Quartet correlations near the surface of $N=Z$ nuclei

Abstract

We theoretically investigate Cooper quartet correlations in $N=Z$ doubly-magic nuclei (${}^{40}\mathrm{Ca}$, ${}^{100}\mathrm{Sn}$, and ${}^{164}\mathrm{Pb}$). We first examine the quartet condensation fraction in infinite symmetric nuclear matter by using the quartet Bardeen-Cooper-Schrieffer theory. Together with the total nucleon density profiles of doubly-magic nuclei obtained from the Skyrme Hartree-Fock calculation, we discuss the spatial distribution of quartet correlations in finite nuclei within the local density approximation. Large quartet condensate fractions are found at the surface region of an atomic nucleus due to the strong neutron-proton attractive interaction responsible for the deuteron formation in vacuum. Moreover, we discuss a possible microscopic origin of the Wigner term in the context of nucleon-quartet scattering in dilute symmetric nuclear matter. The nucleon-quartet scattering effect on the Wigner term is numerically estimated to be about one order of magnitude of the total empirical strength, indicating the importance of multinucleon clusters in the symmetry energy and mass formula in addition to the neutron-proton pairing.

arXiv comment12 pages, 4 figures

References in corpus (39)

• Equations of state for supernovae and compact stars
• Composition and thermodynamics of nuclear matter with light clusters
• Alpha cluster condensation in 12C and 16O
• Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XII: Stiffness and stability of neutron-star matter
• The Equation of State of a Low-Temperature Fermi Gas with Tunable Interactions
• Four-particle condensate in strongly coupled fermion systems
• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• Field-theoretical study of the Bose polaron
• Nucleon Effective Masses in Neutron-Rich Matter
• Competition Between T=0 and T=1 Pairing in Proton-Rich Nuclei
• Effective field theory description of halo nuclei
• Phase separation in a polarized Fermi gas at zero temperature
• The Origin of the Wigner Energy
• Neutron skin thickness of heavy nuclei with $\alpha$-particle correlations and the slope of the nuclear symmetry energy
• Condensate Fraction of a Fermi Gas in the BCS-BEC Crossover
• The alpha-particle in nuclear matter
• Alpha-like quartet condensation and isovector pairing correlations in N=Z nuclei
• Quantum mixtures of ultracold gases of neutral atoms
• BEC-BCS Crossover and the Liquid-Gas Phase Transition in Hot and Dense Nuclear Matter
• Candidates for the 5$\alpha$ condensed state in ${}^{20}$Ne
• Relation between Wigner energy and proton-neutron pairing
• Many Body Approach for Quartet Condensation in Strong Coupling
• Unified BCS-like model of pairing and alpha-correlations
• A quartet BCS-like theory
• Superfluid Phase Transitions and Effects of Thermal Pairing Fluctuations in Asymmetric Nuclear Matter
• Quasiparticle properties of a single alpha particle in cold neutron matter
• Cooper quartet correlations in infinite symmetric nuclear matter
• Quartet Superfluid in Two-dimensional Mass-imbalanced Fermi Mixtures
• Binding two and three $\alpha$ particles in cold neutron matter
• Intersections of ultracold atomic polarons and nuclear clusters: How is a chart of nuclides modified in dilute neutron matter?
• Bridging the quartet and pair pictures of isovector proton-neutron pairing
• Biexciton-like quartet condensates in an electron-hole liquid
• Role of the effective range in the density-induced BEC-BCS crossover
• Isobaric-multiplet mass equation in a macroscopic-microscopic approach
• Polaronic Proton and Diproton Clustering in Neutron-Rich Matter
• ${}^{164}\mathrm{Pb}$: A possible heaviest $N=Z$ doubly magic nucleus
• Coexistence of quartets and pairs in even-even $N>Z$ nuclei
• Polaronic neutron in dilute alpha matter: A $p$-wave Bose polaron

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