Alpha cluster condensation in 12C and 16O

Abstract

A new $\alpha$-cluster wave function is proposed which is of the $\alpha$-particle condensate type. Applications to ${}^{12}$C and ${}^{16}$O show that states of low density close to the 3 resp. 4 $\alpha$-particle threshold in both nuclei are possibly of this kind. It is conjectured that all self-conjugate 4$n$ nuclei may show similar features.

4 pages, 2 tables, 2 figures

Cited by in corpus (272)

• Composition and thermodynamics of nuclear matter with light clusters
• Ab initio calculation of the Hoyle state
• Microscopic Clustering in Light Nuclei
• Exotic Hadrons with Heavy Flavors -X, Y, Z and Related States-
• Structure and rotations of the Hoyle state
• Analysis of previous microscopic calculations for second $0^{+}$ state in ${}^{12}$C in terms of 3-alpha particle Bose-condensed state
• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• Nuclear rainbow scattering and nucleus-nucleus potential
• Alpha-particle condensation in 16O via a full four-body OCM calculation
• Dilute Multi Alpha Cluster States in Nuclei
• Ab initio calculation of the spectrum and structure of ${}^{16}$O
• Concepts of alpha-particle condensation
• Nonlocalized Clustering: A New Concept in Nuclear Cluster Structure Physics
• Giant Dipole Resonance as a Fingerprint of $\alpha$ Clustering Configurations in ${}^{12}$C and ${}^{16}$O
• $2\alpha +t$ cluster structure in ${}^{11}$B
• Light nuclei quasiparticle energy shift in hot and dense nuclear matter
• Single $\alpha$-particle orbits and Bose-Einstein condensation in ${}^{12}$C
• Comparing and contrasting nuclei and cold atomic gases
• Nuclear binding near a quantum phase transition
• Bound clusters on top of doubly magic nuclei
• Rod-shaped Nuclei at Extreme Spin and Isospin
• Status of Alpha-Particle Condensate Structure of the Hoyle State
• Molecular superfluid phase in systems of one-dimensional multicomponent fermionic cold atoms
• Cluster structures of excited states in ${}^{14}$C
• Alpha Decay Width of ${}^{212}$Po from a quartetting wave function approach
• Negative parity states of ${}^{11}$B and ${}^{11}$C and the similarity with $^{12}C
• Resonance states in 12C and alpha-particle condensation
• Evidence for an alpha cluster condensed state in 16O(alpha,alpha') at 400 MeV
• Evidence for $\alpha$-particle condensation in nuclei from the Hoyle state deexcitation
• High precision probe of the fully sequential decay width of the Hoyle state in ${}^{12}$C
• A novel manifestation of $\alpha$-clustering: new '$\alpha$ + ${}^{208}$Pb' states in ${}^{212}$Po revealed by their enhanced E1 decays
• Inelastic form factors to alpha particle condensate states in 12C and 16O: what can we learn ?
