$D{\bar{D}}^{\ast }$ scattering and ${\chi }_{c1}(3872)$ in nuclear matter

Abstract

We study the behaviour of the ${\chi }_{c1}(3872)$, also known as $X(3872)$, in dense nuclear matter. We begin from a picture in vacuum of the $X(3872)$ as a purely molecular $(D{\bar{D}}^{\ast }-c.c.)$ state, generated as a bound state from a heavy-quark symmetry leading-order interaction between the charmed mesons, and analyze the $D{\bar{D}}^{\ast }$ scattering $T-$matrix ($T_{D{\bar{D}}^{\ast }}$) inside of the medium. Next, we consider also mixed-molecular scenarios and, in all cases, we determine the corresponding $X(3872)$ spectral function and the $D{\bar{D}}^{\ast }$ amplitude, with the mesons embedded in the dense environment. We find important nuclear corrections for $T_{D{\bar{D}}^{\ast }}$ and the pole position of the resonance, and discuss the dependence of these results on the $D{\bar{D}}^{\ast }$ molecular component in the $X(3872)$ wave-function. These predictions could be tested in the finite-density regime that can be accessed in the future CBM and PANDA experiments at FAIR.

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Cited by in corpus (9)

• The production of doubly charmed exotic hadrons in heavy ion collisions
• Compositeness of S-wave weakly-bound states from next-to-leading order Weinberg's relations
• $X(3872)$, $X(4014)$, and their bottom partners at finite temperature
• Charge-conjugation asymmetry and molecular content: the $D_{s0}^{\ast }(2317{)}^{\pm }$ in matter
• Probing the structure of $X(3872)$ in photoproduction
• In-medium mass shift of two-flavored heavy mesons, $B_c$, $B_c^{\ast }$, $B_s$, $B_s^{\ast }$, $D_s$ and $D_s^{\ast }$
• On the determination of the $D$ meson width in the nuclear medium with the transparency ratio
• An alternative way to decipher the nature of the doubly charmed tetraquark $T_{cc}(3875{)}^{+}$: its antiparticle $T_{\bar{c}\bar{c}}(3875{)}^{-}$ photoproduction off nuclei near threshold
• Medium modifications of $1P$-wave charmonia ${\chi }_{cJ}(1P)$ in cold nuclear matter