Search for the $α$ + core structure in the ground state bands of $22 \leq Z \leq 42$ even-even nuclei

Abstract

A systematic analysis of the α + core structure is performed in the ground state bands of even-even nuclei of the 22 ≤ Z ≤ 42 region in terms of the Local Potential Model. The α + core interaction is described by the nuclear potential of (1 + Gaussian)×(W.S. + W.S. 3 ) shape with 2 free parameters. Properties such as energy levels, reduced α-widths, B(E2) transition rates and rms charge radii are calculated and compared with experimental data. A good agreement with the experimental data is obtained in general, even for the nuclei without the α + {doubly closed shell core} configuration. The analysis of the selected nuclei in the 22 ≤ Z ≤ 42 region indicates that 44 Ti and 94 Mo have a greater α-clustering degree in comparison with their respective neighboring nuclei of this set. In addition, the model points to the existence of nuclei without the α + {doubly closed shell core} configuration with a significant α-clustering degree compared to 44 Ti, 60 Zn, and 94 Mo. The study shows that the α + core approach is satisfactorily applicable to nuclei other than those with αclustering above double-shell closures.