• Alpha Cluster Formation and Decay in Quartetting Wave Function Approach
• Dynamics of clusters and fragments in heavy-ion collisions
• Pair decay width of the Hoyle state and carbon production in stars
• Alpha-Particle Clustering from Expanding Self-Conjugate Nuclei within the Hartree-Fock-Bogoliubov Approach
• The many facets of the (non relativistic) Nuclear Equation of State
• Signatures of alpha clustering in light nuclei from relativistic nuclear collisions
• Isoscalar monopole excitations in ${}^{16}$O: $\alpha$-cluster states at low energy and mean-field-type states at higher energy
• Antisymmetrized molecular dynamics studies for exotic clustering phenomena in neutron-rich nuclei
• Density Functional Theory studies of cluster states in nuclei
• Study of ground state properties of carbon isotopes with deformed relativistic Hartree-Bogoliubov theory in continuum
• Hoyle band and $\alpha$ condensation in ${}^{12}\mathrm{C}$
• Alpha particle clusters and their condensation in nuclear systems
• One-dimensional $\alpha$ condensation of $\alpha$-linear-chain states in ${}^{12}\mathrm{C}$ and ${}^{16}\mathrm{O}$
• Nonlocalized cluster dynamics and nuclear molecular structure
• Emergent geometry and duality in the carbon nucleus
• Nuclear matter equation of state including few-nucleon correlations $(A\le 4)$
• Microscopic study of 4-alpha-particle condensation with proper treatment of resonances
• Isoscalar dipole transition as a probe for asymmetric clustering
• Alpha-resonance structure in ${}^{11}$C studied via resonant scattering of ${}^7$Be+$\alpha$ and ${}^7$Be($\alpha$, $p$) reaction
• $\alpha$-particle condensate states in ${}^{16}$O
• Stability of the linear chain structure for ${}^{12}$C in covariant density functional theory on a 3D lattice
• Density-induced suppression of the alpha-particle condensate in nuclear matter and the structure of alpha cluster states in nuclei
• Microscopic Study of the triple-$\alpha$ Reaction
• $\alpha +\alpha +t$ cluster structures and Hoyle-analogue states in ${}^{11}$B
• Alpha Decay to Doubly Magic Core in Quartetting Wave Function Approach
• Alpha cluster structures and monopole excitations in ${}^{13}$C
• Localization and clustering in the nuclear Fermi liquid
• Dineutron structure in ${}^8$He
• Breathing-like excited state of the Hoyle state in ${}^{12}\mathrm{C}$
• Volume Dependence of Bound States with Angular Momentum
• Systematic study of $\alpha$ decay for odd-$A$ nuclei within a two-potential approach
• Dipole oscillation modes in light $\alpha$-clustering nuclei
• Origin of Low-Lying Enhanced E1 Strength in Rare-Earth Nuclei
• Cluster structures in ${}^{11}$B
• Systematic study of favored α-decay half-lives of closed shell odd-A and doubly-odd nuclei related to ground and isomeric states
• Investigation of 10Be and its cluster dynamics from nonlocalized clustering concept
• Baryon preclustering at the freeze-out of heavy-ion collisions and light-nuclei production
• Structure and decay pattern of linear-chain state in 14C
• Experimental investigation of $\alpha$-condensation in light nuclei
• Investigation of ${}^9$Be from nonlocalized clustering concept
• Non-relativistic bound states in a finite volume
• 3alpha clustering in the excited states of 16C
• Candidates for the 5$\alpha$ condensed state in ${}^{20}$Ne
• Critical Temperature for $\alpha$-Particle Condensation within a Momentum Projected Mean Field Approach
• The long and winding road from chiral effective Lagrangians to nuclear structure
• Effects of $\alpha$-cluster breaking on 3$\alpha$ cluster structures in ${}^{12}$C
• Dynamics of the linear-chain alpha cluster in microscopic time-dependent relativistic density functional theory
• Tensor-optimized antisymmetrized molecular dynamics in nuclear physics
• Algebraic models for shell-like quarteting of nucleons
• Be-$\alpha$ correlations in the linear-chain structure of C isotopes
• Photonuclear reaction as a probe for $\alpha$-clustering nuclei in the quasi-deuteron region
• Validation of the ${}^{10}\mathrm{Be}$ Ground-State Molecular Structure Using ${}^{10}\mathrm{Be}(p,p\alpha {)}^6\mathrm{He}$ Triple Differential Reaction Cross-Section Measurements
• Nonlocalized Clustering and Evolution of Cluster Structure in Nuclei
