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

LM Robledo, GF Bertsch - Physical Review C—Nuclear Physics, 2011 - APS
A computer code is presented for solving the equations of the Hartree-Fock-Bogoliubov
(HFB) theory by the gradient method, motivated by the need for efficient and robust codes to …

A size-consistent approach to strongly correlated systems using a generalized antisymmetrized product of nonorthogonal geminals

PA Johnson, PW Ayers, PA Limacher… - Computational and …, 2013 - Elsevier
Inspired by the wavefunction forms of exactly solvable algebraic Hamiltonians, we present
several wavefunction ansatze. These wavefunction forms are exact for two-electron systems; …

Projection on particle number and angular momentum: Example of triaxial Bogoliubov quasiparticle states

B Bally, M Bender - Physical Review C, 2021 - APS
Background: Many quantal many-body methods that aim at the description of self-bound
nuclear or mesoscopic electronic systems make use of auxiliary wave functions that break …

Variational approximations to exact solutions in shell-model valence spaces: Systematic calculations in the shell

A Sánchez-Fernández, B Bally, TR Rodríguez - Physical Review C, 2021 - APS
We study the ability of variational approaches based on self-consistent mean-field and
beyond-mean-field methods to reproduce exact energies and electromagnetic properties of …

Variational approximations to exact solutions in shell-model valence spaces: Calcium isotopes in the shell

B Bally, A Sánchez-Fernández, TR Rodríguez - Physical Review C, 2019 - APS
We study the performance of self-consistent mean-field and beyond-mean-field
approximations in shell-model valence spaces. In particular, Hartree-Fock-Bogolyubov …

Nuclear Structure and Decay Data for A= 44 Isobars

J Chen, B Singh - Nuclear Data Sheets, 2023 - Elsevier
Experimental nuclear spectroscopic data are evaluated for 12 known nuclides of mass
number A= 44 (Si, P, S, Cl, Ar, K, Ca, Sc, Ti, V, Cr, Mn). Detailed evaluated information are …

Strategies for extending geminal-based wavefunctions: Open shells and beyond

PA Johnson, PA Limacher, TD Kim, M Richer… - Computational and …, 2017 - Elsevier
We discuss some strategies for extending recent geminal-based methods to open-shells by
replacing the geminal-creation operators with more general composite boson creation …

Variation after projection with a triaxially deformed nuclear mean field

ZC Gao, M Horoi, YS Chen - Physical Review C, 2015 - APS
We implemented a variation after projection (VAP) algorithm based on a triaxially deformed
Hartree-Fock-Bogoliubov vacuum state. This is the first projected mean field study that …

Ground-State Properties of Even–Even Nuclei from He (Z = 2) to Ds (Z = 110) in the Framework of Skyrme–Hartree–Fock–Bogoliubov Theory

AH Taqi, MA Hasan - Arabian Journal for Science and Engineering, 2022 - Springer
The ground-state properties of 2094 even–even nuclei with 2 ≤ Z ≤ 110 2≤ Z≤ 110 over a
wide range of isotopes have been calculated and studied in the framework of the Hartree …

Symmetry projection in atomic nuclei

JA Sheikh, RN Ali - The European Physical Journal Special Topics, 2020 - Springer
In the present work, projection methods employed to restore the spontaneously broken
symmetry in the mean-field approach to many-body problem are reviewed. The symmetry …