Gauge symmetry breaking in the adiabatic self-consistent collective coordinate method

Abstract

We study gauge symmetry breaking by adiabatic approximation in the adiabatic self-consistent collective coordinate (ASCC) method. In the previous study, we found that the gauge symmetry of the equation of collective submanifold is (partially) broken by its decomposition into the three moving-frame equations depending on the order of $p$. In this study, we discuss the gauge symmetry breaking by the truncation of the adiabatic expansion. A particular emphasis is placed on the symmetry under the gauge transformations which are not point transformations. We also discuss a possible version of the ASCC method including the higher-order operators which can keep the gauge symmetry.

26 pages, no figure

References in corpus (8)

• 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
• Shape transition and fluctuation in neutron-rich Cr isotopes around N = 40
• Shape changes and large-amplitude collective dynamics in neutron-rich Cr isotopes
• Microscopic Derivation of Collective Hamiltonian by Means of the Adiabatic Self-Consistent Collective Coordinate Method
• Triaxial quadrupole deformation dynamics in sd-shell nuclei around 26Mg
• Microscopic derivation of the Bohr-Mottelson collective Hamiltonian and its application to quadrupole shape dynamics
• Gauge Symmetry in the Large-amplitude Collective Motion of Superfluid Nuclei