RT Journal Article T1 Chiral symmetry and light resonances in hot and dense matter A1 Cabrera, Daniel A1 Fernández Fraile, Daniel A1 Gómez Nicola, Ángel AB We present a study of the pi pi scattering amplitude in the sigma and rho channels at finite temperature and nuclear density within a chiral unitary framework. Meson resonances are dynamically generated in our approach, which allows us to analyze the behavior of their associated scattering poles when the system is driven towards chiral-symmetry restoration. Medium effects are incorporated in three ways: (a) by thermal corrections of the unitarized scattering amplitudes, (b) by finite nuclear-density effects associated to a renormalization of the pion decay constant, and complementarily (c) by extending our calculation of the scalar-isoscalar channel to account for finite nuclear-density and temperature effects in a microscopic many-body implementation of pion dynamics. Our results are discussed in connection with several phenomenological aspects relevant for nuclear-matter and heavy-ion collision experiments, such as rho mass scaling versus broadening from dilepton spectra and chiral restoration signals in the sigma channel. We also elaborate on the molecular nature of pi pi resonances. PB Springer SN 1434-6044 YR 2009 FD 2009-06 LK https://hdl.handle.net/20.500.14352/44578 UL https://hdl.handle.net/20.500.14352/44578 LA eng NO 1. G. Agakichiev et al. (CERES Collaboration), Eur. Phys. J. C 41, 475 (2005) 2. R. Arnaldi et al. (NA60 Collaboration), Phys. Rev. Lett. 96, 162302 (2006) 3. G.E. Brown, M. Rho, Phys. Rev. Lett. 66, 2720 (1991) 4. M. Harada, C. Sasaki, Phys. Rev. D 74, 114006 (2006) 5. M. Herrmann, B.L. Friman, W. Noerenberg, Nucl. Phys. A 545, 267C (1992) 6. R.D. Pisarski, Phys. Rev. D 52, 3773 (1995) 7. W. Peters, M. Post, H. Lenske, S. Leupold, U. Mosel, Nucl. Phys. A 632, 109 (1998) 8. R. Rapp, G. Chanfray, J. Wambach, Nucl. Phys. A 617, 472 (1997) 9. R. Rapp, J. Wambach, Adv. Nucl. Phys. 25, 1 (2000) 10. D. Cabrera, E. Oset, M.J. Vicente Vacas, Nucl. Phys. A 705, 90 (2002) 11. A. Dobado, A. Gomez Nicola, F.J. Llanes-Estrada, J.R. Pelaez, Phys. Rev. C 66, 055201 (2002)12. D. Fernández-Fraile, A. Gómez Nicola, E.T. Herruzo, Phys. Rev. D 76, 085020 (2007) 13. J. Adams et al. (STAR Collaboration), Phys. Rev. Lett. 92, 092301 (2004) 14. M. Naruki et al., Phys. Rev. Lett. 96, 092301 (2006) 15. G.E. Brown, M. Rho, Phys. Rep. 363, 85 (2002) 16. T. Hatsuda, S.H. Lee, H. Shiomi, Phys. Rev. C 52, 3364 (1995), arXiv:nucl-th/9505005 17. R. Nasseripour et al. (CLAS Collaboration), Phys. Rev. Lett. 99, 262302 (2007) 18. M. Urban, M. Buballa, R. Rapp, J. Wambach, Nucl. Phys. A 641, 433 (1998), arXiv:nucl-th/9806030 19. T. Hatsuda, T. Kunihiro, Phys. Rev. Lett. 55, 158 (1985) 20. W.M. Yao et al. (Particle Data Group), J. Phys. G 33, 1 (2006) 21. M.G. Alford, R.L. Jaffe, Nucl. Phys. B 578, 367 (2000) 22. J.R. Pelaez, Phys. Rev. Lett. 92, 102001 (2004) 23. F. Bonutti et al. (CHAOS Collaboration), Nucl. Phys. A 677, 213 (2000) 24. A. Starostin et al. (Crystal Ball Collaboration), Phys. Rev. Lett. 85, 5539 (2000) 25. J.G. Messchendorp et al., Phys. Rev. Lett. 89, 222302 (2002) 26. H.C. Chiang, E. Oset, M.J. Vicente-Vacas, Nucl. Phys. A 644, 77 (1998), arXiv:nucl- th/9712047 27. D. Davesne, Y.J. Zhang, G. Chanfray, Phys. Rev. C 62, 024604 (2000) 28. D. Jido, T. Hatsuda, T. Kunihiro, Phys. Rev. D 