Formulation of the Generator Coordinate Method with arbitrary bases

TL;DR

This paper generalizes the generator coordinate method formalism to handle HFB states expanded in different arbitrary bases, enabling more flexible and comprehensive nuclear structure calculations.

Contribution

It introduces a generalized formalism for the generator coordinate method that accommodates arbitrary basis expansions of HFB states, broadening its applicability.

Findings

Allows use of different bases for HFB states in GCM calculations

Enables more flexible nuclear structure modeling

Provides a theoretical foundation for diverse basis choices

Abstract

The existing formalism used to compute the operator overlaps necessary to carry out generator coordinate method calculations using a set of Hartree- Fock- Bogoliubov wave functions, is generalized to the case where each of the HFB states are expanded in different arbitrary bases spanning different sub-space of the Hilbert space.