Critical Temperature for $\alpha$-Particle Condensation within a Momentum Projected Mean Field Approach

Abstract

Alpha-particle (quartet) condensation in homogeneous spin-isospin symmetric nuclear matter is investigated. The usual Thouless criterion for the critical temperature is extended to the quartet case. The in-medium four-body problem is strongly simplified by the use of a momentum projected mean field ansatz for the quartet. The self-consistent single particle wave functions are shown and discussed for various values of the density at the critical temperature.

References in corpus (16)

• Theory of ultracold Fermi gases
• Alpha cluster condensation in 12C and 16O
• Relativistic Equation of State of Nuclear Matter for Supernova Explosion
• Collisional stability of a three-component degenerate Fermi gas
• Three-body recombination in a three-state Fermi gas with widely tunable interactions
• Four-particle condensate in strongly coupled fermion systems
• Alpha-particle condensation in 16O via a full four-body OCM calculation
• Competing orders in one dimensional spin 3/2 fermionic systems
• Spatial structure of neutron Cooper pair in low density uniform matter
• Appearance of Light Clusters in Post-bounce Evolution of Core-Collapse Supernovae
• Generic strong coupling behavior of Cooper pairs in the surface of superfluid nuclei
• Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap
• Accuracy of BCS-based approximations for pairing in small Fermi systems
• On Quartet Superfluidity of Fermionic Atomic Gas
• Many Body Theory for Quartets, Trions, and Pairs in Low Density Multi-Component Fermi-Systems
• Three- and Four-body correlations in nuclear matter

Cited by in corpus (25)

• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• Concepts of alpha-particle condensation
• Status of Alpha-Particle Condensate Structure of the Hoyle State
• Evidence for $\alpha$-particle condensation in nuclei from the Hoyle state deexcitation
• Alpha-Particle Clustering from Expanding Self-Conjugate Nuclei within the Hartree-Fock-Bogoliubov Approach
• Alpha particle clusters and their condensation in nuclear systems
• Microscopic study of 4-alpha-particle condensation with proper treatment of resonances
• Cluster-liquid transition in finite saturated fermionic systems
• Origin of Low-Lying Enhanced E1 Strength in Rare-Earth Nuclei
• Experimental investigation of $\alpha$-condensation in light nuclei
• Many Body Approach for Quartet Condensation in Strong Coupling
• Nuclear Alpha-Particle Condensates
• Equation of Motion Method to strongly correlated Fermi systems and Extended RPA approaches
• Critical temperature for $\alpha$-particle condensation in asymmetric nuclear matter
• Alpha-particle condensation: a nuclear quantum phase transition
• Open Problems in $\alpha$ Particle Condensation
• 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
• Cold dilute nuclear matter with $\alpha$-particle condensation in a generalized nonlinear relativistic mean-field model
• Tensor optimized Fermi sphere method for nuclear matter -- power series correlated wave function and a cluster expansion
• Alpha-Particle condensation in nuclear systems: present status and perspectives
• Ginzburg-Landau Formalism for 2n-Body Condensation
• Theory for Quartet Condensation in Fermi Systems with Applications to Nuclei and Nuclear Matter
• Cold atoms beyond atomic physics
• Structure of the quartetting ground state of $N=Z$ nuclei