63, 011901(R) (2000) 29. L. Roca, E. Oset, M.J. Vicente Vacas, Phys. Lett. B 541, 77 (2002) 30. A. Patkos, Z. Szep, P. Szepfalusy, Phys. Rev. D 68, 047701 (2003) 31. D. Cabrera, E. Oset, M.J. Vicente Vacas, Phys. Rev. C 72, 025207 (2005) 32. Y. Hidaka, O. Morimatsu, T. Nishikawa, M. Ohtani, Phys. Rev. D 70, 076001 (2004) 33. P. Schuck, W. Norenberg, G. Chanfray, Z. Phys. A 330, 119 (1988) 34. S. Weinberg, Physica A 96, 327 (1979) 35. J. Gasser, H. Leutwyler, Ann. Phys. 158, 142 (1984) 36. V. Bernard, N. Kaiser, U.G. Meissner, Int. J. Mod. Phys. E 4, 193 (1995) 37. A. Ramos, E. Oset, Nucl. Phys. A 671, 481 (2000) 38. L. Tolos, D. Cabrera, A. Ramos, arXiv:0807.2947 [nucl-th] 39. A. Dobado, M.J. Herrero, T.N. Truong, Phys. Lett. B 235, 134 (1990) 40. A. Dobado, J.R. Peláez, Phys. Rev. D 47, 4883 (1993) 41. A. Dobado, J.R. Peláez, Phys. Rev. D 56, 3057 (1997) 42. J.A. Oller, E. Oset, J.R. Peláez, Phys. Rev. Lett. 80, 3452 (1998) 43. J. Nieves, E. Ruiz Arriola, Phys. Lett. B 455, 30 (1999) 44. J.A. Oller, U.G. Meissner, Phys. Lett. B 500, 263 (2001) 45. A. Gómez Nicola, J.R. Peláez, Phys. Rev. D 65, 054009 (2002) 46. A. Gómez Nicola, J.R. Peláez, G. Rios, Phys. Rev. D 77, 056006 (2008), arXiv:0712.2763 [hep- ph] 47. A. Gómez Nicola, F.J. Llanes-Estrada, J.R. Pelaez, Phys. Lett. B 550, 55 (2002), arXiv:hep- ph/0203134 48. A. Gómez Nicola, F.J. LLanes-Estrada, J.R. Peláez, Phys. Lett. B 606, 351 (2005) 49. G.E. Brown, M. Rho, arXiv:nucl-th/0509001, nucl-th/0509002 50. A. Dobado, J.R. Peláez, Phys. Rev. D 59, 034004 (1998) 51. M. Gell-Mann, R.J. Oakes, B. Renner, Phys. Rev. 175, 2195 (1998) 52. V. Thorsson, A. Wirzba, Nucl. Phys. A 589, 633 (1995) 53. U.G. Meissner, J.A. Oller, A. Wirzba, Ann. Phys. 297, 27 (2002) 54. G.E. Brown, M. Rho, Phys. Rep. 396, 1 (2004) 55. S. Leupold, U. Mosel, Phys. Rev. C 58, 2939 (1998), arXiv:nuclth/9805024 56. D. Morgan, M.R. Pennington, Phys. Lett. B 258, 444 (1991). [Erratum-ibid. B 269, 477 (1991)] 57. D. Morgan, Nucl. Phys. A 543, 632 (1992) 58. C. Hanhart, J.R. Pelaez, G. Rios, Phys. Rev. Lett. 100, 152001 (2008) 59. J.A. Oller, E. Oset, Nucl. Phys. A 620, 438 (1997). [Erratum-ibid. A 652, 407 (1999)], arXiv:hep-ph/9702314 60. J.A. Oller, E. Oset, J.R. Pelaez, Phys. Rev. D 59, 074001 (1999). [Erratum-ibid. D 60 (1999 ERRAT,D75,099903.2007) 099906], arXiv:hep-ph/9804209 61. J.A. Oller, E. Oset, J.R. Peláez, Phys. Rev. Lett. 80, 3452 (1998), arXiv:hep-ph/9803242 62. J.A. Oller, E. Oset, Phys. Rev. D 60, 074023 (1999), arXiv:hep-ph/ 9809337 63. J.A. Oller, U.G. Meissner, Phys. Lett. B 500, 263 (2001), arXiv: hep-ph/0011146 64. E. Oset, H. Toki, W. Weise, Phys. Rep. 83, 281 (1982) 65. M. Urban, M. Buballa, R. Rapp, J. Wambach, Nucl. Phys. A 673, 357 (2000), arXiv:nucl-th/9910004 NO © Springer-Verlag / Società Italiana di Fisica 2008.International Conference on Hard and Electromagnetic Probes of High-Energy Nuclear Collisions (3. 2008. Isla de La Toja, España).We acknowledge financial support from Spanish research projects FPA2004-02602, FPA2005-02327, PR34/07-1856-BSCH, UCM-CAM 910309/08, FPA2007-29115-E and from the F.P.I. Programme (BES-2005-6726). D.C. wishes to thank support from the “Juan de la Cierva” Programme (Ministerio de Educación y Ciencia, Spain) NO Spanish research projects NO Ministerio de Educacion y Ciencia (Spain) NO UCM-CAM DS Docta Complutense RD 16 may 2024