Evaluation of overlaps between arbitrary Fermionic quasiparticle vacua - INSPIRE

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Evaluation of overlaps between arbitrary Fermionic quasiparticle vacua

Benoit Avez
(
- CENBG, Gradignan
)
,
Michael Bender
(
- CENBG, Gradignan
)

Sep, 2011

10 pages

Published in:

Phys.Rev.C 85 (2012) 034325

e-Print:

1109.2078 [nucl-th]

DOI:

10.1103/PhysRevC.85.034325

View in:

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Abstract: (arXiv)

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.

Note:

10 pages, 3 figures

21.60.Jz

References(17)

Figures(3)

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