• Spectral convexity for attractive SU(2N) fermions
• Missing monopole strength of the Hoyle state in the inelastic $\alpha$+${}^{12}$C scattering
• Deformation and cluster structures in ${}^{12}$C studied with configuration mixing using Skyrme interactions
• Container evolution for cluster structures in ${}^{16}\mathrm{O}$
• Many Body Approach for Quartet Condensation in Strong Coupling
• Predictions on global properties in O+O collisions at the Large Hadron Collider using a multi-phase transport model
• Cluster states and monopole transitions in ${}^{16}$O
• On Quartet Superfluidity of Fermionic Atomic Gas
• Nuclear Alpha-Particle Condensates
• Manifestation of α-clustering in ${}^{10}$Be via α-knockout reaction
• Light $p$-shell nuclei with cluster structures ($4\le A\le 16$) in nuclear matter
• Searching for states analogous to the 12C Hoyle state in heavier nuclei using the thick target inverse kinematics technique
• Three-body decay of linear-chain states in ${}^{14}$C
• Density and Temperature of Bosons from Quantum Fluctuations
• Low densities in asymmetric nuclear matter
• Four-body correlations in nuclei
• Alpha Clustering from the Quartet Model
• Dipole excitation of ${}^6$Li and ${}^9$Be studied with an extended quantum molecular dynamics model
• System dependence of away-side broadening and $\alpha$-clustering light nuclei structure effect in dihadron azimuthal correlations
• Equation of Motion Method to strongly correlated Fermi systems and Extended RPA approaches
• Unified BCS-like model of pairing and alpha-correlations
• Three-alpha-cluster structure of the 0^+ states in ^{12}C and the effective alpha-alpha interactions
• Isoscalar monopole and dipole excitations of cluster states and giant resonances in ${}^{12}$C
• Monopole excitation of the Hoyle state and linear-chain state in 12C
• The container picture with two-alpha correlation for the ground state of ${}^{12}$C
• A stringent upper limit on the direct 3$\alpha$ decay of the Hoyle State in ${}^{12}$C
• Cluster structures in ${}^{12}$C from global energy density functionals
• Comparative variational studies of $0^{+}$ states in three-$\alpha$ models
• Critical temperature for $\alpha$-particle condensation in asymmetric nuclear matter
• Alpha-cluster Condensations in Nuclei and Experimental Approaches for their Studies
• Hoyle-analogue state in 13C studied with Antisymmetrized Molecular Dynamics
• Observation of Airy minimum in elastic and inelastic scattering of ${}^3$He from ${}^{12}$C at 50.5 and 60 MeV and alpha particle condensation in ${}^{12}$C
• Exploring the compactness of $\alpha$ cluster in ${}^{16}$O nuclei with relativistic ${}^{16}$O+${}^{16}$O collisions
• Evidence for strong refraction of ${}^3$He in an alpha-particle condensate
• Real-time evolution method and its application to 3$\alpha$ cluster system
• Competing Orders in One-Dimensional Half-Integer Fermionic Cold Atoms: A Conformal Field Theory Approach
• Container structure of alpha alpha Lambda clusters in ${}_{\Lambda }^9$Be
• $\alpha$ Clustering slightly above ${}^{100}$Sn in the Light of the New Experimental Data on the Superallowed $\alpha$ Decay
• Multi-cluster dynamics in ${}_{\Lambda }^{13}\mathrm{C}$ and analogy to clustering in ${}^{12}\mathrm{C}$
• Gas-like state of $\alpha$ clusters around ${}^{16}$O core in ${}^{24}$Mg
• Dineutron formation and breaking in ${}^8$He
• Two-proton momentum correlation from photondisintegration of $\alpha$-clustering light nuclei in the quasi-deuteron region
• Alpha-like clustering in ${}^{20}$Ne from a quartetting wave function approach
• Alpha-particle condensation: a nuclear quantum phase transition
• Almost medium-free measurement of the Hoyle state direct-decay component with a TPC
• Shell and alpha cluster structures in 8Be with tensor-optimized shell model
• Hindrance of the excitation of the Hoyle state and the ghost of the $2_2^{+}$ state in ${}^{12}$C
• Improved version of simplified method for including tensor effect in cluster models
• Investigation of the 9B nucleus and its cluster-nucleon correlations
• Analysis of clustering phenomena in ab initio approaches
• Electromagnetic field from asymmetric to symmetric heavy ion collision at 200 GeV/c
• Criterion for Bose-Einstein condensation in traps and self-bound systems
