Alpha particle clusters and their condensation in nuclear systems

Abstract

In this article we review the present status of alpha clustering in nuclear systems. First of all, an important aspect is condensation in nuclear matter. Second, the alpha container model, recently been proposed by Tohsaki-Horiuchi-Schuck-Roepke (THSR), will be outlined and the ensuing condensate aspect of the Hoyle state at 7.65 MeV in 12C will be investigated in some detail. After 15 years since the proposal of the alpha condensation concept a critical assessment of this idea will be given. Alpha gas states in other nuclei like 16O and 13C will be considered. The THSR wave function can also describe configurations of one alpha particle on top of a doubly magic core. The cases of 20Ne and 212Po will be investigated.

arXiv commentreview article

References in corpus (81)

• Composition and thermodynamics of nuclear matter with light clusters
• Relativistic Equation of State of Nuclear Matter for Supernova and Neutron Star
• A quasi-pure Bose-Einstein condensate immersed in a Fermi sea
• Quantum Monte Carlo methods for nuclear physics
• Alpha cluster condensation in 12C and 16O
• Quantum Monte Carlo calculations of A=8 nuclei
• Relativistic Equation of State of Nuclear Matter for Supernova Explosion
• Structure and rotations of the Hoyle state
• Four-particle condensate in strongly coupled fermion systems
• Analysis of previous microscopic calculations for second $0^{+}$ state in ${}^{12}$C in terms of 3-alpha particle Bose-condensed state
• Cluster Formation and The Virial Equation of State of Low-Density Nuclear Matter
• Structure of ground and excited states of ${}^{12}$C
• Neutron skin of ${}^{208}$Pb from Coherent Pion Photoproduction
• Evidence for Triangular D_3h Symmetry in 12C
• Unified ab initio approaches to nuclear structure and reactions
• Nuclear multifragmentation and phase transition for hot nuclei
• Ab initio alpha-alpha scattering
• Alpha-particle condensation in 16O via a full four-body OCM calculation
• Unambiguous Identification of the Second 2+ State in 12C and the Structure of the Hoyle State
• Variation after Angular Momentum Projection for the Study of Excited States Based on Antisymmetrized Molecular Dynamics
• Ab initio calculation of the spectrum and structure of ${}^{16}$O
• Concepts of alpha-particle condensation
• Collective Modes in Light Nuclei from First Principles
• $2\alpha +t$ cluster structure in ${}^{11}$B
• Single $\alpha$-particle orbits and Bose-Einstein condensation in ${}^{12}$C
• Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians
• Comparing and contrasting nuclei and cold atomic gases
• Hoyle state and rotational features in Carbon-12 within a no-core shell model framework
• Nuclear binding near a quantum phase transition
• Bound clusters on top of doubly magic nuclei
• Viability of carbon-based life as a function of the light quark mass
• Molecular superfluid phase in systems of one-dimensional multicomponent fermionic cold atoms
• Cluster states in nuclei as representations of a U(n+1) group
• Can Modern Nuclear Hamiltonians Tolerate a Bound Tetraneutron?
• Atom-Dimer Scattering in a Three-Component Fermi Gas
• Alpha Decay Width of ${}^{212}$Po from a quartetting wave function approach
• Evidence for $\alpha$-particle condensation in nuclei from the Hoyle state deexcitation
• Linear chain structure of four-$\alpha$ clusters in ${}^{16}$O
• Inelastic form factors to alpha particle condensate states in 12C and 16O: what can we learn ?
• Quadrupole Deformation $\beta$ and $\gamma$ Constraint in a Framework of Antisymmetrized Molecular Dynamics
• Description of 8Be as Deformed Gas-like Two-Alpha-Paricle States
• On the possibility of generating a 4-neutron resonance with a {\boldmath $T=3/2$} isospin 3-neutron force
• Alpha-Particle Clustering from Expanding Self-Conjugate Nuclei within the Hartree-Fock-Bogoliubov Approach
• Isoscalar monopole excitations in ${}^{16}$O: $\alpha$-cluster states at low energy and mean-field-type states at higher energy
• Quantum three-body calculation of the nonresonant triple-αreaction rate at low temperatures
• Hoyle band and $\alpha$ condensation in ${}^{12}\mathrm{C}$
• Collective nuclear excitations with Skyrme-Second RPA
• Open $sd$-shell nuclei from first principles
• One-dimensional $\alpha$ condensation of $\alpha$-linear-chain states in ${}^{12}\mathrm{C}$ and ${}^{16}\mathrm{O}$
• Nonlocalized cluster dynamics and nuclear molecular structure
• Nuclear matter equation of state including few-nucleon correlations $(A\le 4)$
• Microscopic study of 4-alpha-particle condensation with proper treatment of resonances
• Decay and structure of the Hoyle state
• Symplectic No-core Shell-model Approach to Intermediate-mass Nuclei
• The Q^2-Dependence of Nuclear Transparency for Exclusive ${\rho }^0$ Production
• ${}^{16}\mathrm{O}{+}^{16}\mathrm{O}$ nature of the superdeformed band of ${}^{32}\mathrm{S}$ and the evolution of the molecular structure
• Density-induced suppression of the alpha-particle condensate in nuclear matter and the structure of alpha cluster states in nuclei
• Confinement vs Deconfinement of Cooper Pairs in One-Dimensional Spin-3/2 Fermionic Cold Atoms
• Three-body calculations of triple-alpha reaction
• $\alpha +\alpha +t$ cluster structures and Hoyle-analogue states in ${}^{11}$B
• Alpha cluster structures and monopole excitations in ${}^{13}$C
• Beyond mean-field description of the low-lying spectrum of 16O
• Investigation of ${}^9$Be from nonlocalized clustering concept
• Critical Temperature for $\alpha$-Particle Condensation within a Momentum Projected Mean Field Approach
• Direct and sequential radiative three-body reaction rates at low temperatures
• Effects of $\alpha$-cluster breaking on 3$\alpha$ cluster structures in ${}^{12}$C
• Systematic Law for Half-lives of Double $\beta$-decay with Two Neutrinos
• Many Body Approach for Quartet Condensation in Strong Coupling
• Cluster states and monopole transitions in ${}^{16}$O
• Nuclear Alpha-Particle Condensates
• On Quartet Superfluidity of Fermionic Atomic Gas
• Correlated-basis description of $\alpha$-cluster and delocalized $0^{+}$ states in ${}^{16}$O
• Quantitative study of coherent pairing modes with two neutron transfer: Sn-isotopes
• Critical temperature for $\alpha$-particle condensation in asymmetric nuclear matter
• Self-Consistent RPA from a Coupled Cluster Wave Function Perspective
• Imaginary-time theory for triple-alpha reaction rate
• Signals of Bose Einstein condensation and Fermi quenching in the decay of hot nuclear systems
• Effective field theory of Bose-Einstein condensation of $\alpha$ clusters and Nambu-Goldstone-Higgs states in ${}^{12}$C
• Internal One-Particle Density Matrix for Bose-Einstein Condensates with Finite Number of Particles in a Harmonic Potential
• Geometrical symmetries of nuclear systems: D(3h) and T(d) symmetries in light nuclei
• Two- and three-alpha systems with nonlocal potential

