Abstract
Meson–meson nonresonant reactions governed by the quark-interchange mechanism are studied in a potential that is derived from QCD. S-wave elastic phase shifts for I = 2 ππ and I = 3 / 2 Kπ scattering are obtained with wave functions determined by the central spin-independent term of the potential. The reactions include inelastic scatterings of two mesons in the ground-state pseudoscalar octet and the ground-state vector nonet. Cross sections for reactions involving π, ρ, K and K * indicate that mesonic interactions in matter consisting of only K and K * can be stronger than mesonic interactions in matter consisting of only π and ρ and the reaction of I = 3 / 2 π K * → ρ K is most important among the endothermic nonresonant reactions. By the quark-interchange mechanism we can offer s -dependences of ϕ absorption cross sections in collisions with π and ρ and relevant average cross sections what are very small for the reaction of I = 1 π ϕ → K * K * and remarkably large for the reaction of I = 1 ρ ϕ → K * K * . It is found from the s -dependences of cross sections that ρ and K * creation cross sections can be larger than their absorption cross sections, respectively.
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