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

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 $D^{\ast }\overline{D^{\ast }}$ state in the Bhaduri, Cohler, and Nogami quark model by the Gaussian Expansion Method. Due to the color coupling, the bound state of $D^{\ast }\overline{D^{\ast }}$ with $J^{PC}=0^{++}$ is found, which is well consonant with the experimental data of the $X$(3915). The bound state of $B^{\ast }\overline{B^{\ast }}$ with $J^{PC}=0^{++}$ and $2^{++}$ are also predicted in this work.

Comments: 5 pages, 2 figures