Study on charmonium(-like) mesons within a diabatic approach

Abstract

In this work, we study the charmonium(-like) spectrum below 4.1 GeV using the diabatic approach, which offers a unified description of conventional and unconventional heavy meson states. Compared to previous studies, we consider a more realistic $c\bar c$ potential with including the spin-dependent interactions, which allows us to obtain more states and get more insights on the charmonium spectrum. Based on our calculation, we obtain the masses of the charmonium spectrum which align with the experimental data well. We also present the probabilities of finding various components, i.e. $c\bar c$ or meson-meson pair, in those states. Our results support the arguments that the $\chi_{c1}(3872)$, $\psi(4040)$ and $\chi_{c2}(3930)$ have significant molecular components. In addition, our calculations show that the $\chi_{c0}(3860)$ and $\psi(3770)$ can be looked as the candidates for the charmonium states $\chi_{c0}(2P)$ and $\psi(1D)$, respectively.