and from the EU TMR network Eurodaphne, Contract No. ERBFMRX-CT98-0169.
UCM subjects
Unesco subjects
Keywords
Citation
[1] S. Okubo, Phys. Lett. 5, 165 (1963); G. Zweig, CERN Report Nos. TH-401 and TH-412, 1964 (unpublished); J. Izikuda, Suppl. Prog. Theor. Phys. 37-38, 21 (1966); J. Iizuka, K. Okada, and O. Shito, Prog. Theor. Phys. 35, 1061 (1966).
[2] G. ’t Hooft, Nucl. Phys. B72, 461 (1974); B75, 461 (1974); E. Witten, ibid. B160, 57 (1979).
[3] I. B. Vasserman et al., Phys. Lett. 99B, 62 (1981).
[4] V. B. Golubev et al., Yad. Fiz. 44, 633 (1986) [Sov. J. Nucl. Phys. 44, 409 (1986)].
[5] CMD-2 Collaboration, G. V. Fedotovich, talk given at the ‘‘8th International Conference on Hadron Spectroscopy, HADRON 99,’’ Beijing, China, 1999 (unpublished).
[6] SND Collaboration, S. Burdin, talk given at the ‘‘8th International Conference on Hadron Spectroscopy, HADRON 99,’’ Beijing, China, 1999 (unpublished); M. N. Achasov et al., Nucl. Phys. A675, 320 (2000). [7] A. Bramon and A. Varias, Phys. Rev. D 20, 2262 (1979).
[8] N. N. Achasov et al., Int. J. Mod. Phys. A 7, 3187 (1992); N. N. Achasov and A. A. Kozhevnikov, Phys. Lett. B 233, 474 (1989); Int. J. Mod. Phys. A 7, 4825 (1992).
[9] H. Genz and S. Tatur, Phys. Rev. D 50, 3263 (1994).
[10] S. Weinberg, Physica A 96, 327 (1979).
[11] J. Gasser and H. Leutwyler, Ann. Phys. (N.Y.) 158, 142 (1984); J. Gasser and H. Leutwyler, Nucl. Phys. B250, 465 (1985); B250, 517 (1985); B250, 539 (1985).
[12] M. Knecht and R. Urech, Nucl. Phys. B519, 329 (1998).
[13] C. Mueller and U. G. Meissner, Nucl. Phys. B556, 265 (1999).
[14] E. Epelbaum and U. G. Meissner, invited talk given at the ‘‘Workshop on Nuclear Physics with Effective Field Theory: 1999,’’ INT, Seattle, 1999 (unpublished); nucl-th/9903046.
[15] A. Gall, J. Gasser, V. E. Lyubovitskij, and A Rusetsky, Phys. Lett. B 462, 335 819999.
[16] T. N. Truong, Phys. Rev. Lett. 61, 2526 (1988); 67, 2260 (1991); A. Dobado, M. J. Herrero, and T. N. Truong, Phys. Lett. B 235, 134 (1990); A. Dobado and J. R. Peláez, Phys. Rev. D 47, 4883 (1993); 56, 3057 (1997).
[17] J. A. Oller, E. Oset, and J. R. Peláez, Phys. Rev. Lett. 80, 3452 (1998); Phys. Rev. D 59, 074001 (1999); 60, 099906(E) (1999).
[18] F. Guerrero and J. A. Oller, Nucl. Phys. B537, 459 (1999).
[19] J. A. Oller, E. Oset, and A. Ramos, Prog. Part. Nucl. Phys. 45, 157 (2000).
[20] H. J. Lipkin, in New Fields in Hadronic Physics, proceedings of the XI Rencontre de Moriond, Flaine-Haut-Savoie, France, 1976, edited by Trân Thanh Vân (CNRS, Paris, 1976), p. 327.
[21] F. M. Renard, Phys. Lett. 76B, 451 (1978).
