A convenient implementation of the overlap between arbitrary Hartree-Fock-Bogoliubov vacua for projection

2Citations
Citations of this article
12Readers
Mendeley users who have this article in their library.

Abstract

Overlap between Hartree-Fock-Bogoliubov (HFB) vacua is very important in the beyond mean-field calculations. However, in the HFB transformation, the U, V matrices are sometimes singular due to the exact emptiness (vi=0) or full occupation (u i = 0) of some single-particle orbits. This singularity may cause some problem in evaluating the overlap between HFB vacua through Pfaffian. We found that this problem can be well avoided by setting those zero occupation numbers u i, vi to some tiny values denoted by ε( > 0), which numerically satisfies 1 + ε2 = 1 (e.g., ε = 10 -8 when using the double precision data type). This treatment does not change the HFB vacuum state because ui2,vi2=ε2 are numerically zero relative to 1. Therefore, for arbitrary HFB transformation, we say that the U, V matrices can always be nonsingular. From this standpoint, we present a new convenient Pfaffian formula for the overlap between arbitrary HFB vacua, which is especially suitable for symmetry restoration. Testing calculations have been performed for this new formula. It turns out that our method is reliable and accurate in evaluating the overlap between arbitrary HFB vacua. © 2014 The Authors.

Cite

CITATION STYLE

APA

Gao, Z. C., Hu, Q. L., & Chen, Y. S. (2014). A convenient implementation of the overlap between arbitrary Hartree-Fock-Bogoliubov vacua for projection. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 732, 360–363. https://doi.org/10.1016/j.physletb.2014.04.012

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free