Cooper quartet correlations in infinite symmetric nuclear matter

Abstract

We investigate the quartet correlations in four-component fermionic systems at the thermodynamic limit within a variational many-body theory. The Bardeen-Cooper-Schrieffer (BCS)-type variational wave function is extended to the systems with the coexistence of pair and quartet correlations at zero temperature. Special attention is paid to the application of the present framework to an alpha-particle condensation in symmetric nuclear matter, where the coexistence of deuteron and alpha condensations is anticipated. We also discuss how physical properties, such as quasiparticle dispersion, can be modified by the pair and quartet correlations and show a hierarchical structure of in-medium cluster formations in infinite nuclear matter. The present results may also contribute to the interdisciplinary understanding of fermionic condensations beyond the BCS paradigm in many-body systems.

arXiv comment11 pages, 2 figures

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• Role of the effective range in the density-induced BEC-BCS crossover
• Stability against three-body clustering in one-dimensional spinless p-wave fermions
• 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
• Quartet correlations near the surface of $N=Z$ nuclei
• Cooper pairing and tripling in one-dimensional spinless fermions with attractive two- and three-body forces
• Polaronic neutron in dilute alpha matter: A $p$-wave Bose polaron
• Possible condensation of Cooper triples
• Mass-imbalance effect on the cluster formation in a one-dimensional Fermi gas with coexistent $s$- and $p$-wave interactions