Temperature-dependent cross sections for πφ and ρφ nonresonant reactions in hadronic matter

  • With a potential of which the large-distance part reflects lattice gauge results and of which the short-distance part is given by one gluon exchange plus perturbative one- and two-loop corrections, the Schrödinger equation brings about temperature dependence of meson masses and mesonic quark-antiquark relative-motion wave functions. The ground-state meson masses drop with increasing temperature. The transition amplitude calculated from the potential, the meson masses and the wave functions gives temperature-dependent cross sections for the five nonresonant reactions πφ→KK* (or K*K), πφ→K*K*,ρφ→KK,ρφ→KK*(orK*K) and ρφ→K*K*. The numerical temperature-dependent cross sections are parametrized. The peak cross section of either πφ→KK* or πφ→K*K* increases from T=0 to T=0.75Tc and decreases with further increasing temperature. The cross section for ρφ→KK,ρφ→KK* and ρφ→K*K* has a decreasing trend while the temperature increases from 0.75Tc.
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  • [1] E917 collaboration. Phys. Rev. C, 2004, 69: 054901[2] PHENIX collaboration. Phys. Rev. C, 2005, 72: 014903[3] STAR collaboration. Phys. Rev. C, 2009, 79: 064903[4] Rafelski J, Müller B. Phys. Rev. Lett., 1982, 48: 1066[5] Shor A. Phys. Rev. Lett., 1985, 54: 1122[6] MA Y G. J. Phys. G, 2006, 32: S373; CHEN J H et al. Phys. Rev. C, 2006, 74: 064902[7] Molncutear D, Voloshin S A. Phys. Rev. Lett., 2003, 91: 092301[8] PHENIX collaboration. Phys. Rev. Lett., 2003, 91: 182301[9] Yamamoto E. (STAR collaboration). Nucl. Phys. A, 2003, 715: 466[10] NA60 collaboration. Eur. Phys. J. C, 2009, 64: 1[11] PHENIX collaboration. Phys. Rev. C, 2011, 83: 024909[12] LI Y Q, XU X M, GE H J. Eur. Phys. J. A, 2011, 47: 65[13] BI P Z, Rafelski J. Phys. Lett. B, 1991, 262: 485[14] Ko C M, Seibert D. Phys. Rev. C, 1994, 49: 2198[15] Haglin K. Nucl. Phys. A, 1995, 584: 719; Smith W, Haglin K L. Phys. Rev. C, 1998, 57: 1449[16] Alvarez-Ruso L, Koch V. Phys. Rev. C, 2002, 65: 054901[17] LI Y Q, XU X M. Nucl. Phys. A, 2007, 794: 210[18] Barnes T, Swanson E S. Phys. Rev. D, 1992, 46: 131; Swanson E S. Ann. Phys. (N.Y.), 1992, 220: 73[19] ZHANG Y P, XU X M, GE H J. Nucl. Phys. A, 2010, 832: 112[20] Buchmüller W, Tye S-H H. Phys. Rev. D, 1981, 24: 132[21] Karsch F, Laermann E, Peikert A. Nucl. Phys. B, 2001, 605: 579[22] WONG C Y. Phys. Rev. C, 2002, 65: 034902[23] Digal S, Petreczky P, Satz H. Phys. Lett. B, 2001, 514: 57[24] XU X M. Nucl. Phys. A, 2002, 697: 825[25] Mott N F, Massey H S W. The Theory of Atomic Collisions. Oxford: Clarendon Press, 1965[26] Barnes T, Black N, Swanson E S. Phys. Rev. C, 2001, 63: 025204[27] WONG C Y, Crater H W. Phys. Rev. C, 2001, 63: 044907[28] Weinberg S. Phys. Rev. Lett., 1990, 65: 1177[29] Brown G E, Lee C H, Rho M. Phys. Rev. C, 2006, 74: 024906
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LUO Zhi-Feng XU Xiao-Ming and Temperature-dependent cross sections for πφ and ρφ nonresonant reactions in hadronic matter[J]. Chinese Physics C, 2012, 36(9): 836-845. doi: 10.1088/1674-1137/36/9/008
LUO Zhi-Feng XU Xiao-Ming and Temperature-dependent cross sections for πφ and ρφ nonresonant reactions in hadronic matter[J]. Chinese Physics C, 2012, 36(9): 836-845.  doi: 10.1088/1674-1137/36/9/008 shu
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Received: 2011-11-15
Revised: 1900-01-01
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Temperature-dependent cross sections for πφ and ρφ nonresonant reactions in hadronic matter

Abstract: With a potential of which the large-distance part reflects lattice gauge results and of which the short-distance part is given by one gluon exchange plus perturbative one- and two-loop corrections, the Schrödinger equation brings about temperature dependence of meson masses and mesonic quark-antiquark relative-motion wave functions. The ground-state meson masses drop with increasing temperature. The transition amplitude calculated from the potential, the meson masses and the wave functions gives temperature-dependent cross sections for the five nonresonant reactions πφ→KK* (or K*K), πφ→K*K*,ρφ→KK,ρφ→KK*(orK*K) and ρφ→K*K*. The numerical temperature-dependent cross sections are parametrized. The peak cross section of either πφ→KK* or πφ→K*K* increases from T=0 to T=0.75Tc and decreases with further increasing temperature. The cross section for ρφ→KK,ρφ→KK* and ρφ→K*K* has a decreasing trend while the temperature increases from 0.75Tc.

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