Hadronic decays of η and η′ with coupled channels

Nuclear Physics A

Volumn 716, Issue , 2003, Pages 186-208

  Beisert, N ^a   Borasoy, B ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

Chiral effective Lagrangians; Coupled channels; Final state interactions; Hadronic decays of mesons; and

Indexed keywords

EID: 0037464367     PISSN: 03759474     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9474(02)01585-3     Document Type: Article

References (51)

1. J. Gasser, H. Leutwyler, Chiral perturbation theory: expansions in the mass of the strange quark, Nucl. Phys. B 250 (1985) 465.
2. R. Kaiser, H. Leutwyler, Large N(c) in chiral perturbation theory, Eur. Phys. J. C 17 (2000) 623, hepph/0007101.
3. H. Leutwyler, Bounds on the light quark masses, Phys. Lett. B 374 (1996) 163, hep-ph/9601234.
4. c limit: the nonet case, Nucl. Phys. B 497 (1997) 345, hep-ph/9610549.
5. R. Kaiser, H. Leutwyler, Pseudoscalar decay constants at large N(c), hep-ph/9806336.
6. T. Becher, H. Leutwyler, Baryon chiral perturbation theory in manifestly Lorentz invariant form, Eur. Phys. J. C 9 (1999) 643, hep-ph/9901384.
7. B. Borasoy, S. Wetzel, U(3) chiral perturbation theory with infrared regularization, Phys. Rev. D 63 (2001) 074019, hep-ph/0105132.
8. N. Beisert, B. Borasoy, η-η′ mixing in U(3) chiral perturbation theory, Eur. Phys. J. A 11 (2001) 329, hep-ph/0107175.
9. N. Beisert, B. Borasoy, The η′ → ηππ decay in U(3) chiral perturbation theory, Nucl. Phys. A 705 (2002) 433, hep-ph/0201289.
10. J. Gasser, H. Leutwyler, η → 3π to one loop, Nucl. Phys. B 250 (1985) 539.
11. J. Kambor, C. Wiesendanger, D. Wyler, Final state interactions and Khuri-Treiman equations in η → 3π decays, Nucl. Phys. B 465 (1996) 215, hep-ph/9509374.
12. 0 (980) scalar mesons, Nucl. Phys. A 620 (1997) 438, hep-ph/9702314.
13. N. Kaiser, P.B. Siegel, W. Weise, Chiral dynamics and the low-energy K N interaction, Nucl. Phys. A 594 (1995) 325, nucl-th/9505043.
14. N. Beisert, B. Borasoy, S-wave meson-meson scattering from unitarized U(3) chiral Lagrangians, in press.
15. B. Borasoy, E. Marco, S. Wetzel, η′ electroproduction off nucleons, Phys. Rev. C 66 (2002) 055208.
16. A.H. Fariborz, J. Schechter, η′ η → ππ decay as a probe of a possible lowest-lying scalar nonet, Phys. Rev. D 60 (1999) 034002, hep-ph/9902238.
17. J. Schechter, Y. Ueda, General treatment of the breaking of chiral symmetry and scale invariance in the SU(3) sigma model, Phys. Rev. D 3 (1971) 2874.
18. C.A. Singh, J. Pasupathy, On the decay modes of the meson η′(958) and chiral symmetry breaking, Phys. Rev. Lett. 35 (1975) 1193;
19. C.A. Singh, J. Pasupathy, Phys. Rev. Lett. 35 (1975) 1748, Erratum.
20. N.G. Deshpande, T.N. Truong, Resolution of the η′ →ηππ puzzle, Phys. Rev. Lett. 41 (1978) 1579.
21. A. Bramon, E. Masso, On the quark content of Δ(980) and other scalar mesons, Phys. Lett. B 93 (1980) 65;
