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.

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

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Cited by in corpus (14)

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• Two-Body Strong Decay of the 2P and 3P Charmonium states
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• The ground states of hidden-charm tetraquarks and their radial excitations
• The possible assignments of the scalar $K_0^{\ast }(1950)$ and $K_0^{\ast }(2130)$ within the ${}^3{P}_0$ model
• Revisiting the assignment of $1^3{D}_1$ meson nonet
• Strangeonium spectrum with the screening effects and interpretation of $h_1(1911)$ and $X(2300)$ observed by BESIII