Cited by in corpus (31)

• Microscopic Clustering in Light Nuclei
• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• Ab initio calculations of the isotopic dependence of nuclear clustering
• Cluster structure of light nuclei
• Nonlocalized Clustering and Evolution of Cluster Structure in Nuclei
• Real-time evolution method and its application to 3$\alpha$ cluster system
• Multi-cluster dynamics in ${}_{\Lambda }^{13}\mathrm{C}$ and analogy to clustering in ${}^{12}\mathrm{C}$
• A quartet BCS-like theory
• Bose-Einstein condensation and liquid-gas phase transition in alpha-matter
• Resonant and Scattering States in the $\alpha +\alpha$ System from the Non-Localized Cluster Model
• alpha clustering and neutron-skin thickness of carbon isotopes
• Optimization of basis functions for the multi-configuration mixing using the Replica Exchange Monte-Carlo method and its application to ${}^{12}$C
• Clustering in nuclei at finite temperature
• Phase diagram of alpha matter with Skyrme-like scalar interaction
• 16O within the Semimicroscopic Algebraic Cluster Model and the importance of the Pauli Exclusion Principle
• The Hoyle Family: The search for alpha-condensate states in light nuclei
• A study of nuclear structure of light nuclei at the Electron-Ion Collider
• Evolution of clustering structure through the momentum distributions in ${}^{8-10}$Be isotopes
• Halo structure of ${}^{17}$C
• New trial wave function for nuclear cluster structure of nuclei
• Discrete symmetries in the cluster shell model
• The MC-QTAIM: A framework for extending the atoms in molecules analysis beyond purely electronic systems
• Unified description of pairing and quarteting correlations within the particle-hole-boson approach
• Kinetic formation of trimers in a spinless fermionic chain
• Shape of 12C
• Signatures of $\alpha$-clustering in ${}^{12}$C and ${}^{13}$C
• Electromagnetic transitions in the algebraic cluster model
• Cold atoms beyond atomic physics
• Odd-mass nuclei in the cluster shell model
• The isoscalar monopole strength of 13C
• Triangular symmetry in cluster nuclei