Canonical interpretation of the $X(4140)$ state within the ${}^3{P}_0$ model

Abstract

Recently, the LHCb Collaboration has confirmed the state $X(4140)$, with a mass $M=4146.5\pm 4.5_{-2.8}^{+4.6}$~MeV, and a much larger width $\Gamma =83\pm 21_{-14}^{+21}$~MeV than the previous experimental measurements, which has confused the understanding of its nature. We will investigate the possibility of the ${\chi }_{c1}(3P)$ interpretation for the $X(4140)$, considering the mass spectra predicted in the quark model, and the strong decay properties within the ${}^3{P}_0$ model. We also predict the strong decay properties of the charmonium states ${\chi }_{c0}(3P)$ and ${\chi }_{c2}(3P)$. Our results show that the $X(4140)$ state with the small width given in PDG can be explained as the charmonium state ${\chi }_{c1}(3P)$ in the ${}^3{P}_0$ model, and high precision measurement of the width of the $X(4140)$ is crucial to understand its nature.

Comments: 9 pages, 3 figures, the version to be published in EPJC