Publication:
Consistency checks of pion-pion scattering data and chiral dispersive calculations

Loading...
Thumbnail Image
Full text at PDC
Publication Date
2005
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Amer Inst Physics
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
Abstract
We have evaluated forward dispersion relations for scattering amplitudes that follow from direct fits to several sets of ππ scattering experiments, together with the precise K decay results, and high to energy data. We find that some of the most commonly used experimental sets, as well as some recent theoretical analyses based on Roy equations, do not satisfy these constraints by several standard deviations. Finally, we provide a consistent ππ amplitude by improving a global fit to data with these dispersion relations.
Description
©2005 American Institute of Physics. ISSN: 0094-243X Conference on Quark Confinement and the Hadron Spectrum (6. 2004. Helsinki, Finlandia). F.J. Ynduráin is grateful to the organizing committee for the opprtunity to talk at the meeting and for financial support.
Unesco subjects
Keywords
Citation
1. Ananthanarayan, B., Colangelo, G., Gasser, J., and Leutwyler, H., Phys. Rep., 353, 207, (2001). 2. Colangelo, G., Gasser, J., and Leutwyler, H., Nucl. Phys. B603, 125, (2001). 3. Peláez, J. R., and Ynduráin, F. J., Phys. Rev. D68, 074005 (2003). 4. Peláez, J. R., and Ynduráin, F. J., Phys. Rev. D69, 114001 (2004). 5. Peláez, J. R., and Ynduráin, F. J., FTUAM 04-14 hep-ph/0411334. 6. de Trocóniz, J. F., and Ynduráin, F. J., Phys. Rev., D65, 093001, (2002) and hep-ph/0402285. When quoting numbers, we will quote from this last paper. 7. Losty, M. J., et al. Nucl. Phys., B69, 185 (1974); Hoogland, W., et al. Nucl. Phys., B126, 109 (1977); Cohen, D. et al., Phys. Rev. D7, 661 (1973); Durusoy, N. B., et al., Phys. Lett. B45, 517 (19730. 8. Rosselet, L., et al. Phys. Rev. D15, 574 (1977); Pislak, S., et al. Phys. Rev. Lett., 87, 221801 (2001). 9. Protopopescu, S. D., et al., Phys Rev. D7, 1279, (1973). 10. Cern-Munich experiment: Hyams, B., et al., Nucl. Phys. B64, 134, (1973); Grayer, G., et al., Nucl. Phys. B75, 189, (1974). See also the analysis of the same data in Estabrooks, P., and Martin, A. D., Nucl. Physics, B79, 301, (1974); Kaminski, R., Lesniak, L, and Rybicki, K., ´ Z. Phys. C74, 79 (1997) and Eur. Phys. J. direct C4, 4 (2002); Au, K. L., Morgan, D., and Pennington, M. R. Phys. Rev. D35, 1633 (1987). 11. Palou, F. P., and Ynduráin, F. J., Nuovo Cimento, 19A, 245, (1974); Palou, F. P., Sánchez-Gómez, J. L., and Ynduráin, F. J., Z. Phys., A274, 161, (1975). 12. Pennington, M. R., Ann. Phys. (N.Y.), 92, 164, (1975). 13. Biswas, N. N., et al., Phys. Rev. Letters, 18, 273 (1967) [π ̅ π ̅ , π^(+) π ̅ and π^(0)π ̅ ]; Cohen, D. et al., Phys. Rev. D7, 661 (1973) [π ̅ π ̅ ]; Robertson, W. J., Walker, W. D., and Davis, J. L., Phys. Rev. D7, 2554 (1973) [π^(+) π ̅ ]; Hoogland, W., et al. Nucl. Phys., B126, 109 (1977) [π ̅ π ̅ ]; Hanlon, J., et al, Phys. Rev. Letters, 37, 967 (1976) [π^(+) π ̅ ]; Abramowicz, H., et al. Nucl. Phys., B166, 62 (1980) [π^(+) π ̅]. These references cover the region between 1.35 and 16 GeV, and agree within errors in the regions where they overlap (with the exception of π ̅ π ̅ below 2.3 GeV, discussion in [5]). 14. Peláez, J. R. Proceedings of MESON 2004, Cracow, Poland, 4-8 Jun 2004. arXiv:hep-ph/0407213. 15. Martin, B. R., Morgan, D., and and Shaw, G. Pion-Pion Interactions in Particle Physics, Academic Press, New York (1976). 16. Descotes, S. et al., Eur. Phys. J. C, 24, 469, (2002); Kamiński, R., Lésniak, L., and Loiseau, B. Phys. Letters, B551, 241 (2003). 17. Caprini, I., Colangelo, G., Gasser, J., and Leutwyler, H. Phys. Rev.D68,074006 (2003)