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Chinese Physics C> 2012, Vol. 36> Issue(9) : 836-845 DOI: 10.1088/1674-1137/36/9/008

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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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

  • Received Date: 2011-11-15
  • Accepted Date: 1900-01-01
  • Available Online: 2012-09-05

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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