On the robustness of sub-shell closures: A high angular momentum analysis of the titanium isotopes

Abstract

The potential sub-shell closures N=32 and N=34 are analyzed at high spins in the titanium isotopes within the generalized beyond mean field theory considering triaxial deformations and the angular frequency as generator coordinates together with the particle number and the angular momentum conservation. A good description of bulk properties, high angular momenta spectra and transition probabilities is obtained. The outcome at high spin in these nuclei is consistent with the magic number character of N=32 but not of N=34. Keywords: Titanium isotopes, New magic numbers, N=32, 34 sub-shell closures, GCM, Beyond mean field theories