• $\alpha$ scattering cross sections on ${}^{12}$C with microscopic coupled-channel calculation
• Nuclear alpha-particle condensates: Definitions, occurrence conditions, and consequences
• Quartet correlations in N=Z nuclei induced by realistic two-body interactions
• Non-trivial effect for the large radius at the dripline of Oxygen isotopes
• Alpha matter on a lattice
• Thermal photons as a sensitive probe of $\alpha$-cluster in C+Au collisions at the BNL Relativistic Heavy Ion Collider
• Analysis of delocalization of clusters in linear-chain $\alpha$-cluster states with entanglement entropy
• Direct probing of the cluster structure in ${}^{12}$Be via $\alpha$-knockout reaction
• Effects of rotation and valence nucleons in molecular-like $\alpha$-chain nuclei
• 12C within the Semimicroscopic Algebraic Cluster Model
• Composition of nuclear matter with light clusters and Bose-Einstein condensation of $\alpha$ particles
• Alpha Conjugate Neck Structures in the Collisions of 35 MeV/nucleon 40Ca with 40Ca
• Folding model analysis of the inelastic $\alpha {+}^{12}$C scattering at medium energies, and the isoscalar transition strengths of the cluster states of ${}^{12}$C
• Case of Almost Redundant Components in 3 alpha Faddeev Equations
• Description of alpha-clustering of 8Be nucleus states in high-precision theoretical approach
• Bose-Einstein condensation of alpha clusters and new soft mode in 12C--52Fe 4N nuclei in field theoretical superfluid cluster model
• Dineutron correlations in quasi two-dimensional systems in a simplified model and possible relation to neutron-rich nuclei
• Open Problems in $\alpha$ Particle Condensation
• Cluster structures and monopole transitions of ${}^{14}$C
• Flow equations for cold Bose gases
• Effective field theory of Bose-Einstein condensation of $\alpha$ clusters and Nambu-Goldstone-Higgs states in ${}^{12}$C
• Explicit inclusion of spin-orbit contribution in THSR wave function
• Observation of ${}^6$He+$t$ cluster states in ${}^9$Li
• Resonant and Scattering States in the $\alpha +\alpha$ System from the Non-Localized Cluster Model
• Transition densities and form factors in the triangular $\alpha$-cluster model of ${}^{12}$C with application to ${}^{12}$C+$\alpha$ scattering
• alpha clustering and neutron-skin thickness of carbon isotopes
• Nonlocalized motion in two-dimensional container of $\alpha$ particles in $3^{-}$ and $4^{-}$ states of ${}^{12}$C
• Asymptotic characteristics of decay channels of light nuclei states in the ab initio approach
• Electronic and magnetic properties of Co_n Mo_m nanoclusters with n+m = x and 2<=x<=6 atoms from DFT calculations
• Internal One-Particle Density Matrix for Bose-Einstein Condensates with Finite Number of Particles in a Harmonic Potential
• Optimization of basis functions for the multi-configuration mixing using the Replica Exchange Monte-Carlo method and its application to ${}^{12}$C
• Investigation of the near-threshold cluster resonance in ${}^{14}\mathrm{C}$
• Tidal effects and the Proximity decay of nuclei
• Effect of initial-state geometric configurations on the nuclear liquid-gas phase transition
• Woods-Saxon-Gaussian Potential and Alpha-Cluster Structures of Alpha+Closed Shell Nuclei
• Bridging the quartet and pair pictures of isovector proton-neutron pairing
• Imprints of $\alpha$ clustering in the density profiles of ${}^{12}$C and ${}^{16}$O
• Microscopic calculations of 6He and 6Li with real-time evolution method
• 2$\alpha$+$t$ cluster structure in ${}^{11}$B
• Evidence of bicluster structure in the ground state of ${}^{20}$Ne
• Cluster-Daughter Overlap as a New Probe of Alpha-Cluster Formation in Medium-Mass and Heavy Even-Even Nuclei
• Cluster structure of 13C probed via the 7Li(9Be,13C*->9Be+alpha) reaction
• Three triton states in 9Li
• Clustering in nuclei at finite temperature
• Correlation in formation of ${}^8$Be nuclei and $\alpha$-particles in fragmentation of relativistic nuclei
• The study of the alpha formation probability in 10Be and 12Be within the microscopic cluster model
• Search for the 6$\alpha$ condensed state in ${}^{24}$Mg using the ${}^{12}\mathrm{C}+{}^{12}\mathrm{C}$ scattering
• Cluster model of 12C in density functional theory framework
