Quark model description of the tetraquark state X(3872) in a relativistic constituent quark model with infrared confinement

TL;DR

This paper models the X(3872) meson as a tetraquark using a relativistic quark model with infrared confinement, calculating decay widths and analyzing its role in Jpsi dissociation.

Contribution

It introduces a relativistic constituent quark model with infrared confinement to describe the X(3872) as a tetraquark, providing decay width calculations consistent with experimental data.

Findings

Decay widths align with experimental observations

X(3872) can be described as a tetraquark in this model

Potential impact on Jpsi-dissociation cross section

Abstract

We explore the consequences of treating the X(3872) meson as a tetraquark bound state. As dynamical framework we employ a relativistic constituent quark model which includes infrared confinement in an effective way. We calculate the decay widths of the observed channels X-> Jpsi+2\pi (3\pi) and X-> \bar D0+D0+\pi0 via the intermediate off--shell states X-> Jpsi+\rho(\omega) and X-> \bar D + D*. For reasonable values of the size parameter of the X(3872) we find consistency with the available experimental data. We also discuss the possible impact of the X(3872) in a s-channel dominance description of the Jpsi-dissociation cross section.