https://doi.org/10.1140/epja/s10050-025-01697-0
Code Paper
HFB3: an axial HFB solver with Gogny forces using a 2-center HO basis (C++/Python)
1
CEA, DAM, 91297, Arpajon, France
2
Laboratoire Matière en Conditions Extrêmes, Université Paris-Saclay, CEA, 91680, Bruyères-le-Châtel, France
3
CEA, DES, 13108, Saint-Paul-Lez-Durance, France
4
Department of Theoretical Physics, Institute of Physics, Maria Curie–Skłodowska University, Lublin, Poland
a
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Received:
12
June
2025
Accepted:
3
September
2025
Published online:
1
October
2025
The HFB3 program solves the axial nuclear Hartree–Fock–Bogoliubov (HFB) equations using bases formed by either one or two sets of deformed Harmonic Oscillator (HO) solutions with D1-type and D2-type Gogny effective nucleon–nucleon interactions. Using two sets of HO solutions shifted along the z-axis (2-center basis) allows to accurately describe highly elongated nuclear systems while keeping a moderate basis size, making this type of basis very convenient for the description of the nuclear fission process. For the description of odd–even and odd–odd systems, the equal-filling-approximation is used. Several observables can be calculated by the program, including the mean values of the multipole moments, nuclear radii, inertia tensors following Adiabatic Time-Dependent Hartree–Fock–Bogoliubov (ATDHFB) or Generator Coordinate Method (GCM) prescriptions, local and non-local one-body densities, local and non-local pairing densities, some fission fragment properties, etc. The program can ensure that the mean values associated with some specific operators take pre-defined values (constraints). Such constraints can be set on the usual multipole moments (for protons, neutrons or total mass). This program can be used as a monoprocess and monothreaded CLI executable, or through full-featured Python bindings (available through the Python Package Index PyPI).
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
