On $X(3872)$ production in high energy heavy ion collisions

Abstract

We have determined the production cross sections of the $X(3872)$ state in the reactions $\bar{D}D\to \pi X$, ${\bar{D}}^{\ast }D\to \pi X$ and ${\bar{D}}^{\ast }{D}^{\ast }\to \pi X$, information which is useful for studies of the $X(3872)$ meson abundance in heavy ion collisions. We construct a formalism considering $X$ as a molecular bound state of ${\bar{D}}^0{D}^{\ast 0}-\text{c.c}$, $D^{-}{D}^{\ast +}-\text{c.c}$ and $D_s^{-}{D}_s^{\ast +}-\text{c.c}$. To obtain the amplitudes related to these processes we have made use of effective field Lagrangians. The evaluation of the cross section of the processes involving $D^{\ast }$ meson(s) requires the calculation of an anomalous vertex, $X{\bar{D}}^{\ast }{D}^{\ast }$, which has been obtained by considering triangular loops motivated by the molecular nature of $X(3872)$. Proceeding in this way, we have evaluated the cross section for the reaction ${\bar{D}}^{\ast }D\to \pi X$, and find that the diagrams involving the $X{\bar{D}}^{\ast }{D}^{\ast }$ vertex give a large contribution. Encouraged by this finding we estimate the $X{\bar{D}}^{\ast }{D}^{\ast }$ coupling, which turns out to be $1.95\pm 0.22$. We then use it to obtain the cross section for the reaction ${\bar{D}}^{\ast }{D}^{\ast }\to \pi X$ and find that, in this case too, the $X{\bar{D}}^{\ast }{D}^{\ast }$ vertex is relevant. We also discuss the role of the charged components of $X$ in the determination of the production cross sections.

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• Production of exotic hadrons in $pp$ and nuclear collisions
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• Interactions of the doubly charmed state $T_{cc}^{+}$ with a hadronic medium
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• $X_J(2900)$ states in a hot hadronic medium
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• Production of multi-charmed hadrons by recombination in heavy ion collisions
• X(3872) in a hot pion bath
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• Heating triangle singularities in heavy ion collisions
• On the two-body decay processes of the predicted three-body $K^{\ast }(4307)$ resonance
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• Production and absorption of exotic bottomonium-like states in high energy heavy ion collisions
• A potential approach to the $X(3872)$ thermal behavior
• Hadronic medium effects on $Z_{cs}(3985{)}^{-}$ production in heavy-ion collisions
• The $D^{\ast }/D$ ratio in heavy ion collisions
• $Z_b(10610)$ in a hadronic medium
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• Production of the $X(3872)$ state via the $B^0\to K^{\ast 0}X(3872)$ decay