Anisotropy of favoured alpha transitions producing even-even deformed nuclei

Abstract

The anisotropy in favoured alpha transitions which produce even-even deformed nuclei is discussed. A simple, Gamow-like model which takes into account the quadrupole deformation of the product nucleus has been formulated to calculate the alpha decay half-life. It is assumed that before tunneling into a purely Coulomb potential barrier the two-body system oscillates isotropically, thus giving rise to an equivalent, average preferential polar direction θ0 (referrred to the symmetry axis of the ellipsoidal shape of the product nucleus) for alpha emission in favoured alpha transitions of even-even nuclei.