22. A. Bramon, E. Masso, Phys. Lett. B 107 (1980) 455, Erratum.
23. 0 : a key to understanding the η-η′ system, Z. Phys. C 40 (1988) 283.
24. R.F. Dashen, Chiral SU(3) × SU(3) as a symmetry of the strong interactions, Phys. Rev. 183 (1969) 1245.
25. R. Kaminski, L. Lesniak, B. Loiseau, Three channel model of meson-meson scattering and scalar meson spectroscopy, Phys. Lett. B 413 (1997) 130, hep-ph/9707377.
26. J.A. Cronin, Phenomenological model of strong and weak interactions in chiral U(3) × U(3), Phys. Rev. 161 (1967) 1483.
27. H. Osborn, D.J. Wallace, η-x mixing, η → 3π and chiral Lagrangians, Nucl. Phys. B 20 (1970) 23.
28. Particle Data Group Collaboration, D.E. Groom, et al., Review of Particle Physics, Eur. Phys. J. C 15 (2000) 1.
29. J. Nieves, E. Ruiz Arriola, Bethe Salpeter approach for unitarized chiral perturbation theory, Nucl. Phys. A 679 (2000) 57, hep-ph/9907469.
30. D.G. Sutherland, η → 3π, Phys. Lett. 23 (1966) 384.
31. -γ , Phys. Rev. D 7 (1973) 2565.
32. + , Phys. Rev. D 2 (1970) 501.
33. Crystal Barrel Collaboration, C. Amsler, et al., . decays into three pions, Phys. Lett. B 346 (1995) 203.
34. C. Amsler, Proton-antiproton annihilation and meson spectroscopy with the crystal barrel, Rev. Mod. Phys. 70 (1998) 1293, hep-ex/9708025.
35. 0 , Phys. Lett. B 417 (1998) 197.
36. Serpukhov-Brussels-Annecy (LAPP) Collaboration, D. Alde, et al., Neutral decays of the . meson, Z. Phys. C 25 (1984) 225.
37. 0 , Phys. Lett. B 417 (1998) 193.
38. 0 decay, Phys. Rev. Lett. 87 (2001) 192001.
39. J.F. Donoghue, B.R. Holstein, D. Wyler, Mass ratios of the light quarks, Phys. Rev. Lett. 69 (1992) 3444.
40. J.F. Donoghue, B.R. Holstein, D.Wyler, Electromagnetic selfenergies of pseudoscalar mesons and Dashen's theorem, Phys. Rev. D 47 (1993) 2089.
41. J. Bijnens, Violations of Dashen's theorem, Phys. Lett. B 306 (1993) 343, hep-ph/9302217.
42. A.V. Anisovich, H. Leutwyler, Dispersive analysis of the decay η → 3π, Phys. Lett. B 375 (1996) 335, hep-ph/9601237.
43. 4 in chiral perturbation theory, Phys. Scripta T 99 (2002) 34, hep-ph/0202242.
44. P. Di Vecchia, F. Nicodemi, R. Pettorino, G. Veneziano, Large N, chiral approach to pseudoscalar masses, mixings and decays, Nucl. Phys. B 181 (1981) 318.
45. R. Akhoury, J.M. Frère, η, η′ mixing and anomalies, Phys. Lett. B 220 (1989) 258.
46. S. Fajfer, J.M. Gerard, Hadronic decays of η and η′ in the large N limit, Z. Phys. C 42 (1989) 431.
47. R chiral perturbation theory, hep-ph/9902446.
48. G.R. Kalbfleisch, Comments on the η(́958): branching ratio, linear matrix element and dipion phase shift, Phys. Rev. D 10 (1974) 916.
49. 0 decay, Phys. Lett. B 177 (1986) 115.
50. CLEO Collaboration, R.A. Briere, et al., Rare decays of the η′, Phys. Rev. Lett. 84 (2000) 26, hepex/9907046.
51. G. Ecker, J. Gasser, A. Pich, E. de Rafael, The role of resonances in chiral perturbation theory, Nucl. Phys. B 321 (1989) 311.