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.

arXiv comment20 pages, 5 figures, 3 tables

References in corpus (9)

• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• Axially Deformed Solution of the Skyrme-Hartree-Fock-Bogolyubov Equations using The Transformed Harmonic Oscillator Basis. The program HFBTHO (v1.66p)
• Correlations beyond the mean field in Magnesium isotopes: Angular momentum projection and configuration mixing
• Coordinate-space solution of the Skyrme-Hartree-Fock-Bogolyubov equations within spherical symmetry. The program HFBRAD (v1.0)
• Selfconsistent calculations of fission barriers in the Fm region
• 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
• Particle-Number Projected Hartree-Fock-Bogoliubov Study with Effective Shell Model Interactions

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