Mixing of the coexisting shapes in the ground states of <sup>74</sup> Ge and <sup>74</sup> Kr
A. Ait Ben Mennana, Radi Benjedi, R. Budaca, P. Buganu, Y. El Bassem, A. Lahbas, M. Oulne
Abstract
Abstract Ground state shape coexistence with mixing is suggested in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>A</mml:mi> <mml:mspace width="0.50em"/> <mml:mo>=</mml:mo> <mml:mspace width="0.50em"/> <mml:mn>74</mml:mn> </mml:math> nuclei, based on empirical evidences. The claim is demonstrated by the investigation of deformation properties for 74 Ge and 74 Kr nuclei within the phenomenological Bohr-Mottelson model, having as input the experimental collective energy states, as well with Covariant Density Functional Theory based on microscopic structural information. The results of the two approaches are shown to be compatible in what concerns the presence of coexisting shapes in the ground state of the considered nuclei, while the mixing characteristics are deduced from the phenomenologically calculated collective states.