RT Journal Article T1 Finite temperature pion vector form factors in chiral perturbation theory A1 Llanes Estrada, Felipe José A1 Gómez Nicola, Ángel A1 Peláez Sagredo, José Ramón AB We discuss the thermal behaviour of the pion vector form factors and calculate them in one-loop chiral perturbation theory. The perturbative result is used to analyze the T dependent electromagnetic pion charge radius, obtaining a rough estimate of the deconfinement critical temperature. Imposing thermal unitarity, we generate the ρ resonance pole for the form factor in the center of mass frame. The ρ peak height in the modulus of the form factor decreasesfor increasing temperature, while its width increases and the peak position is slightly shifted downwards for T _ 150 MeV. These results point in the direction suggested by many analysis of dilepton production data in relativistic heavy ion collisions. PB Elsevier Science Bv SN 0370-2693 YR 2005 FD 2005-01-27 LK https://hdl.handle.net/20.500.14352/50857 UL https://hdl.handle.net/20.500.14352/50857 LA eng NO [1] S. Weinberg, Physica A 96 (1979) 327.[2] J. Gasser, H. Leutwyler, Ann. Phys. 158 (1984) 142.[3] J. Gasser, H. Leutwyler, Phys. Lett. B 184 (1987) 83.[4] A. Gómez Nicola, F.J. Llanes-Estrada, J.R. Peláez, Phys. Lett. B 550 (2002) 55.[5] A. Dobado, A. Gómez Nicola, F. Llanes-Estrada, J.R. Peláez, Phys. Rev. C 66 (2002) 055201.[6] A. Gomez Nicola, J.R. Pelaez, A. Dobado, F.J. Llanes Estrada, AIP Conf. Proc. 660 (2003) 156, hep ph/0212121.[7] M. Masera, et al., HELIOS/3 Collaboration, Nucl. Phys. A 590 (1995) 93c; G. Agakichiev, et al., CERES Collaboration, Phys. Rev. Lett. 75 (1995) 1272; G. Agakichiev, et al., Phys. Lett. B 442 (1998) 405; G. Agakichiev, et al., Nucl. Phys. A 661 (1999) 23; D. Adamová, et al., CERES/NA45 Collaboration, Phys. Rev. Lett. 91 (2003) 042301.[8] R.J. Porter, et al., DLS Collaboration, Phys. Rev. Lett. 79 (1997) 1229.[9] G.Q. Li, C.M. Ko, G.E. Brown, Phys. Rev. Lett. 75 (1995) 4007.[10] V. Koch, C. Song, Phys. Rev. C 54 (1996) 1903.[11] H.-J. Schulze, D. Blaschke, Phys. Lett. B 386 (1996) 429; H.-J. Schulze, D. Blaschke, Part. Nucl. Lett. 119 (2004) 27.[12] R. Rapp, J. Wambach, Eur. Phys. J. A 6 (1999) 415.[13] R. Rapp, J. Wambach, Adv. Nucl. Phys. 25 (2000) 1; A. Ayala, hep-ph/0305170; T. Renk, A. Mishra, Phys. Rev. C 69 (2004) 054905.[14] V.L. Eletsky, M. Belkacem, P.J. Ellis, J.I. Kapusta, Phys. Rev. C 64 (2001) 035202.[15] K. Kajantie, J. Kapusta, L. McLerran, A. Mekjian, Phys. Rev. D 34 (1986) 2746.[16] C. Gale, J. Kapusta, Phys. Rev. C 35 (1987) 2107; C. Gale, J. Kapusta, Phys. Rev. C 38 (1988) 2659.[17] C. Song, V. Koch, Phys. Rev. C 54 (1996) 3218.[18] C.A. Dominguez, M. Loewe, J.S. Rozowsky, Phys. Lett. B 335 (1994) 506.[19] M. Le Bellac, Thermal Field Theory, Cambridge Univ. Press, Cambridge, 1996.[20] J. Bijnens, G. Colangelo, P. Talavera, JHEP 9805 (1998) 014.[21] K. Hagiwara, et al., Phys. Rev. D 66 (2002) 010001.[22] J.I. Kapusta, Finite-Temperature Field Theory, Cambridge Univ. Press, Cambridge, 1989.[23] P. Gerber, H. Leutwyler, Nucl. Phys. B 321 (1989) 387; J.R. Peláez, Phys. Rev. D 66 (2002) 096007.[24] 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.[25] M. Dey, V.L. Eletsky, B.L. Ioffe, Phys. Lett. B 252 (1990) 620.[26] H.A. Weldon, Ann. Phys. 214 (1992) 152.[27] T.N. Truong, Phys. Rev. Lett. 61 (1988) 2526; 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 47 (1993) 4883; A. Dobado, J.R. Peláez, Phys. Rev. D 56 (1997) 3057. [28] A. Dobado, M.J. Herrero, J.R. Peláez, E. Ruiz Morales, Phys. Rev. D 62 (2000) 055011.[29] S.D. Protopopescu, et al., Phys. Rev. D 7 (1973) 1279; P. Estabrooks, A.D. Martin, Nucl. Phys. B 79 (1974) 301.[30] R.R. Akhmetshin, et al., CMD-2 Collaboration, Phys. Lett. B 578 (2004) 285; S. Anderson, et al., CLEO Collaboration, Phys. Rev. D 61 (2000) 112002.[31] T. Hannah, Phys. Rev. D 55 (1997) 5613.[32] J. Adams, et al., STAR Collaboration, Phys. Rev. Lett. 92 (2004) 092301. [33] R.D. Pisarski, Phys. Rev. D 52 (1995) R3773.[34] S. Pratt, W. Bauer, Phys. Rev. C 68 (2003) 064905. NO © 2004 Elsevier B.V. All rights reserved.Work supported from the Spanish CICYT projects, FPA2000 0956, PB98-0782 and BFM2000-1326. NO Spanish CICYT DS Docta Complutense RD 17 may 2024