A quartet BCS-like theory

Abstract

We introduce a BCS-like theory for the quartet correlations induced by the isovector pairing interaction. It is based on a coherent state of BCS type and, unlike usual mean field approaches, it displays a vanishing pair anomalous density $⟨c^{†}{c}^{†}⟩=0$. We find good agreement between our theory and the exact results. We discuss how the pairing and quarteting correlations share some similar qualitative features within the BCS approach. However, there is no sharp quarteting phase transition. We also present various ways in which our theory may be further developed.

7 pages, 5 figures

References in corpus (6)

• Overview of Neutron-Proton Pairing
• Alpha particle clusters and their condensation in nuclear systems
• Many Body Approach for Quartet Condensation in Strong Coupling
• Isovector proton-neutron pairing and Wigner energy in Hartree-Fock mean field calculations
• Quartetting in odd-odd self-conjugate nuclei
• Analytical approach for the Quartet Condensation Model

Cited by in corpus (15)

• Cooper quartet correlations in infinite symmetric nuclear matter
• Quartet Superfluid in Two-dimensional Mass-imbalanced Fermi Mixtures
• Condensation of Cooper Triples
• Bridging the quartet and pair pictures of isovector proton-neutron pairing
• Biexciton-like quartet condensates in an electron-hole liquid
• Variational theory combining number-projected BCS and coupled-cluster doubles
• Competition between pairing and tripling in one-dimensional fermions with coexistent s- and p-wave interactions
• Resonance-to-bound transition of ${}^5$He in neutron matter and its analogy with heteronuclear Feshbach molecule
• Cooper pairing and tripling in one-dimensional spinless fermions with attractive two- and three-body forces
• Quartet correlations near the surface of $N=Z$ nuclei
• Polaronic neutron in dilute alpha matter: A $p$-wave Bose polaron
• Structure of the quartetting ground state of $N=Z$ nuclei
• Quartet condensation induced by the isovector pairing force
• Mass-imbalance effect on the cluster formation in a one-dimensional Fermi gas with coexistent $s$- and $p$-wave interactions
• Possible condensation of Cooper triples