Abstract
A formal relation connecting microscopic matrix elements of the generator coordinate method with effective nucleus-nucleus potentials of a Schrödinger-type equation of relative motion has been used to derive effective local energy-independent angular-momentum-dependent α-nucleus potentials from microscopically calculated angular-momentum-projected energy surfaces. Application to the target nuclei 40, 42, 44, 48 Ca 16, 18O, 14C and 28Si gives α-nucleus potentials which depend smoothly on angular momentum and on the mass of the target nucleus. At small separations, the α-nucleus interaction is dominated by the requirement of orthogonality of the relative motion wave function to Pauli-forbidden states of relative motion. In all cases studied the effective local potentials reproduce the elastic scattering phase shifts of a full microscopic GCM calculation remarkably well.
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