• Machine learning method for ${}^{12}$C event classification and reconstruction in the active target time-projection chamber
• Quantum decoherence in the entanglement entropy of a composite particle and its relationship to coarse graining in the Husimi function
• The Hoyle Family: The search for alpha-condensate states in light nuclei
• Shape of 13C studied by the real-time evolution method
• Symplectic structure and monopole strength in 12C
• Role of Tensor Interaction as Salvation of Cluster Structure in ${}^{44}$Ti
• 16O within the Semimicroscopic Algebraic Cluster Model and the importance of the Pauli Exclusion Principle
• Consistent description for cluster dynamics and single-particle correlation
• Search for three alpha states around an ${}^{16}$O core in ${}^{28}$Si
• Present status of nuclear cluster physics and experimental perspectives
• Effects of the tensor force on low-energy heavy-ion fusion reactions: A mini review
• Bose-Einstein condensate of alpha particles in the ground state of nuclear matter?
• Open problems in nuclear structure near drip lines
• Recent Experimental Results on Nuclear Cluster Physics
• Probing pre-formed alpha particles in the ground state of nuclei
• A geometrical interpretation of the Thomas theorem and the Efimov States
• Repulsive Four-Body Interactions of $\alpha$ Particles and Quasi-Stable Nuclear $\alpha$-Particle Condensates in Heavy Self-Conjugate Nuclei
• Tensor correlations in ${}^4$He and ${}^8$Be with antisymmetrized quasi cluster model
• Tensor optimized Fermi sphere method for nuclear matter -- power series correlated wave function and a cluster expansion
• Investigation of the pairing effect in 10B nucleus compared with 10Be and 10C nuclei by using the extended THSR wave function
• Three-$\alpha$ configurations in the $0^{+}$ states of ${}^{12}\mathrm{C}$
• 2alpha+t cluster feature of $3/2_3^{-}$ state in ${}^{11}$B
• Alpha-Cluster formation in heavy alpha-emitters within a multistep model
• Cluster structure in stable and unstable nuclei
• Alpha-clustered hypernuclei and chiral SU(3) dynamics
• Cold dilute nuclear matter with $\alpha$-particle condensation in a generalized nonlinear relativistic mean-field model
• Evolution of clustering structure through the momentum distributions in ${}^{8-10}$Be isotopes
• Production and anisotropic flow of thermal photons in collision of $\alpha$-clustered carbon with heavy nuclei at relativistic energies
• Dineutron-dineutron correlation in ${}^8$He
• The Hoyle state in Nuclear Lattice EFT
• Description of $\alpha$-cluster tail in ${}^8$Be and ${}^{20}$Ne: Delocalization of $\alpha$ cluster because of quantum penetration
• Alpha particle condensation and nuclear rainbow scattering
• Supersolidity of the $\alpha$ cluster structure in the nucleus ${}^{12}$C
• Triple α Resonances in the Decay of Hot Nuclear Systems *
• ${}^{10}$B+$\alpha$ states with chain-like structures in ${}^{14}$N
• Coulomb Energy of alpha-Aggregates on a Soap Bubble Shape
• Production of $\alpha$-particle condensate states in heavy-ion collisions
• Drastic change in inelastic scattering depending on the development of dineutron correlation in ${}^{10}$Be
• Alpha-Particle condensation in nuclear systems: present status and perspectives
• New trial wave function for nuclear cluster structure of nuclei
• Entanglement entropy and Schmidt number as measures of delocalization of $\alpha$ clusters in one-dimensional nuclear systems
• Disentangling the pair and quartet condensates
• Alpha Clustering with a Hollow Structure --- Geometrical Structure of Alpha Clusters from Platonic Solids to Fullerene Shape
• Monopole Excitation to Cluster States
• Non-Abelian behavior of $\alpha$ Bosons in cold symmetric nuclear matter
• Effective Field Theory for Bound State Reflection
• How quantum bound states bounce and the structure it reveals
• Investigation of ${}^{23}$N in a three-body model
• Search for $\alpha$ condensed states in ${}^{13}$C using $\alpha$ inelastic scattering
• Probing the isoscalar excitations of 12C with inelastic alpha scattering
• The MC-QTAIM: A framework for extending the atoms in molecules analysis beyond purely electronic systems
• Resonances in ${}^{12}$C and ${}^{24}$Mg: what do we learn from a microscopic cluster theory?
