Signatures of shape phase transitions in krypton isotopes based on relativistic energy density functionals

Spectroscopic properties that characterize the shape phase transitions in krypton isotopes with the mass A approximate to 80 region are investigated within the framework of the nuclear density functional theory. Triaxial quadrupole constrained self-consistent mean-field calculations that employ relativistic energy density functionals and a pairing interaction are carried out for the even-even nuclei Kr76-86. The spectroscopic properties are computed by solving the triaxial quadrupole collective Hamiltonian, with the ingredients, i.e., the deformation-dependent moments of inertia and mass parameters, and the collective potential, determined by using the SCMF solutions as microscopic inputs. Systematic behaviors of the SCMF potential energy surfaces, the corresponding low-energy spectra, electric quadrupole and monopole transition probabilities, and the fluctuations in the triaxial quadrupole deformations indicate evolution of the underlying nuclear structure as functions of the neutron number, that is characterized by a considerable degree of shape mixing. A special attention is paid to the transitional nucleus Kr-82, which has been recently identified experimentally as an empirical realization of the E(5) critical-point symmetry.

Automated summary

This paper investigates the spectroscopic properties that characterize the shape phase transitions in krypton isotopes with the mass A approximately 80. The results indicate that the nuclear structure evolves and exhibits a considerable degree of shape mixing as the neutron number changes. The transitional nucleus Kr-82 is identified as an empirical realization of the E(5) critical-point symmetry.