Characteristic Feature of Self-Consistent Mean-Field in Level Crossing Region

Abstract

A shape change of the self-consistent mean-field induced by a configuration change is discussed within the conventional constrained Hartree-Fock (CHF) theory. It is stressed that a single-particle level crossing dynamics should be treated carefully, because the shape of the mean-field in such a finite many-body system as the nucleus strongly changes depending on its configuration. This situation is clearly shown by applying an adiabatic assumption, where the most energetically favorable single-particle states are assumed to be occupied. The excited HF states and the continuously-connected potential energy curves are given by applying the configuration dictated CHF method. The effect of pairing correlation is discussed in the level crossing region. Triaxial deformed results in our Hartree-Fock-Bogoliubov (HFB) calculation with Gogny force nicely reproduce the available experimental data of Ge isotopes. From our numerical calculation, it is concluded that the CHFB state is more fragile than the CHF state in the level crossing region.

arXiv comment25 pages, 6 figures and 2 tables

References in corpus (7)

• Time-odd components in the mean field of rotating superdeformed nuclei
• Additivity of Quadrupole Moments in Superdeformed Bands: Single-Particle Motion at Extreme Conditions
• Point symmetries in the Hartree-Fock approach: Densities, shapes and currents
• Superdeformed bands in 32S and neighboring nuclei predicted within the Hartree-Fock method
• Point symmetries in the Hartree-Fock approach: Symmetry-breaking schemes
• Nonaxial octupole deformations in light N=Z nuclei at high spins
• Diabatic and Adiabatic Collective Motion in a Model Pairing System

Cited by in corpus (10)

• Multi chiral-doublets in one single nucleus
• Triaxiality and shape coexistence in Germanium isotopes
• The influence of tensor force on the microscopic heavy-ion interaction potential
• Magnetic moments of ${}^{33}$Mg in time-odd relativistic mean field approach
• Influence of the tensor interaction on heavy-ion fusion cross sections
• Microscopic study on fusion reactions ${}^{40,48}\mathrm{Ca}+{}^{78}\mathrm{Ni}$ and the effect of tensor force
• Applicability of self-consistent mean-field theory
• Triaxial nuclear models and the outer crust of nonaccreting cold neutron stars
• Effects of the tensor force on low-energy heavy-ion fusion reactions: A mini review
• To what extent does the self-consistent mean-field exist?