Application of the gradient method to Hartree-Fock-Bogoliubov theory

Abstract

A computer code is presented for solving the equations of Hartree-Fock-Bogoliubov (HFB) theory by the gradient method, motivated by the need for efficient and robust codes to calculate the configurations required by extensions of HFB such as the generator coordinate method. The code is organized with a separation between the parts that are specific to the details of the Hamiltonian and the parts that are generic to the gradient method. This permits total flexibility in choosing the symmetries to be imposed on the HFB solutions. The code solves for both even and odd particle number ground states, the choice determined by the input data stream. Application is made to the nuclei in the $sd$-shell using the USDB shell-model Hamiltonian.

20 pages, 5 figures, 3 tables

References in corpus (3)

• Mixed-Spin Pairing Condensates in Heavy Nuclei
• Hartree-Fock-Bogoliubov Theory of Polarized Fermi Systems
• Effective shell model Hamiltonians from density functional theory: quadrupolar and pairing correlations

Cited by in corpus (6)

• Dynamic versus static fission paths with realistic interactions
• Variational Principle of Bogoliubov and Generalized Mean Fields in Many-Particle Interacting Systems
• Octupole deformation properties of actinide isotopes within a mean field approach
• Ground state octupole correlation energies with effective forces
• Microscopic description of fission in neutron-rich plutonium isotopes with the Gogny-D1M energy density functional
• Reflection-asymmetric nuclear deformations within the Density Functional Theory