Microscopic study of spin cut-off factors of nuclear level densities

Abstract

Level densities and spin cut-off factors have been investigated within the microscopic approach based on the BCS Hamiltonian. In particular, the spin cut-off parameters have been calculated at neutron binding energies over a large range of nuclear mass using the BCS theory. The spin cut-off parameters ${\ensuremath{\sigma}}^{2}(E)$ have also been obtained from the Gilbert and Cameron expression and from rigid body calculations. The results were compared with their corresponding macroscopic values. It was found that the values of ${\ensuremath{\sigma}}^{2}(E)$ did not increase smoothly with $A$ as expected based on macroscopic theory. Instead, the values of ${\ensuremath{\sigma}}^{2}(E)$ show structure reflecting the angular momentum of the shell model orbitals near the Fermi energy.