RT Journal Article T1 Thermal meson properties within Chiral Perturbation Theory A1 Gómez Nicola, Ángel A1 Dobado González, Antonio A1 Llanes Estrada, Felipe José AB We report on our recent work about the description of a meson gas below the chiral phase transition within the framework of Chiral Perturbation Theory. As an alternative to the standard treatment, we present a calculation of the quark condensate which combines the virial expansion and the meson-meson scattering data. We have also calculated the full one-loop elastic pion scattering amplitude at finite temperature and we have unitarized the amplitude using the Inverse Amplitude Method in order to reproduce the temperature effects on the mass and width of the p and a resonances. Our results show a clear increase of the thermal p width, as expected from previous analysis. The results for the a are consistent with Chiral Symmetry Restoration. We comment on the relevance of our results within the context of Relativistic Heavy Ion Collisions. PB American Institute of Physics SN 0094-243X YR 2003 FD 2003 LK https://hdl.handle.net/20.500.14352/58625 UL https://hdl.handle.net/20.500.14352/58625 LA eng NO 1. HELIOS-3 collaboration,Nucl. Phys. 590, 127c (1995); CERES (NA45) Collaboration,Nucl. Phys. A661, 23c (1999).2. Dey, M., Eletsky, V.L. and Ioffe, B.L.Phys. Lett. B252, 620 (1990); Gale, C. and Kapusta, J.I.Nucl. Phys. B357, 65 (1991).3. Dominguez, C.A., Loewe, M. and Rojas, J.C. Z. Phys. C 59, 63 (1993).4. Pisarski, R.D. Phys. Rev. D 52, 3773 (1995);Nucl. Phys. A 590, 553c (1995).5. Haglin, K. Nucl. Phys. A584, 719 (1995).6. Li, G.Q., Ko, C.M. and Brown, G.E., Phys. Rev. Lett. 75, 4007 (1995); Ko, C.M., Li, G.Q, Brown,G.E. and Sorge, H.,Nucl. Phys. A610, 342c (1996).7. Song, C. and Koch, V. Phys. Rev. C54 3218 (1996).8. Eletsky, V.L., Belkacem, M., Ellis, P.J. and Kapusta, J.I. Phys. Rev. C64, 035202 (2001).9. He, Y.B., Hüfner, J., Klevansky, S.P. and Rehberg, P. Nucl. Phys. A630, 719 (1998).10. Weinberg, S. Physica A96, 327 (1979).11. Gasser, J. and Leutwyler, H. Ann.Phys.(N.Y.) 158, 142 (1984).12. Gasser, J. and Leutwyler, H.,Nucl. Phys. B250, 465 (1985).13. Meissner, U.G., Rep.Prog.Phys. 56, 903 (1993); Pich, A., Rep.Prog.Phys. 58, 563 (1995); Dobado, A., Gómez Nicola, A., Maroto, A.L. and Peláez, J.R.,Effective Lagrangians for the Standard Model, Springer-Verlag, Berlin, 1997.14. Truong, T.N. Phys. Rev. Lett. 61, 2526 (1988); Phys. Rev. Lett. 67, 2260 (1991); Dobado, A., Herrero, M.J. and Truong, T.N., Phys. Lett. B235, 134 (1990); Dobado, A. and Peláez, J.R. Phys. Rev. D47, 4883 (1993);Phys. Rev. D56, 3057 (1997).15. Oller, J.A. and Oset, E., Nucl. Phys. A620, 438 (1997); Nieves, J. and Ruiz Arriola, E., Phys. Lett. B455, 30 (1999);Nucl. Phys. A679, 57 (2000);Phys. Rev. D63, 076001 (2001).16. Oller, J.A., Oset, E. and Peláez, J.R., Phys. Rev. Lett. 80, 3452 (1998); Phys. Rev. D59, 074001 (1999); 60, 99906(E) (1999). Guerrero, F. and Oller, J.A., Nucl. Phys. B537, 459 (1999); Nucl. Phys. B602 641 (E).17. Gómez Nicola, A. and Peláez, J.R., Phys. Rev. D65, 054009 (2002).18. Gómez Nicola, A., LLanes-Estrada, F.J. and Peláez, J.R., Phys. Lett. B550, 55-64 (2002).19. Dobado, A., Gómez