• Unified description of pairing and quarteting correlations within the particle-hole-boson approach
• Cluster structures of the $0^{+}$ states of ${}_{\Lambda }^{13}\mathrm{C}$ with the 3$\alpha +\Lambda$ four-body orthogonality condition model
• Persistence of cluster structure in the ground state of ${}^{11}$B
• Integrable Model of Topological SO(5) Superfluidity
• Signatures of an $\alpha$ + core structure in ${}^{44}$Ti + ${}^{44}$Ti collisions at $\sqrt{s_{NN}}=5.02$ TeV by a multiphase transport model
• Shape of 12C
• Three-Dimensional Approach Applied to Quasi-stationary States of Deformed $\alpha$-Emitters
• Quartet correlations near the surface of $N=Z$ nuclei
• Theory for Quartet Condensation in Fermi Systems with Applications to Nuclei and Nuclear Matter
• Identifying $\alpha$-cluster configurations in ${}^{20}$Ne via ultracentral Ne+Ne Collisions
• Semi-microscopic construction of multi-$\alpha$ cluster spaces
• Clustering effects induced by light nuclei
• Ginzburg-Landau Formalism for 2n-Body Condensation
• Manifestation of the divergence between antisymmetrized-molecular-dynamics and container pictures of ${}^9$Be via ${}^9$Be($p,pn$)${}^8$Be knockout reaction
• Polaronic neutron in dilute alpha matter: A $p$-wave Bose polaron
• Systematic study for relation between nuclear structure and reaction in ${}^{10}$Be nucleus
• The Oxygen core inside the Magnesium isotopes
• Pairing and alpha-like quartet condensation in N=Z nuclei
• Signature of a possible $\alpha$-cluster state in $N=Z$ doubly-magic ${}^{56}$Ni
• The isoscalar monopole strength of 13C
• Supersolidity of $\alpha$ cluster structure in ${}^{40}$Ca
• Structure of the quartetting ground state of $N=Z$ nuclei
• Quasiparticle light elements and quantum condensates in nuclear matter
• Symplectic symmetry approach to clustering in atomic nuclei: The case of ${}^{24}$Mg
• Bose-Einstein condensation of five $\alpha$ clusters in ${}^{20}$Ne and supersolidity
• Clustering in nuclei from ab initio nuclear lattice simulations
• Few-body correlations in the QCD phase diagram
• Quantum Phase Transitions within a nuclear cluster model and an effective model of QCD
• Quartetting Wave Function Approach to ${}^{20}$Ne: Shell Model and Local Density Approximation
• Temperature of the hot $\alpha$-source: a guidance to probe the Bose-Einstein condensation of $\alpha$ clusters in the heavy-ion collision
• Clustering in hadrons and light nuclei from Lorentz boosted form factors
• Clusters in light stable and exotic nuclei
• Two-body cluster entangled structure in the ${\mathcal{H}}_1\otimes {\mathcal{H}}_2$ Hilbert space
• Examination of the $\alpha$-cluster breaking in the four $0^{+}$ bands of ${}^{12}$C with the variation of multiple bases of the antisymmetrized molecular dynamics
• Six-$\alpha$ cluster Bose-Einstein condensation and supersolid ${}^{12}$C($0_2^{+})$+${}^{12}$C($0_2^{+})$ molecular structure in ${}^{24}$Mg