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

• Main Authors: Jamil, M. Imran, Masud, Bilal, Akram, Faisal, Gilani, S. M. Sohail
• Format: Journal Article
• Language: English
• Published: 11.07.2011
• Subjects: Physics - High Energy Physics - Phenomenology
• DOI: 10.48550/arxiv.1107.2083

Chin. Phys. C, 2017, 41(1): 013103 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).