RT Journal Article
T1 Forward dispersion relations and Roy equations in π π  scattering
A1 Kamiński, Robert
A1 Peláez Sagredo, José Ramón
A1 Yndurain, F.J.
AB We first review the results of an analysis of π π interactions in S, P and D waves for the two-pion effective mass from threshold to about 1.4GeV. In particular, we show a recent improvement of this analysis above the KK̅ threshold using more data for phase shifts and including the S0-wave inelasticity from π π-> KK̅ . In addition, we have improved the fit to the f_(2)(1270)resonance and used a more flexible P-wave parametrization above the KK̅ threshold and included an estimation of the D_2 wave inelasticity. The better accuracy thus achieved also required a refinement of the Regge analysis above 1.42GeV. Finally, in this work we check that the pi pi scattering amplitudes obtained in this approach satisfy remarkably well forward dispersion relations and Roy's equations.
PB Springer
SN 1434-6001
YR 2007
FD 2007-03
LK https://hdl.handle.net/20.500.14352/51721
UL https://hdl.handle.net/20.500.14352/51721
LA eng
NO 1. J. R. Peláez, F. J. Ynduráin, Phys. Rev. D71, (2005) 074016. 2. R. Kamínski,J. R. Peláez, F. J. Ynduráin, Phys. Rev. D74, (2006) 014001 and Erratum Phys. Rev. D74 (2006) 079903. 3. B. Hyams, et al., Nucl. Phys. B64, (1073) 134. Estabrooks, P., and Martin, A. D., Nucl. Physics, B79, (1974) 301. 4. G. Grayer, et al., Nucl. Phys. B75, (1974) 189. 5. R. Kamínski, L. Lésniak, K. Rybicki, Z. Phys. C74, (1997) 79 (1997) and Eur. Phys. J. direct C4, (2002) 4. 6. B. Hyams, et al., Nucl. Phys. B100, (1975) 205. 7. ππ → K̅K scattering: W. Wetzel et al., Nucl. Phys. B115, (1976) 208; D. Cohen et al., Phys. Rev. D22, (1980) 2595; E. Etkin et al., Phys. Rev. D25, (1982) 1786. 8. S. D. Protopopescu, et al., Phys Rev. D7, (1973) 1279.9. Eidelman, S., et al., Phys. Letters B592, 1 (2004). 10. J. R. Pelaez and F. J. Yndurain, Phys. Rev. D 69, 114001 (2004). 11. J. F. de Trocóniz, F. J. Ynduráin, Phys Rev. D65, (2002) 093001; Phys Rev. D71, (2005) 073008. 12. S. M. Roy, Phys. Lett. B 36, 353 (1971). 13. B. Ananthanarayan, G. Colangelo, J. Gasser and H. Leutwyler, Phys. Rept. 353, 207 (2001). 14. R. Kamínski, L. Lésniak, B. Loiseau, Phys. Lett. B 551, (2003) 241.
NO ©Springer.International Conference on Quarks and Nuclear Physics (4.2006. Madrid).
DS Docta Complutense
RD 16 may 2024