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For a system of current interest (composed of charm, anticharm quarks and apair of light ones), we show trends in phenomenological implications ofQCD-based improvements to a simple quark model treatment. We employ resonatinggroup method to render this difficult four-body problem manageable. We use aquadratic confinement so as to be able to improve beyond the Bornapproximation. We report the position of the pole corresponding to$\bar{D}^{0}D^{0*}$ molecule for the best fit of a model parameter to therelevant QCD simulations. We point out the interesting possibility that thepole can be shifted to $3872$ MeV by introducing another parameter $I_{0}$ thatchanges the strength of the interaction in this one component of $X(3872)$. Therevised value of this second parameter can guide future trends in modeling ofthe 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 areimportant regarding the study of QGP (quark gluon plasma).

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

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