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

• Received 20 April 2021
• Accepted 12 August 2021

DOI:https://doi.org/10.1103/PhysRevC.104.035203

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society