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.

6 pages, 1 figure

References in corpus (10)

• Overview of Neutron-Proton Pairing
• Bootstrapping Matrix Quantum Mechanics
• Isovector neutron-proton pairing with particle number projected BCS
• Critical Temperature for $\alpha$-Particle Condensation within a Momentum Projected Mean Field Approach
• A quartet BCS-like theory
• Analytical approach for the Quartet Condensation Model
• Exact T=0 Eigenstates of the Isovector Pairing Hamiltonian
• Unified description of pairing and quarteting correlations within the particle-hole-boson approach
• Many-body Dyson equation approach to the seniority model of pairing
• Quartet condensation induced by the isovector pairing force

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