Cross sections for inelastic meson-meson scattering

Abstract

We study two kinds of inelastic meson-meson scattering. The first kind is inelastic 2-to-2 meson-meson scattering that is governed by quark interchange as well as quark-antiquark annihilation and creation. Cross-section formulas are provided to get unpolarized cross sections for $\pi K\to \rho K^{\ast }$ for $I=1/2$, $\pi K^{\ast }\to \rho K$ for $I=1/2$, $\pi K^{\ast }\to \rho K^{\ast }$ for $I=1/2$, and $\rho K\to \rho K^{\ast }$ for $I=1/2$. Near threshold, quark interchange dominates the reactions near the critical temperature. The second kind is 2-to-1 meson-meson scattering with the process that a quark in an initial meson and an antiquark in another initial meson annihilate into a gluon and subsequently the gluon is absorbed by the other antiquark or quark. The transition potential for the process is derived. Four Feynman diagrams at tree level contribute to the 2-to-1 meson-meson scattering. Starting from the $S$-matrix element, the isospin-averaged unpolarized cross section with transition amplitudes is derived. The cross sections for $\pi \pi \to \rho$ and $\pi K\to K^{\ast }$ decrease with increasing temperature.

32 pages, 6 figures, 3 tables

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• Cross sections for inelastic meson-meson scattering via quark-antiquark annihilation
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Cited by in corpus (6)

• Selected strong decays of pentaquark State $P_c(4312)$ in a chiral constituent quark model
• Cross sections for 2-to-1 meson-meson scattering
• Inelastic Meson-Meson Scattering in Hadronic Matter
• Cross Sections for Inelastic 2-to-2 Meson-Meson Scattering in Hadronic Matter
• Cross sections for 2-to-3 meson-meson scattering
• Applicability of Hydrodynamics in Hadronic Phase of Heavy-Ion Collisions