Application of the inverse Hamiltonian method to Hartree-Fock-Bogoliubov calculations

Abstract

We solve the Hartree-Fock-Bogoliubov (HFB) equations for a spherical mean field and a pairing potential with the inverse Hamiltonian method, which we have developed for the solution of the Dirac equation. This method is based on the variational principle for the inverse Hamiltonian, and is applicable to Hamiltonians that are bound neither from above nor below. We demonstrate that the method works well not only for the Dirac but also for the HFB equations.

4 pages, 3 figures

References in corpus (6)

• Avoid the Tsunami of the Dirac sea in the Imaginary Time Step method
• Canonical-basis solution of the Hartree-Fock-Bogoliubov equation on three-dimensional Cartesian mesh
• Iterative solution of a Dirac equation with inverse Hamiltonian method
• Solving the Dirac equation with nonlocal potential by Imaginary Time Step method
• Brueckner Rearrangement Effects in ${}_{\Lambda }^5$He and ${}_{\Lambda \Lambda }^6$He
• Perturbative HFB model for many-body pairing correlations

Cited by in corpus (2)

• Three-dimensional mesh calculations for covariant density functional theory
• An efficient solution for Dirac equation in 3D lattice space with the conjugate gradient method