BCS-pairing and nuclear vibrations

TL;DR

This paper explores how BCS pairing influences low-frequency quadrupole vibrations in nuclei, analyzing the full five-dimensional shape dynamics and their connection to superfluid properties.

Contribution

It introduces a comprehensive five-dimensional quadrupole model including rotations, revealing the link between BCS pairing and collective nuclear vibrations.

Findings

BCS pairing affects inertial masses in nuclear vibrations

Full shape and rotational dynamics are essential for understanding surface vibrations

Connections between superfluidity and collective motion are demonstrated

Abstract

On the basis of time-dependent mean-field picture, we discuss the nature of the low-frequency quadrupole vibrations from small-amplitude to large-amplitude regimes as representatives of surface shape vibrations of a superfluid droplet (nucleus). We consider full five-dimensional quadrupole dynamics including three-dimensional rotations restoring the broken symmetries as well as axially symmetric and asymmetric shape fluctuations. We show that the intimate connections between the BCS pairing and collective vibrations reveal through the inertial masses governing their collective kinetic energies.