New form of nuclear potential for unified description of heavy-ion scattering and fusion cross sections at extreme sub-barrier energies

As an alternative to the conventional Woods-Saxon (WS) form, a new form of phenomenological nuclear potential is adopted to undertake the task of explaining the measured results cross sections of elastic (σel) and fusion (σfus) in a unified way within the framework of optical potential (OP) model of scattering. In the OP model analysis of scattering of two nuclei of mass number A1 and A2 and proton number Z1 and Z2, the OP in the entrance channel is described by the sum V(r) = VN(r)+ VC(r) + Vl(r) of complex nuclear term (VN(r)), Coulomb term (VC(r)) and centrifugal term (Vl(r)) for different partial wave l. New form of nuclear potential for unified description of heavy-ion scattering and fusion cross sections at extreme sub-barrier energies is discussed in the paper