D̄ ⁰ D ⁰ * (D ⁰ D̄ ⁰ *) system in QCD-improved many body potential

Abstract

For a system of current interest (composed of charm, anticharm and a pair of light quarks), we show trends in phenomenological implications of QCD-based improvements to a simple quark model treatment. We employ a 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 the D0 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 I0 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 I0 in the S-wave spin averaged cross sections for D0 D 0 * −→ ωJ/ψ and D0 D 0 * −→ ρJ/ψ. These cross sections are important regarding the study of QGP (quark gluon plasma).