Unified BCS-like model of pairing and alpha-correlations

Abstract

We construct a BCS-like model that combines nucleonic pairing correlations and possible quartic correlations of alpha-type in a single variational wave function and derive corresponding gap equations. In the approximation of large logarithms typical for the BCS approach, we show that the system reveals two possible types of a condensate which cannot coexist. If the alpha-type condensate prevails at N=Z, the growth of the neutron excess will naturally lead to the first order phase transition to the nucleon condensates.

18 pages

References in corpus (4)

• Theory of ultracold Fermi gases
• Shape and structure of N=Z 64Ge; Electromagnetic transition rates from the application of the Recoil Distance Method to knock-out reaction
• Spin-triplet pairing in large nuclei
• Pairing and alpha-decay

Cited by in corpus (20)

• Alpha-like quartet condensation and isovector pairing correlations in N=Z nuclei
• Expanding Nuclear Physics Horizons with the Gamma Factory
• Four-nucleon alpha-type correlations and proton-neutron pairing away of N=Z line
• Isoscalar and isovector pairing in a formalism of quartets
• Four-body correlations in nuclei
• Bose-Einstein condensation of Efimovian triples in the unitary Bose gas
• Cooper quartet correlations in infinite symmetric nuclear matter
• Quartet Superfluid in Two-dimensional Mass-imbalanced Fermi Mixtures
• Quartet correlations in N=Z nuclei induced by realistic two-body interactions
• Isovector and isoscalar proton-neutron pairing in $N>Z$ nuclei
• Treatment of like-particle pairing with quartets
• Condensation of Cooper Triples
• Quartetting in odd-odd self-conjugate nuclei
• Biexciton-like quartet condensates in an electron-hole liquid
• $\alpha$-like quartetting in the excited states of proton-neutron pairing Hamiltonians
• Band-like structures and quartets in deformed N=Z nuclei
• Quartet correlations near the surface of $N=Z$ nuclei
• Collective treatment of the isovector pair correlations. Boson representation
• Polaronic neutron in dilute alpha matter: A $p$-wave Bose polaron
• Coexistence of quartets and pairs in even-even $N>Z$ nuclei