Emission processes in a self–consistent field

Abstract We present a microscopic description of cluster emission processes within the Cluster–Hartree–Fock self-consistent field theory. The starting point is a Woods–Saxon mean field with spin–orbit and Coulomb terms. Pairing is treated through standard Bardeen–Cooper–Schrieffer quasiparticles. A two-body interaction is introduced as a density-dependent Wigner force having a Gaussian shape with a center of mass (com) correction located in a region of low nuclear density slightly beyond the geometrical contact radius of a system comprised from a nucleus and a surface cluster. We show that such a description adequately reproduces the ground state shape of a spherical nucleus while the surface correction enhances the radial tail of single particle orbitals, thus allowing for a good description of the decay width for unstable systems.