$\bar{D}^{0}D^{0*}$ $(D^{0}\bar{D}^{0*})$ System in QCD-Improved Many Body Potential

TL;DR

This paper investigates the $ar{D}^{0}D^{0*}$ system using a QCD-improved many-body potential, exploring how parameter adjustments affect the pole position related to the exotic meson $X(3872)$ and its implications for quark-gluon plasma studies.

Contribution

It introduces a QCD-based improvement to a quark model for the four-body $ar{D}^{0}D^{0*}$ system and explores parameter effects on the $X(3872)$ resonance.

Findings

The pole position can be shifted to 3872 MeV with parameter $I_0$.

Parameter $I_0$ influences the cross sections for $ar{D}^{0}D^{0*}$ interactions.

Model provides insights into exotic meson structure and QGP interactions.

Abstract

For a system of current interest (composed of charm, anticharm quarks and a pair of light ones), we show trends in phenomenological implications of QCD-based improvements to a simple quark model treatment. We employ resonating group method to render this difficult four-body problem manageable. We use a quadratic confinement so as to be able to improve beyond the Born approximation. We report the position of the pole corresponding to $\bar{D}^{0}D^{0*}$ molecule for the best fit of a model parameter to the relevant QCD simulations. We point out the interesting possibility that the pole can be shifted to $3872$ MeV by introducing another parameter $I_{0}$ that changes the strength of the interaction in this one component of $X(3872)$. The revised value of this second parameter can guide future trends in modeling of the full exotic meson $X(3872)$. We also report the changes with $I_{0}$ in the $S$-wave spin averaged cross sections for $\bar{D}^{0}D^{0*}\longrightarrow\omega J/\psi$ and $\bar{D}^{0}D^{0*}\longrightarrow\rho J/\psi$. These cross sections are important regarding the study of QGP (quark gluon plasma).