Speaker
Description
In this research, we investigate the spectra and dynamical properties of charmonium S-states in the presence of large extra dimensions of space. From the experimental point of view, this study was motivated on the one hand by the fact that the search for extra dimensions of space with CMS and ATLAS detectors of LHC has recently experienced exciting progress.On the other hand, we were stimulated by the recent advances in the observation of new states of cc quark. From the view point of mathematics, we were motivated to carry out an analytical study of the problem using the Laplace transform method. Indeed, contrary to other methods, this one makes it possible to easily obtain the analytical solutions of the Schrodinger equation with complex terms in the potential such as spin-dependent forces. Using the latter method, the N-dimensional radial Schrodinger equation is solved for the Cornell potential which is extended to include a harmonic oscillator term and the spin-spin interaction term. The energy eigenvalues have been obtained in the N-dimensional space, as well as the corresponding wave functions. The present theoretical results are employed to analyze few properties of charmonium S-waves up to 4S state. We evaluated the masses of S-states of cc meson, hyperfine splittings, pseudoscalar and vector decay constants, Leptonic, digamma and digluons decay widths, and magnetic dipole transitions. The effect of the dimensionality number is studied on the mass spectrum, as well as the dynamic properties of charmonium states. We find that, the masses of cc quark increases with increasing dimensional number. In addition, the present model reproduces well the dynamical properties of charmonium states, which are found to be in good agreement with experimental data and improved in comparison with previous theoretical investigations. A discussion is also made on the possible observation of some missing states of cc. To complete our study, the Regge trajectories of pseudoscalar and vector states of charmonium, and the predicted radial probability densities were plotted for ground and 2 radially excited S-waves.
