Interplay of pairing and multipole interactions in a simple model

Abstract

The interplay of pairing and other interactions is addressed in this work using a simple single-j model. We show that enhancements in pairing correlations observed through studies of the spectra of deformed systems, moments of inertia, changes in transitional multipole amplitudes, and direct calculations of the pairing component in the wave function, indicate that even without explicit matrix elements responsible for pairing, a paired state can still appear from the kinematic coupling of pairing to deformation and from other geometrical restrictions that are of extreme importance in mesoscopic systems. Furthermore, we demonstrate that macroscopic transitions such as oblate to prolate shape changes can lead to strong dynamic enhancements of pairing correlations. In this work we emphasize that the pairing condensate has an important dynamic and kinematic effect on other residual interactions.

39 pages, 8 figures

References in corpus (2)

• Exact solution of the nuclear pairing problem
• Geometric chaoticity leads to ordered spectra for randomly interacting fermions

Cited by in corpus (8)

• Pairing in nuclear systems: from neutron stars to finite nuclei
• Nuclear Structure, Random Interactions and Mesoscopic Physics
• Nuclear pairing: new perspectives
• Emergence of symmetry from random n-body interactions
• The nuclear pairing problem: new perspectives
• Manifestation of three-body forces in f7/2-shell nuclei
• Quadrupole collectivity in random two-body ensembles
• Order generated by random many-body dynamics