A 2-D algebraic model for first 0+ excited states in light nuclei

Abstract

To compute the excitation energy ΔE of the first 0+ excited monopole states in the light nuclei, the previously-derived microscopic, unified, uni-axial Bohr-Mottelson rotational-model Schroedinger equation is transformed to the nuclear radius. For isotropic harmonic oscillator meanfield potential, the transformed equation is solved algebraically using its underlying su(1,1) dynamical Lie algebra. ΔE is predicted to be lower than, but having the same trend with the mass number as, the experimental values for all the light nuclei but the lightest three. This discrepancy is attributed to the neglected features.