Estimates for X(4350) Decays from the Effective Lagrangian Approach

Abstract

The strong and electromagnetic decays of $X(4350)$ with quantum numbers $J^P=0^{++}$ and $2^{++}$ have been studied by using the effective Lagrangian approach. The coupling constant between $X(4350)$ and $D_s^{\ast }{D}_{s0}^{\ast }$ is determined with the help of the compositeness condition which means that $X(4350)$ is a bound state of $D_s^{\ast }{D}_{s0}^{\ast }$. Other coupling constants applied in the calculation are determined phenomenologically. Our numerical results show that, using the present data within the present model, the possibility that $X(4350)$ is a $D_s^{\ast }{D}_{s0}^{\ast }$ molecule can not be ruled out.

15 pages, 4 eps figures

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• Tetraquark state candidates: $Y(4140)$, $Y(4274)$ and $X(4350)$
• Charmonium states in QCD-inspired quark potential model using Gaussian expansion method
• Photoproduction of Z(4430) through mesonic Regge trajectories exchange
• Study of $X_c(3250)$ as a $D_0^{\ast }(2400)N$ molecular state
• Analysis of the Y(4274) with QCD sum rules
• New molecular candidates: X(1910), X(2200), and X(2350)
• Charmonium: Conventional and $XYZ$ States in a Relativistic Screened Potential Model
• Search for $Z_{s1}^{+}$ and $Z_{s2}^{+}$ strangeonium-like structures
• A QCD sum rules calculation of the $J/\psi D_s^{\ast }{D}_s$ strong coupling constant
• Possible $P$- wave $D_s{\bar{D}}_{s0}(2317)$ molecular state $Y^{{}^{\prime }}(4274)$
• QCD sum rules study of X(4350)
• Interactions of the ${\chi }_{c1}(4274)$ state with light mesons