Publication: Finite temperature pion vector form factors in chiral perturbation theory
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2005-01-27
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Elsevier Science Bv
Abstract
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.
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© 2004 Elsevier B.V. All rights reserved.
Work supported from the Spanish CICYT projects, FPA2000 0956, PB98-0782 and BFM2000-1326.
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[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.