Microscopic Clustering in Light Nuclei

Abstract

We review recent experimental and theoretical progress in understanding the microscopic details of clustering in light nuclei. We discuss recent experimental results on $\alpha$-conjugate systems, molecular structures in neutron-rich nuclei, and constraints for ab initio theory. We then examine nuclear clustering in a wide range of theoretical methods, including the resonating group and generator coordinate methods, antisymmetrized molecular dynamics, Tohsaki-Horiuchi-Schuck-Röpke wave function and container model, no-core shell model methods, continuum quantum Monte Carlo, and lattice effective field theory.

Accepted for publication in Review of Modern Physics, 50 pages, 28 figures, minor change to title

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• Nuclear Charge Radii of Be-7,9,10 and the one-neutron halo nucleus Be-11
• Ab Initio Many-Body Calculations of n-3H, n-4He, p-{3,4}He, and n-10Be Scattering
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• Quantum Monte Carlo calculations of neutron-alpha scattering
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• Universal Properties of the Four-Body System with Large Scattering Length
• Alpha-particle condensation in 16O via a full four-body OCM calculation
• Tuning for Three-flavors of Anisotropic Clover Fermions with Stout-link Smearing
• Unified ab initio approach to bound and unbound states: no-core shell model with continuum and its application to 7He
• Evidence for tetrahedral symmetry in 16O
• Nuclear Structure in the Framework of the Unitary Correlation Operator Method
• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• alpha-alpha Scattering in Halo Effective Field Theory
• 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
• Evidence for Symplectic Symmetry in Ab Initio No-Core Shell Model Results for Light Nuclei
• Cluster structures of excited states in ${}^{14}$C
• Negative parity states of ${}^{11}$B and ${}^{11}$C and the similarity with $^{12}C
• High precision probe of the fully sequential decay width of the Hoyle state in ${}^{12}$C
• Alpha Cluster Formation and Decay in Quartetting Wave Function Approach
• Benchmarks of the full configuration interaction, Monte Carlo shell model, and no-core full configuration methods
• Ab initio calculations of the isotopic dependence of nuclear clustering
• Pair decay width of the Hoyle state and carbon production in stars
• Antisymmetrized molecular dynamics studies for exotic clustering phenomena in neutron-rich nuclei
• Density Functional Theory studies of cluster states in nuclei
• Elastic proton scattering of medium mass nuclei from coupled-cluster theory
• Alpha particle clusters and their condensation in nuclear systems
• States of Carbon-12 in the Skyrme Model
• Quark mass variation constraints from Big Bang nucleosynthesis
• Constraining the 6.05 MeV 0${}^{+}$ and 6.13 MeV 3${}^{-}$ cascade transitions in the ${}^{12}$C($\alpha$,$\gamma$)${}^{16}$O reaction using the Asymptotic Normalization Coefficients
• Experimental investigation of a linear-chain structure in the nucleus 14C
• Unified description of ${}^6$Li structure and deuterium-${}^4$He dynamics with chiral two- and three-nucleon forces
• Cluster-liquid transition in finite saturated fermionic systems
• Cluster virial expansion for nuclear matter within a quasiparticle statistical approach
• Novel Extrapolation Method in the Monte Carlo Shell Model
• Breathing-like excited state of the Hoyle state in ${}^{12}\mathrm{C}$
• Two-particle scattering on the lattice: Phase shifts, spin-orbit coupling, and mixing angles
• Investigation of ${}^9$Be from nonlocalized clustering concept
• How many-body correlations and $\alpha$-clustering shape ${}^6$He
• 3alpha clustering in the excited states of 16C
• Auxiliary Field Diffusion Monte Carlo calculation of nuclei with A<40 with tensor interactions
• Clustering and Triaxial Deformations of ${}^{40}$Ca
• Effects of $\alpha$-cluster breaking on 3$\alpha$ cluster structures in ${}^{12}$C
• ${}^4\mathrm{He}$+$n$+$n$ continuum within an ab initio framework
• Anthropic considerations in nuclear physics
• Spectral convexity for attractive SU(2N) fermions
• Container evolution for cluster structures in ${}^{16}\mathrm{O}$
• Evidence for Triangular D'(3h) Symmetry in 13C
• Variational procedure for nuclear shell-model calculations and energy-variance extrapolation
• Proton radii of Be, B, and C isotopes
• Characterization of the proposed 4-α cluster state candidate in 16O
• Structure of ${}^{20}$Ne states in the resonance ${}^{16}$O+$\alpha$ elastic scattering
• The container picture with two-alpha correlation for the ground state of ${}^{12}$C
• Breaking and restoration of rotational symmetry on the lattice for bound state multiplets
• Neutron-proton scattering at next-to-next-to-leading order in Nuclear Lattice Effective Field Theory
• Understanding emergent collectivity and clustering in nuclei from a symmetry-based no-core shell-model perspective
• Fermion-dimer scattering using an impurity lattice Monte Carlo approach and the adiabatic projection method
• Regularization Methods for Nuclear Lattice Effective Field Theory
• Further comments on nuclear forces in the chiral limit
• The Hoyle state and its relatives
• Uncertainties of Euclidean Time Extrapolation in Lattice Effective Field Theory
• 2alpha+t cluster feature of $3/2_3^{-}$ state in ${}^{11}$B
• Wigner symmetry, Large Nc and Renormalized One Boson Exchange Potential
• New Generation of the Monte Carlo Shell Model for the K Computer Era
• On the intersection of the shell, collective and cluster models of atomic nuclei I: Multi-shell excitations

