Low-lying collective excited states in non-integrable pairing models based on stationary-phase approximation to path integral

Abstract

For a description of large-amplitude collective motion associated with nuclear pairing, requantization of time-dependent mean-field dynamics is performed using the stationary-phase approximation (SPA) to the path integral. We overcome the difficulty of the SPA, which is known to be applicable to integrable systems only, by developing a requantization approach combining the SPA with the adiabatic self-consistent collective coordinate method (ASCC+SPA). We apply the ASCC+SPA to multi-level pairing models, which are non-integrable systems, to study the nuclear pairing dynamics. The ASCC+SPA gives a reasonable description of low-lying excited $0^{+}$ states in non-integrable pairing systems.

arXiv comment13 pages, 12 figures

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Cited by in corpus (2)

• Microscopic description of pair transfer between two superfluid systems (II): a quantum mixing of Time-Dependent Hartree-Fock Bogolyubov trajectories
• Nuclear structure and reaction with quantum shape fluctuation