The Strong Decays of X(3940) and X(4160)

Abstract

The new mesons $X(3940)$ and $X(4160)$ have been found by Belle Collaboration in the processes $e^{+}{e}^{-}\to J/\psi D^{(\ast )}{\bar{D}}^{(\ast )}$. Considering $X(3940)$ and $X(4160)$ as ${\eta }_c(3S)$ and ${\eta }_c(4S)$ states, the two-body open charm OZI-allowed strong decay of ${\eta }_c(3S)$ and ${\eta }_c(4S)$ are studied by the improved Bethe-Salpeter method combine with the ${}^3{P}_0$ model. The strong decay width of ${\eta }_c(3S)$ is ${\Gamma }_{{\eta }_c(3S)}=(33.5_{-15.3}^{+18.4})$ MeV, which is closed to the result of $X(3940)$, therefore, ${\eta }_c(3S)$ is a good candidate of $X(3940)$. The strong decay width of ${\eta }_c(4S)$ is ${\Gamma }_{{\eta }_c(4S)}=(69.9_{-21.1}^{+22.4})$ MeV, considering the errors of the results, it's closed to the lower limit of $X(4160)$. But the ratio of the decay width $\frac{\Gamma (D{\bar{D}}^{\ast })}{\Gamma (D^{\ast }{\bar{D}}^{\ast })}$ of ${\eta }_c(4S)$ is larger than the experimental data of $X(4160)$. According to the above analysis, ${\eta }_c(4S)$ is not the candidate of $X(4160)$, and more investigations of $X(4160)$ is needed.

14 pages, 4 figures. arXiv admin note: text overlap with arXiv:1605.09091

References in corpus (13)

• Big-Bang Nucleosynthesis
• Higher Charmonia and X,Y,Z states with Screened Potential
• Search for new charmonium states in the processes e+ e- --> J/psi D(*) D(*) at sqrt{s} ~ 10.6 GeV
• Newly observed D_{sJ}(3040) and the radial excitations of P-wave charmed-strange mesons
• B- to light-meson transition form factors
• Spectrum for Heavy Quankonia and Mixture of the Relevant Wave Functions within the Framework of Bethe-Salpeter Equation
• Decay constants of $P$-wave mesons
• Radiative E1 decays of X(3872)
• Strong D* -> D+pi and B* -> B+pi couplings
• Interpretations for the X(4160) observed in the double charm production at B factories
• Prediction of a missing higher charmonium around 4.26 GeV in $J/\psi$ family
• The process $\epem\to J/ ψX(3940)$ at $\sqrt{s}=10.6$ GeV in the framework of light cone formalism
• Radially Excited States of ${\eta }_c$

Cited by in corpus (6)

• Pentaquark and Tetraquark states
• Two-Body Strong Decay of the 2P and 3P Charmonium states
• Charmonium: Conventional and $XYZ$ States in a Relativistic Screened Potential Model
• Strong decays of excited $2^{+}$ charmed mesons
• Spectroscopy of charmonium-like mesons, heavy-light mesons with charm, AdS/QCD, and configurational entropy
• Spectroscopy and Decay Properties of Excited Charmonium States