Cross sections for meson-meson nonresonant reactions

TL;DR

This paper investigates meson-meson nonresonant reactions using a QCD-derived potential, calculating phase shifts and cross sections to understand interaction strengths and reaction dynamics in mesonic matter.

Contribution

It provides a detailed QCD-based analysis of meson-meson nonresonant reactions, including phase shifts and cross sections, highlighting the importance of specific reactions and interaction strengths.

Findings

Mesonic interactions with K and K* can be stronger than with pions and rhos.

The I=3/2 π K* → ρ K reaction is the most significant endothermic nonresonant process.

Rho and K* creation cross sections can surpass their absorption counterparts.

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 \pi\pi and I=3/2 K \pi 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 pion, rho, 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 pions and rhos and the reaction of I=3/2 \pi K^* \to \rho K is most important among the endothermic nonresonant reactions. By the quark-interchange mechanism we can offer \sqrt s-dependences of phi absorption cross sections in collisions with pion and rho and relevant average cross sections what are very small for the reaction of I=1 \pi \phi \to K^* K^* and remarkably large for the reaction of I=1 \rho \phi \to K^* K^*. It is found from the \sqrt s-dependences of cross sections that rho and K^* creation cross sections can be larger than their absorption cross sections, respectively.