Investigation of meson-meson interaction

TL;DR

This study uses the quark delocalization color screening model to analyze meson-meson interactions in light four-quark systems, revealing patterns of attraction and repulsion among different meson pairs and implications for resonance states.

Contribution

It provides a detailed analysis of meson-meson interactions within the QDCSM framework, highlighting the roles of various interaction terms and delocalization effects.

Findings

Vector meson interactions are mostly attractive

Pseudoscalar-pseudoscalar interactions are always repulsive

Some channels like IJ=00 ππ are attractive, others like IJ=02 φφ are repulsive

Abstract

In the framework of the quark delocalization color screening model, we investigate the meson-meson interaction in the fully light four-quark system . The calculation of the effective potentials of all the $S-$wave states shows that for most states the interaction between two vector mesons is attractive; the one between a pseudoscalar meson and a vector meson is repulsive or weakly attractive; and the one between two pseudoscalar mesons is always repulsive. However, there is still some exception. The interaction of the $IJ=00$ $\pi\pi$ channel is attractive, while the one of the $IJ=02$ $\phi\phi$ channel is repulsive. So it is difficult to use the $S-$wave $\phi\phi$ state to explain the $X(2239)$ at present calculation. The $S-$wave $\rho\rho$ states are more likely to be resonance states, which are worthy of investigating in future work. The study of the contribution of each interaction term shows that both the one-gluon exchange and the kinetic energy interaction are important in the interaction between two mesons. The study of the variation of the delocalization parameter indicates that the contribution of the kinetic energy relates to the intermediate-range attraction mechanism in QDCSM, which is achieved by the quark delocalization.