[22] G. Ecker, J. Gasser, A. Pich, and E. de Rafael, Nucl. Phys. B321, 311 (1989); G. Gasser H. Leutwyler, A. Pich, and E. de Rafael, Phys. Lett. B 223, 425 (1989).
[23] L. M. Barkov, Nucl. Phys. B256, 365 (1985).
[24] Particle Data Group, C. Caso et al., Eur. Phys. J. C 3, 1 (1998).
[25] R. Gatto, Nuovo Cimento 28, 658 (1963).
[26] M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B147, 519 (1979).
[27] R. Urech, Phys. Lett. B 355, 308 (1995).
[28] J. A. Oller and E. Oset, Phys. Rev. D 60 074023 (1999).
[29] L. Rosselet et al., Phys. Rev. D 7, 1279 (1973).
[30] F. James, MINUIT Reference Manual D506, 1994 (unpublished).
[31] J. Bijnens, G. Ecker, and J. Gasser, Chiral Perturbation Theory in The DAfNE Physics Handbook, 2nd ed., edited by L. Maiani, G. Panchieri, and N. Paver (Frascati).
[32] S. D. Protopopescu et al., Phys. Rev. D 7, 1279 (1973).
[33] P. Estabrooks and A. D. Martin, Nucl. Phys. B79, 301 (1974).
[34] B. Hyams et al., Nucl. Phys. B64, 134 (19739; P. Estabrooks et al., in π – π Scattering, edited by D. K. Williams and V. Hagopian, AIP Conf. Proc. No. 13 (AIP, New York, 1973), pp. 37, 117; G. Grayer et al., in Experimental Meson Spectroscopy, edited by A. H. Rosenfeld and K. W. Lai, AIP Conf. Proc. No. 8 (AIP, New York, 1972), p. 5; G. Grayer et al., presented at the 16th International Conference on High-Energy Physics, Batavia, 1972, Report No. 768 (unpublished!; W. Manner, presented at the 4th International Conference on Experimental Meson Spectroscopy, Boston, MA, 1974 (unpublished); CERN report.
[35] C. D. Frogatt and J. L. Petersen, Nucl. Phys. B129, 89 (1977).
[36] G. Grayer et al., Nucl. Phys. B75, 18 (1974).
[37] A. D. Martin and E. N. Ozmuth, Nucl. Phys. B158, 520 (1979).
[38] D. Cohen, Phys. Rev. D 22, 2595 (1980); S. J. Lindenbaum and R. S. Longacre, Phys. Lett. B 274, 492 (1992).
[39] R. Mercer et al., Nucl. Phys. B32, 381 (1971).
[40] H. H. Bingham et al., Nucl. Phys. B41, 1 (1972); S. L. Baker et al., ibid. B99, 211 (1975); D. Aston et al., ibid. B296, 493 (1988).
[41] P. Estabrooks et al., Nucl. Phys. B133, 490 (1978).
[42] Amsterdam, CERN, Nijmegen-Oxford Collaboration, Phys. Lett. 63B, 220 (1976); J. B. Gay et al., ibid. 63B, 220 (1976).
[43] D. Linglin et al., Nucl. Phys. B57, 64 (1973).
[44] A. Schenk, Nucl. Phys. B363, 97 (1991). [45] L. Rosselet et al., Phys. Rev. D 15, 574 (1977).
[46] S. Okubo, Phys. Rev. D 16, 2336 (1977). [47] P. Geiger and N. Isgur, Phys. Rev. D 44, 799 (1991); 47, 5050 (1993); 55, 299 (1997).
[48] P. Geiger and N. Isgur, Phys. Rev. D 47, 5050 (1993).
[49] S. Descotes, L. Girnalda, and J. Stern, J. High Energy Phys. 01, 041 (2000).
[50] J. A. Oller and E. Oset, Nucl. Phys. A620, 438 (1997); A652, 407(E) (1999).
[51] J. A. Oller and E. Oset, Nucl. Phys. A629, 739 (1998).