Publication: Finite-temperature pion scattering to one loop in chiral perturbation theory
Loading...
Official URL
Full text at PDC
Publication Date
2002-12-12
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science Bv
Citations
Exportar
Abstract
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.
Description
©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.
UCM subjects
Unesco subjects
Keywords
Citation
[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.