An Implementation of Nuclear Many-Body Wave Functions by the Superposition of Localized Gaussians

We introduce a new framework for the nuclear structure calculations, which describes the single-particle wave function as a superposition of localized Gaussians. It is a hybrid of the Hartree-Fock and antisymmetrized molecular dynamics (AMD) models. In the numerical calculations of oxygen, calcium isotopes, and $<^>{100}{\rm Sn}$, the framework shows its potential by significantly improving upon AMD and yielding results that are consistent with or even better than Hartree-Fock(-Bogoliubov) calculations based on harmonic oscillator expansions. In addition to the basic equations, general forms of the matrix elements are also given.