Finite-temperature mean-field approximations for shell model Hamiltonians: the code HF-SHELL
Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, 06520, New Haven, CT, USA
2 Institut d’Astronomie et d’Astrophysique, Université Libre de Bruxelles, CP 226, 1050, Brussels, Belgium
Accepted: 20 January 2021
Published online: 24 February 2021
We present the code HF-SHELL for solving the self-consistent mean-field equations for configuration-interaction shell model Hamiltonians in the proton–neutron formalism. The code can calculate both zero- and finite-temperature properties in the Hartree-Fock (HF), HF+Bardeen–Cooper–Schrieffer (HF+BCS) and the Hartree–Fock–Bogoliubov (HFB) mean-field approximations. Particle-number projection after variation is incorporated to reduce the grand-canonical ensemble to the canonical ensemble, making the code particularly suitable for the calculation of nuclear state densities. The code does not impose axial symmetry and allows for triaxial quadrupole deformations. The self-consistency cycle is particularly robust through the use of the heavy-ball optimization technique and the implementation of different options to constrain the quadrupole degrees of freedom.
Key words: Finite-temperature mean-field approximation / Configuration-interaction shell model / Nuclear state density
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021