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

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

2011-04-28

arxiv.org/abs/1104.5453v1

Phys.Rev.C84:014312,2011

Physics

Nuclear Physics

Nuclear Theory

20 pages, 5 figures, 3 tables

Scientific paper

10.1103/PhysRevC.84.014312

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.

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