Gamov states in the generator coordinate method

Abstract

Starting from the generator coordinate theory, a method is developed for calculating e-decay widths within a microscopic dynamical theory. Antisymmetrization is taken into account exactly between all nucleons of the decaying system. For illustration, the method is applied to the e-decay of 8Be and Z~

Off-shell effects in the energy dependence of the 7Be(p, γ)8B astrophysical S factor

“…Putting (1) into the eight-body Schrödinger equation, which contains the Minnesota nucleon-nucleon interaction [31], we arrive at an equation for the unknown relative motion functions χ i l 2 (ρ 2 ). These relative motion functions are determined from a variational Siegert method [32] for the 2 + bound groundstate of 8 B, and from the Kohn-Hulthén variational method [33] for the 1 − , 2 − , and 3 − 7 Be+p scattering states [31].…”

Comparison of quantised ATDHF and GCM theory with application to the12C+20Ne system

“…quantised ATDHF. Both approaches are approved in realistic applications to heavy-ion systems (Friedrich et a1 1974, Fiebig and Weiguny 1976, Goeke et al 1983, Provoost et al 1984. They allow for the evaluation of the motion by means of a collective Hamiltonian in terms of mass parameters, collective potentials, quantum corrections and the centrifugal force.…”