Nicola, A., LLanes-Estrada, F.J. and Peláez, J.R. Phys. Rev. C66, 055201 (2002).20. Gasser, J. and Leutwyler, H., Phys. Lett. B184, 83 (1987).21. Gerber, P. and Leutwyler, H.,Nucl. Phys. B321, 387 (1989).22. Pisarski, R.D. and Tytgat, M. Phys. Rev. D54, 2989 (1996); Toublan, D. Phys. Rev. D56, 5629 (1997); Martinez Resco, J.M. and Valle Basagoiti, M.A., Phys. Rev. D58, 097901 (1998)23. Goity, J.L. and Leutwyler, H., Phys. Lett. B228, 517 (1989).24. Schenk, A., Phys. Rev. D47, 5138 (1993).25. Gómez Nicola, A., Phys. Rev. D 64, 016011 (2001); Gómez Nicola, A. and Galan-González, V., Phys. Lett. B449, 288 (1999).26. Pisarski, R.D. and Wilczek, F., Phys. Rev. D29, 338 (1984); Rajagopal, K. and Wilczek, F., Nucl. Phys. B399, 395 (1993); Bochkarev, A. and Kapusta, J.I, Phys. Rev. D54, 4066 (1996); AmelinoCamelia, G., Phys. Lett. B407, 268 (1997); Petropoulos, N., J.Phys.G25, 2225 (1999); Nemoto, Y., Naito, K. and Oka,M., Eur.Phys.J.A9, 245 (2000); Ayala, A. and Sahu, S. Phys. Rev. D 62, 056007 (2000).27. Chiku, S. and Hatsuda, T., Phys. Rev. D57, R6 (1998),Phys. Rev. D58, 076001 (1998).28. Le Bellac, M., Thermal Field Theory, Cambridge University Press, London, 1996.29. Dobado, A. and Peláez, J.R., Phys. Rev. D59, 034004 (1999).30. Peláez, J.R., Phys. Rev. D66, 096007 (2002).31. Dashen, R., Ma, S., Bernstein, H.J., Phys. Rev. 187, 345 (1969).32. Karsch, F., Peikert, A. and Laermann, E.,Nucl. Phys. B605, 579 (2001).33. Quack, E., Zhuang, P., Kalinovsky,Y., Klevansky, S.P. and Hufner,J.,Phys. Lett. B348, 1 (1995).34. Kaiser, N., Phys. Rev. C59, 2945 (1999).35. Baier, R. and Niégawa, A. Phys. Rev. D49, 4107 (1994).36. Kobes,R.Phys. Rev. D42, 562 (1990); D43 , 1269 (1991).37. Weldon, H.A. Phys. Rev. D28, 2007 (1983);Ann.Phys. (N.Y.) 214, 152 (1992).38. Donoghue, J.F., Ramirez, C. and Valencia, G., Phys. Rev. D39, 1947 (1989); Ecker, G., Gasser, J., Pich. A. and de Rafael, E.,Nucl. Phys. B321, 311 (1989).39. Yokokawa, K., Hatsuda, T., Hayashigaki, A. and Kunihiro,T.,Phys. Rev. C66, 022201 (2002).40. Broniowski, W., Florkowski, W. and Hiller, B., Nucl. Phys. A696 870 (2001). NO ©2003 American Institute of Physics 0-7354-0120-9/03/S20.00.International Workshop on Hadron Physics (2 . 2002. Coimbra, Portugal).Hadron Physics: effective theories of low energy QCDA.G.N and J.R.P wish to thank the organizers of the "2nd International Workshop on Hadron Physics" for their kind invitation. We acknowledge financial support from the Spanish CICYT projects, FPA2000-0956, PB98-0782 and BFM2000-1326. This work was supported in part by the Director, Office of Science, Office of High Energy and Nuclear Physics of the U.S. Department of Energy under Contract DE-AC03-76SF00098. J.R.P. acknowledges support from the CICYT-INFN collaboration grant 003P 640.15. A.D. acknowledges support from the Universidad Complutense del Amo Program. Eqns.(4)-(7) and Fig.4 are reprinted from "Finite-temperature pion scattering to one loop in chiral perturbation theory" [18] with permission from Elsevier Science. NO Office of Science, Office of High Energy and Nuclear Physics of the U.S. Department of Energy NO Spanish CICYT NO Universidad Complutense del Amo Program NO CICYT-INFN DS Docta Complutense RD 29 abr 2024