Electromagnetic transitions and radiative capture in the generator-coordinate method

Abstract

A microscopic study of the electromagnetic properties of nuclei and of radiative capture reactions is presented in the framework of the generator-coordinate method. Fully antisymmetrized wave functions, with a correct asymptotic behaviour, are used to calculate matrix elements of the multipole operators in the long-wavelength approximation. Centre-of-mass corrections are shown to vanish exactly in this approximation. Approximate forms are derived when antisymmetrization is negligible. The E2, E3 and M2 transitions in 20Ne and the 16(α, γ) 20Ne radiative capture reaction are treated as illustrative examples.