Nuclear states projected from a pair condensate

Abstract

Atomic nuclei exhibit deformation, pairing correlations, and rotational symmetries. To meet these competing demands in a computationally tractable formalism, we revisit the use of general pair condensates with good particle number as a trial wave function for even-even nuclei. After minimizing the energy of the condensate, we project out states with good angular momentum with a fast projection technique, allowing for general triaxial deformations. To show applicability, we present example calculations from pair condensates in several model spaces, and compare against projected Hartree-Fock and full configuration-interaction shell model calculations. This approach successfully generates spherical, vibrational and rotational spectra, demonstrating potential for modeling medium- to heavy-mass nuclei.

8 figures

References in corpus (9)

• Current Status of r-Process Nucleosynthesis
• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• Evidence for Multiple Chiral Doublet Bands in ${}^{133}$Ce
• Alpha Cluster Formation and Decay in Quartetting Wave Function Approach
• A monopole-optimized effective interaction for tin isotopes
• Projection on particle number and angular momentum: Example of triaxial Bogoliubov quasiparticle states
• Nucleons pair shell model in M-scheme
• Projection of angular momentum via linear algebra
• Exact sum rules with approximate ground states