Shape evolution and coexistence in neutron-deficient Nd and Sm nuclei

Abstract

The evolution of shapes and low-energy shape coexistence is analyzed in neutron-deficient Nd and Sm nuclei, using a five-dimensional quadrupole collective Hamiltonian (5DCH). Deformation energy surfaces, calculated with the relativistic energy density functional PC-PK1 and a separable finite-range pairing interaction, exhibit a transition from spherical shapes near $N=80$, to $\gamma -$soft shapes, and to prolate deformed minima in lighter isotopes. The corresponding 5DCH model calculation, based on the self-consistent mean-field potentials, reproduces the empirical isotopic trend of characteristic collective observables, and predicts significantly different deformations for the first two $0^{+}$ states in the $N=74$ isotones ${}^{134}$Nd and ${}^{136}$Sm. In addition to bands based on the triaxial $\gamma -$soft ground state, in excellent agreement with data, the occurrence of a low-energy rotational band is predicted, built on the prolate deformed ($\beta \sim 0.4$) excited state $0_2^{+}$.

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Cited by in corpus (8)

• Deformed relativistic Hartree-Bogoliubov theory in continuum with point coupling functional: examples of even-even Nd isotopes
• Shape coexistence in even-even nuclei: A theoretical overview
• Microscopic description of octupole collective excitations near $N=56$ and $N=88$
• Coupling of shape and pairing vibrations in a collective Hamiltonian based on nuclear energy density functionals
• B(E2) anomaly and triaxial deformation in the interacting boson model
• Giant dipole resonance and shape evolution in Nd isotopes within TDHF method
• Signatures of shape phase transitions in krypton isotopes based on relativistic energy density functionals
• Shape transition and coexistence in Te isotopes studied with the quadrupole collective Hamiltonian based on a relativistic energy density functional