Dynamical study of the $X$(3915) as a molecular $D^*\bar{D^*}$ state in a quark model

TL;DR

This study investigates the nature of the $X$(3915) particle, proposing it as a molecular $D^*ar{D^*}$ state using a quark model, and predicts similar bound states in the bottom sector.

Contribution

It introduces a detailed quark model calculation considering color couplings to identify the $X$(3915) as a molecular state and predicts new bound states in the bottom sector.

Findings

Identifies $X$(3915) as a $D^*ar{D^*}$ bound state with $J^{PC}=0^{++}$

Predicts $B^*ar{B^*}$ bound states with $J^{PC}=0^{++}$ and $2^{++}$

Supports the molecular interpretation of $X$(3915) based on energy calculations

Abstract

Considering the coupling of color $1 \otimes 1$ and $8 \otimes 8$ structures, we calculate the energy of the newly observed $X$(3915) as $S-$wave $D^*\bar{D^*}$ state in the Bhaduri, Cohler, and Nogami quark model by the Gaussian Expansion Method. Due to the color coupling, the bound state of $D^*\bar{D^*}$ with $J^{PC}=0^{++}$ is found, which is well consonant with the experimental data of the $X$(3915). The bound state of $B^*\bar{B^*}$ with $J^{PC}=0^{++}$ and $2^{++}$ are also predicted in this work.