Effects of Time-Odd Components in Mean Field on Large Amplitude Collective Dynamics

Abstract

We apply the adiabatic self-consistent collective coordinate (ASCC) method to the multi-O(4) model and study collective mass (inertia function) of the many-body tunneling motion. Comparing results with those of the exact diagonalization, we show that the ASCC method succeeds in describing gradual change of excitation spectra from an anharmonic vibration about the spherical shape to a doublet pattern associated with a deformed double-well potential possessing the oblate-prolate symmetry. The collective mass is significantly increased by the quadrupole-pairing contribution to time-odd components of the moving mean field. In contrast, the cranking (Inglis-Belyaev) mass based on the constrained mean field, which ignores the time-odd components, is smaller than the ASCC mass and fails to reproduce the exact spectra.

arXiv comment32 pages, 9 figures

Cited by in corpus (9)

• One-quasiparticle States in the Nuclear Energy Density Functional Theory
• Time-odd mean fields in covariant density functional theory I. Non-rotating systems
• Microscopic description of large-amplitude shape-mixing dynamics with inertial functions derived in local quasiparticle random-phase approximation
• The tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin
• Microscopic description of oblate-prolate shape mixing in proton-rich Se isotopes
• Shape mixing dynamics in the low-lying states of proton-rich Kr isotopes
• Density functional approaches to collective phenomena in nuclei: Time-dependent density-functional theory for perturbative and non-perturbative nuclear dynamics
• Skyrme-Hartree-Fock-Bogoliubov mass models on a 3D mesh: II. Time-reversal symmetry breaking
• Microscopic derivation of the Bohr-Mottelson collective Hamiltonian and its application to quadrupole shape dynamics