We present the code HF-SHELL for solving the self-consistent mean-field equations for configuration-interaction shell model Hamiltonians in the proton–neutron formalism. The code can calculate both zero- and finite-temperature properties in the Hartree-Fock (HF), HF+Bardeen–Cooper–Schrieffer (HF+BCS) and the Hartree–Fock–Bogoliubov (HFB) mean-field approximations. Particle-number projection after variation is incorporated to reduce the grand-canonical ensemble to the canonical ensemble, making the code particularly suitable for the calculation of nuclear state densities. The code does not impose axial symmetry and allows for triaxial quadrupole deformations. The self-consistency cycle is particularly robust through the use of the heavy-ball optimization technique and the implementation of different options to constrain the quadrupole degrees of freedom.

我们提出了HF-SHELL代码，用于求解质子-中子形式主义中构型-相互作用壳模型哈密顿量的自洽平均场方程。该代码可以计算Hartree-Fock（HF），HF + Bardeen-Cooper-Schrieffer（HF + BCS）和Hartree-Fock-Bogoliubov（HFB）平均场近似的零温度和有限温度特性。合并变化后的粒子数投影以将大正则合集减少为正则合集，从而使该代码特别适合于计算核态密度。该代码没有施加轴向对称性，并允许三轴四极变形。