Solution of self-consistent equations for the N3LO nuclear energy density functional in spherical symmetry. The program HOSPHE (v1.00)

TL;DR

This paper derives and implements a method to solve self-consistent equations for the N3LO nuclear energy density functional in spherical symmetry, providing a computational tool for nuclear structure calculations.

Contribution

It introduces a general framework for deriving mean fields and densities at N3LO and presents the HOSPHE program for practical solutions in spherical symmetry.

Findings

Derivation of differential operator expressions for mean fields.

Implementation of the HOSPHE program for solving equations.

Application to spherical symmetry in nuclear systems.

Abstract

We present solution of self-consistent equations for the N3LO nuclear energy density functional. We derive general expressions for the mean fields expressed as differential operators depending on densities and for the densities expressed in terms of derivatives of wave functions. These expressions are then specified to the case of spherical symmetry. We also present the computer program HOSPHE (v1.00), which solves the self-consistent equations by using the expansion of single-particle wave functions on the spherical harmonic oscillator basis.