Spreading width converted from optical model for α incident scattering

Abstract

We convert the optical potential in the α + ⁴⁰Ca elastic scattering, which is determined so as to reproduce the differential cross section precisely, into the spreading width. This spreading width represents the decay width of the α + ⁴⁰Ca resonance into the more complicated states. The conversion of the optical potential into the spreading width is achieved by the method of the absorbing boundary condition, and it is compared with the escape width of the α emission. The dissociation strength of ⁴⁴Ti into the α + ⁴⁰Ca continuum states is calculated to see the effect of the spreading width more clearly. We also estimate the upper value of the decay width into the compound nuclear state, which is a part of the spreading width, on the basis of the formula similar to the strength function originally used in the low-energy neutron scattering.