Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (VI) HFODD (v2.38j): a new version of the program

TL;DR

This paper introduces version 2.38j of the HFODD code, enhancing nuclear structure calculations with new features like angular momentum projection, GCM kernels, and improved pairing methods, enabling more accurate and versatile simulations.

Contribution

The new HFODD version incorporates multiple advanced features such as angular momentum projection, GCM kernel calculation, and quasiparticle blocking, significantly improving nuclear structure modeling capabilities.

Findings

Implemented angular momentum projection for Hartree-Fock states

Added GCM kernel calculation for collective motion studies

Enhanced pairing treatment with Lipkin-Nogami and BCS methods

Abstract

We describe the new version (v2.38j) of the code HFODD which solves the nuclear Skyrme-Hartree-Fock or Skyrme-Hartree-Fock-Bogolyubov problem by using the Cartesian deformed harmonic-oscillator basis. In the new version, we have implemented: (i) projection on good angular momentum (for the Hartree-Fock states), (ii) calculation of the GCM kernels, (iii) calculation of matrix elements of the Yukawa interaction, (iv) the BCS solutions for state-dependent pairing gaps, (v) the HFB solutions for broken simplex symmetry, (vi) calculation of Bohr deformation parameters, (vii) constraints on the Schiff moments and scalar multipole moments, (viii) the D2h transformations and rotations of wave functions, (ix) quasiparticle blocking for the HFB solutions in odd and odd-odd nuclei, (x) the Broyden method to accelerate the convergence, (xi) the Lipkin-Nogami method to treat pairing correlations, (xii) the exact Coulomb exchange term, (xiii) several utility options, and we have corrected two insignificant errors.