RT Journal Article T1 Finite-temperature pion scattering to one loop in chiral perturbation theory A1 Llanes Estrada, Felipe José A1 Gómez Nicola, Ángel A1 Peláez Sagredo, José Ramón AB We present the pion-pion elastic scattering amplitude at finite temperature to one-loop in chiral perturbation theory. The thermal scattering amplitude properly defined allows to generalize the perturbative unitarity relation to the T 0 0 case. Our result provides a model independent prediction of an enhanced pion-pion low-energy phase shift with the temperature and it has physical applications within the context of relativistic heavy ion collisions. PB Elsevier Science Bv SN 0370-2693 YR 2002 FD 2002-12-12 LK https://hdl.handle.net/20.500.14352/58814 UL https://hdl.handle.net/20.500.14352/58814 LA eng NO [1] S. Weinberg, Physica A 96 (1979) 327.[2] J. Gasser, H. Leutwyler, Ann. Phys. 158 (1984) 142; J. Gasser, H. Leutwyler, Nucl. Phys. B 250 (1985) 465.[3] J. Gasser, H. Leutwyler, Phys. Lett. B 184 (1987) 83; P. Gerber, H. Leutwyler, Nucl. Phys. B 321 (1989) 387; A. Schenk, Phys. Rev. D 47 (1993) 5138.[4] S. Chiku, T. Hatsuda, Phys. Rev. D 57 (1998) R6.[5] D. Jido, T. Hatsuda, T. Kunihiro, Phys. Rev. D 63 (2000) 011901(R).[6] Y.B. He, J. Hufner, S.P. Klevansky, P. Rehberg, Nucl. Phys. A 630 (1998) 719.[7] N. Kaiser, Phys. Rev. C 59 (1999) 2945.[8] E. Quack, P. Zhuang, Y. Kalinovsky, S.P. Klevansky, J. Hufner, Phys. Lett. B 348 (1995) 1.[9] B. Lenkeit, et al., CERES Collaboration, Nucl. Phys. A 661 (1999) 23.[10] G.Q. Li, C.M. Ko, G.E. Brown, Phys. Rev. Lett. 75 (1995) 4007.[11] V.L. Eletsky, M. Belkacem, P.J. Ellis, J.I. Kapusta, Phys. Rev. C 64 (2001) 035202.[12] A. Dobado, A. Gómez Nicola, F.J. Llanes-Estrada, J.R. Peláez, hep-ph/0206238, Phys. Rev. C, in press.[13] T.N. Truong, Phys. Rev. Lett. 67 (1991) 2260; A. Dobado, M.J. Herrero, T.N. Truong, Phys. Lett. B 235 (1990) 134; A. Dobado, J.R. Peláez, Phys. Rev. D 56 (1997) 3057.[14] M. Le Bellac, Thermal Field Theory, Cambridge Univ. Press, Cambridge, 1996, and references therein.[15] R. Baier, A. Niégawa, Phys.Rev. D 49 (1994) 4107.[16] R. Kobes, Phys. Rev. D 42 (1990) 562; R. Kobes, Phys. Rev. D 43 (1991) 1269.[17] A. Niégawa, Phys. Lett. B 247 (1990) 351; A. Niégawa, Phys. Rev. D 57 (1998) 1379; N. Ashida, H. Nakkagawa, A. Niégawa, H. Yokota, Phys. Rev. D 45 (1992) 2066; N. Ashida, H. Nakkagawa, A. Niégawa, H. Yokota, Ann. Phys. (N.Y.) 215 (1992) 315; N. Ashida, H. Nakkagawa, A. Niégawa, H. Yokota, Ann. Phys. (N.Y.) 230 (1994) 161, Erratum.[18] H.A. Weldon, Phys. Rev. D 28 (1983) 2007; H.A. Weldon, Ann. Phys. 214 (1992) 152.[19] J.F. Donoghue, C. Ramirez, G. Valencia, Phys. Rev. D 39 (1989) 1947; G. Ecker, J. Gasser, A. Pich, E. de Rafael, Nucl. Phys. B 321 (1989) 311.[20] C.A. Dominguez, M. Loewe, J.C. Rojas, Z. Phys. C 59 (1993) 63; R.D. Pisarski, Phys. Rev. D 52 (1995) 3773. NO ©2002 Elsevier Science B.V. All rights reserved.The authors thank A. Dobado for useful comments and discussions. F.J.Ll.-E. thanks P. Bicudo, S. Cotanch, P. Maris, E. Ribeiro and A. Szczepaniak too. Work supported from the Spanish CICYT projects, FPA2000-0956, PB98-0782 and BFM2000-1326. NO Spanish CICYT DS Docta Complutense RD 30 abr 2024