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

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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… Click to show full 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.

Keywords: phase approximation; stationary phase; low lying; pairing models; path integral; excited states

Journal Title: Physical Review C
Year Published: 2018

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