2020/10/15 by M. Imran Jamil, Jamil, M. Imran, S. M. Sohail Gilani +7
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph
paper · pdf · doi:10.48550/arxiv.2010.07568
13 pages, 5 figures. Note: This manuscript will be published in Chinese Physics C
arxiv created 2020/10/15 · arxiv updated 2020/10/16
We study the scattering of J/Ψ-J/Ψ mesons using Quadratic and Cornell potentials in our tetraquark (cccc) system. The system's wavefunction in the restricted gluonic basis is written by utilizing adiabatic approximation and Hamiltonian is used via quark potential model. Resonating group technique is used to get the integral equations which are solved to get the unknown inter-cluster dependence of the total wavefunction of our tetraquark system. T-Matrix elements are calculated from the solutions and eventually the scattering cross sections are obtained using the two potentials respectively. We compare these cross sections and find that the magnitude of scattering cross sections of Quadratic potential are higher than Cornell potential.