Disclosing $D^{\ast }{\bar{D}}^{\ast }$ molecular states in the $B_c^{-}\to {\pi }^{-}J/\psi \omega$ decay

Abstract

We study the $B_c^{-}\to {\pi }^{-}J/\psi \omega$ and $B_c^{-}\to {\pi }^{-}{D}^{\ast }{\bar{D}}^{\ast }$ reactions and show that they are related by the presence of two resonances, the $X(3940)$ and $X(3930)$, that are of molecular nature and couple most strongly to $D^{\ast }{\bar{D}}^{\ast }$, but also to $J/\psi \omega$. Because of that, in the $J/\psi \omega$ mass distribution we find a cusp with large strength at the $D^{\ast }{\bar{D}}^{\ast }$ threshold and predict the ratio of strengths between the peak of the cusp and the maximum of the $D^{\ast }{\bar{D}}^{\ast }$ distribution close to $D^{\ast }{\bar{D}}^{\ast }$ threshold, which are distinct features of the molecular nature of these two resonances.

arXiv comment13 pages, 6 figures

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Cited by in corpus (7)

• Pentaquark and Tetraquark states
• Role of scalar $a_0(980)$ in the single Cabibbo Suppressed process $D^{+}\to {\pi }^{+}{\pi }^0\eta$
• The resonances $X(4140)$, $X(4160)$, and $P_{cs}(4459)$ in the decay of ${\Lambda }_b\to J/\psi \Lambda \varphi$
• The $B^{+}\to J/\psi \omega K^{+}$ reaction and $D^{\ast }{\bar{D}}^{\ast }$ molecular states
• $\Lambda (1405)$ production in the process ${\chi }_{c0}(1P)\to \bar{\Lambda }\Sigma \pi$
• Role of the scalar $f_0(980)$ in the process $D_s^{+}\to {\pi }^{+}{\pi }^0{\pi }^0$
• The $X(4140)$ and $X(4160)$ resonances in the $e^{+}{e}^{-}\to \gamma J/\psi \varphi$ reaction