$D\bar{D}^*$ scattering and $\chi_{c1}(3872)$ in nuclear matter

TL;DR

This paper investigates how the exotic meson X(3872), modeled as a D D*- molecular state, behaves in dense nuclear matter, revealing significant medium modifications that could be tested in future experiments.

Contribution

It provides a detailed analysis of the X(3872) in nuclear matter, including the effects on its spectral function and scattering amplitude, considering different molecular scenarios.

Findings

Nuclear corrections significantly affect the D D* scattering amplitude.

The pole position of X(3872) shifts in dense matter.

Results depend on the molecular component of X(3872).

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 $(D \bar D^*-c.c.)$ state, generated as a bound state from a heavy-quark symmetry leading-order interaction between the charmed mesons, and analyze the $D \bar D^*$ scattering $T-$matrix ($T_{D \bar D^*}$) 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 $D \bar D^*$ amplitude, with the mesons embedded in the dense environment. We find important nuclear corrections for $T_{D \bar D^*}$ and the pole position of the resonance, and discuss the dependence of these results on the $D \bar D^*$ 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.