Low-lying state investigations of odd-A Mn isotopes around N = 28

Abstract

Based on the systematic studies for low-lying states of the odd-A 49−57Mn isotopes, the ground-states inversion and the rotational properties of a ground-state-based sequence are revealed and discussed. The energy levels of low-lying states and electromagnetic moments in odd-A 49−57Mn isotopes have been well reproduced in shell-model calculations, and the above phenomena could be understood with obviously different occupation numbers in proton orbitals such as π f 7/2 and π p 3/2, which changes similarly with the obtained quadrupole deformation in covariant density functional theory (CDFT). After considering the coupling of collective rotation and intrinsic single-particle motion, the available experimental magnetic moments in 53Mn and adjacent nuclei can be well explained with CDFT. The present calculations suggest that the 5/2− and 7/2− states in 53Mn are formed by π5/2−[312] and π7/2−[303] respectively. Together with the behavior of levels, this provides proofs for the level sequences of low-lying states in 53Mn distinct from the K π = 5/2− rotational band in 49Cr and other odd-A Mn isotopes.