Gauge Symmetry in the Large-amplitude Collective Motion of Superfluid Nuclei

Abstract

The adiabatic self-consistent collective coordinate (ASCC) method is a practical method for the description of large-amplitude collective motion in atomic nuclei with superfluidity and an advanced version of the adiabatic time-dependent Hartree-Fock-Bogoliubov theory. We investigate the gauge symmetry in the ASCC method on the basis of the theory of constrained systems. The gauge symmetry in the ASCC method is originated from the constraint on the particle number in the collective Hamiltonian, and it is partially broken by the adiabatic expansion. The validity of the adiabatic expansion under the general gauge transformation is also discussed.

20 pages. Accepted for publication in Prog. Theor. Exp. Phys

References in corpus (6)

• 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
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Cited by in corpus (3)

• Time-dependent density-functional description of nuclear dynamics
• Microscopic derivation of the Bohr-Mottelson collective Hamiltonian and its application to quadrupole shape dynamics
• Gauge symmetry breaking in the adiabatic self-consistent collective coordinate method