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Evaluation of overlaps between arbitrary fermionic quasiparticle vacua

B. Avez 1 M. Bender 1
1 THEORIE - Physique théorique
CENBG - Centre d'Etudes Nucléaires de Bordeaux Gradignan
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 overlap formula recently proposed by Robledo [ Phys. Rev. C 79 021302 (2009)] to the most general case of quasiparticle vacua, 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.
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Submitted on : Thursday, April 12, 2012 - 10:58:37 AM
Last modification on : Thursday, December 3, 2020 - 9:40:03 PM

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B. Avez, M. Bender. Evaluation of overlaps between arbitrary fermionic quasiparticle vacua. Physical Review C, American Physical Society, 2012, 85, pp.034325. ⟨10.1103/PhysRevC.85.034325⟩. ⟨in2p3-00687083⟩



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