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Effects of Time-Odd Components in Mean Field on Large Amplitude Collective Dynamics
Author(s) -
Nobuo Hinohara,
Takashi Nakatsukasa,
Masayuki Matsuo,
K. Matsuyanagi
Publication year - 2006
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.115.567
Subject(s) - physics , anharmonicity , mean field theory , pairing , quadrupole , adiabatic process , amplitude , field (mathematics) , collective motion , inertia , excitation , symmetry (geometry) , classical mechanics , atomic physics , quantum mechanics , geometry , superconductivity , mathematics , pure mathematics
We apply the adiabatic self-consistent collective coordinate (ASCC) method tothe multi-O(4) model and study collective mass (inertia function) of themany-body tunneling motion. Comparing results with those of the exactdiagonalization, we show that the ASCC method succeeds in describing gradualchange of excitation spectra from an anharmonic vibration about the sphericalshape to a doublet pattern associated with a deformed double-well potentialpossessing the oblate-prolate symmetry. The collective mass is significantlyincreased by the quadrupole-pairing contribution to time-odd components of themoving mean field. In contrast, the cranking (Inglis-Belyaev) mass based on theconstrained mean field, which ignores the time-odd components, is smaller thanthe ASCC mass and fails to reproduce the exact spectra.Comment: 32 pages, 9 figure

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