Bridging the quartet and pair pictures of isovector proton-neutron pairing
V.V. Baran, D. R. Nichita, D. Negrea, D. S. Delion, N. Sandulescu, P., Schuck
TL;DR
This paper explores the formal structure of a quartet coherent state approach to proton-neutron pairing, revealing relationships between different correlation pictures and generalizing BCS quasiparticle operators.
Contribution
It introduces a nonlinear quartet coherent state ansatz and analyzes its operators, bridging the quartet and pair descriptions of proton-neutron pairing.
Findings
Derived nonlinear annihilation operators for quartetting
Revealed relationships between many-body correlation functions
Connected quartetting and pair condensate pictures
Abstract
The formal implications of a quartet coherent state ansatz for proton-neutron pairing are analyzed. Its nonlinear annihilation operators, which generalize the BCS linear quasiparticle operators, are computed in the quartetting case. Their structure is found to generate nontrivial relationships between the many body correlation functions. The intrinsic structure of the quartet coherent state is detailed, as it hints to the precise correspondence between the quartetting picture and the symmetry restored pair condensate picture for the proton-neutron pairing correlations.
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