Bridging the quartet and pair pictures of isovector proton-neutron pairing

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.

arXiv comment6 pages, 1 figure

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Cited by in corpus (8)

• Equation of Motion Method to strongly correlated Fermi systems and Extended RPA approaches
• Cooper quartet correlations in infinite symmetric nuclear matter
• Quartet Superfluid in Two-dimensional Mass-imbalanced Fermi Mixtures
• Condensation of Cooper Triples
• Biexciton-like quartet condensates in an electron-hole liquid
• $\alpha$-like quartetting in the excited states of proton-neutron pairing Hamiltonians
• Spin-Triplet Pairing in Heavy Nuclei is Stable Against Deformation
• Quartet correlations near the surface of $N=Z$ nuclei