Evaluation of overlaps between arbitrary Fermionic quasiparticle vacua
Nuclear Theory
2013-10-22 v1
Abstract
We derive an expression that allows for the unambiguous evaluation of the overlap between two arbitrary quasiparticle vacua, including its sign. Our expression is based on the Pfaffian of a skew-symmetric matrix, extending the formula recently proposed by [L. M. Robledo, Phys. Rev. C 79, 021302(R) (2009)] to the most general case, including the one of the overlap between two different blocked n-quasiparticle states for either even or odd systems. The powerfulness of the method is illustrated for a few typical matrix elements that appear in realistic angular-momentum-restored Generator-Coordinate Method calculations when breaking time-reversal invariance and using the full model space of occupied single-particle states.
Cite
@article{arxiv.1109.2078,
title = {Evaluation of overlaps between arbitrary Fermionic quasiparticle vacua},
author = {Benoît Avez and Michael Bender},
journal= {arXiv preprint arXiv:1109.2078},
year = {2013}
}
Comments
10 pages, 3 figures