ρJ/Ψ scattering in an improved many-body potential

We calculate the cross sections for the processes ρJ/ψ→D${}^0$$\overline{D}$${}^0$, ρJ/ψ→D${}^0$$\overline{D}$${}^{0\ast }$ (D${}^{0\ast }$$\overline{D}$${}^0$) and ρJ/ψ→D${}^{0\ast }$$\overline{D}$${}^{0\ast }$ by modifying the usual sum of two-body interaction through a four-body form factor whose parameters are fitted to the relevant lattice QCD simulations. We use the formalism of the resonating group method, with the Born approximation utilized to decouple the resulting integral equations. Cross sections with using the realistic Cornell potential for each of the two-body interactions in the Hamiltonian are reported and are compared to those obtained through the quadratic potential. It is found that using four-body form factor, there is a significant suppression in the cross sections as compared to the more popular sum of two-body interaction. We find that total dissociation cross section of J/ψ by ρ meson is of the order of 0.1 mb for the most reliable case of Cornell potential with four-body form factor.