Number conserving particle-hole RPA for superfluid nuclei

Abstract

We present a number conserving particle-hole RPA theory for collective excitations in the transition from normal to superfluid nuclei. The method derives from an RPA theory developed long ago in quantum chemistry using antisymmetric geminal powers, or equivalently number projected HFB states, as reference states. We show within a minimal model of pairing plus monopole interactions that the number conserving particle-hole RPA excitations evolve smoothly across the superfluid phase transition close to the exact results, contrary to particle-hole RPA in the normal phase and quasiparticle RPA in the superfluid phase that require a change of basis at the broken symmetry point. The new formalism can be applied in a straightforward manner to study particle-hole excitations on top of a number projected HFB state.

arXiv commentUnder revision in PLB

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Cited by in corpus (7)

• Future of Nuclear Fission Theory
• Symmetry restoration in mean-field approaches
• Geminal-Based Configuration Interaction
• Correlating the Antisymmetrized Geminal Power Wave Function
• Geminal replacement models based on AGP
• Equation of Motion Method to strongly correlated Fermi systems and Extended RPA approaches
• A digital quantum simulation of the Agassi model