Are the $X$(4160) and $X$(3915) charmonium states?

Abstract

Inspired by the newly observed $X$(4160) and $X$(3915) states, we analyze the mass spectrum of these states in different quark models and calculate their strong decay widths by the ${}^3{P}_0$ model. According to the mass spectrum of charmonium states predicted by the potential model, the states ${\chi }_0(3^3{P}_0),{\chi }_1(3^3{P}_1),{\eta }_{c2}(2^1{D}_2),{\eta }_c(4^1{S}_0)$ all can be candidates for the $X$(4160). However, only the decay width of the state ${\eta }_{c2}(2^1{D}_2)$ in our calculation is in good agreement with the data reported by Belle and the decay of ${\eta }_{c2}(2^1{D}_2)\to D\bar{D}$, which is not seen in experiment, is also forbidden. Therefore, it is reasonable to interpret the charmonium state ${\eta }_{c2}(2^1{D}_2)$ as the state X(4160). For the state X(3915), although the mass of ${\chi }_0(2^3{P}_0)$ is compatible with the experimental value, the calculated strong decay width is much larger than experimental data. Hence, the assignment of X(3915) to charmonium state ${\chi }_0(2^3{P}_0)$ is disfavored in our calculation.

9 pages, 8 figures

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• Dynamical study of the $X$(3915) as a molecular $D^{\ast }\overline{D^{\ast }}$ state in a quark model
• The Strong Decays of X(3940) and X(4160)
• Analysis of the charmed mesons $D_1^{\ast }(2680)$, $D_3^{\ast }(2760)$ and $D_2^{\ast }(3000)$
• Charmonium spectrum with a Dirac potential model in the momentum space
• Angular momentum coefficients for meson strong decay and unquenched quark models
• The Exclusive Decay of Upsilon into $h_c$, the $X(3940)$ and $X(4160)$
• Analysis of the $X(3842)$ as a D-wave charmonium meson
• Understanding close-lying exotic charmonia states within QCD sum rules
• Is $Y(4008)$ possibly a $1^{--}$ $\psi (3^3{S}_1)$ state?
• A quark model study of strong decays of $X\left(3915\right)$
• Why X(3915) is so narrow as a ${\chi }_{c0}(2P)$ state
• Gluon-pair-Creation Production Model of Strong Interaction Vertices
• Dynamical mixing between $2^3{S}_1$ and $1^3{D}_1$ charmed mesons
• Hadronic production of $D(2550)$, $D^{\ast }(2600)$, $D(2750)$, $D_1^{\ast }(2760)$ and $D_3^{\ast }(2760)$
• The Production of $X(3940)$ and $X(4160)$ in $B_c$ decays
• Analysis of the ${\mathbf{e}}^{+}{\mathbf{e}}^{-}\to \mathbf{J}/\mathbf{\psi D}\bar{\mathbf{D}}$ reaction close to the threshold concerning claims of a ${\chi }_{c0}(2P)$ state