Cited by in corpus (149)

• Nuclear effective field theory: status and perspectives
• Toward the discovery of matter creation with neutrinoless double-beta decay
• Recent developments in radioactive charged-particle emissions and related phenomena
• Physics of nuclei: Key role of an emergent symmetry
• Quasi-free Neutron Knockout Reaction Reveals a Small $s$-orbital Component in the Borromean Nucleus ${}^{17}$B
• Event Generators for High-Energy Physics Experiments
• From bound states to the continuum
• Study of ground state properties of carbon isotopes with deformed relativistic Hartree-Bogoliubov theory in continuum
• Skyrmions and clustering in light nuclei
• Emergent geometry and duality in the carbon nucleus
• Rotating deformed halo nuclei and shape decoupling effects
• Stability of the linear chain structure for ${}^{12}$C in covariant density functional theory on a 3D lattice
• Positive-parity linear-chain molecular band in ${}^{16}$C
• Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework
• Two-proton emission and related phenomena
• ${}^{16}{\mathrm{O}}^{16}\mathrm{O}$ at RHIC and the LHC comparing $\alpha$ clustering vs substructure
• Cluster structure of light nuclei
• Experimental investigation of $\alpha$-condensation in light nuclei
• Convenient location of a near-threshold proton-emitting resonance in ${}^{11}$B
• Shape coexistence in even-even nuclei: A theoretical overview
• Alpha clustering and alpha-capture reaction rate from ab initio symmetry-adapted description of ${}^{20}$Ne
• Dynamics of the linear-chain alpha cluster in microscopic time-dependent relativistic density functional theory
• Effective density functionals beyond mean field
• Nonlocalized Clustering and Evolution of Cluster Structure in Nuclei
• Angular momentum projection in the deformed relativistic Hartree-Bogoliubov theory in continuum
• Emergent symplectic symmetry in atomic nuclei: Ab initio symmetry-adapted no-core shell model
• 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
• Status on ${}^{12}\mathrm{C}+{}^{12}\mathrm{C}$ fusion at deep subbarrier energies: impact of resonances on astrophysical $S^{\ast }$ factors
• Quantitative description of the ${}^{20}$Ne($p$,$p\alpha$)${}^{16}$O cross section as a means of probing the surface $\alpha$ amplitude
• Quantum Magic and Multi-Partite Entanglement in the Structure of Nuclei
• Alpha Clustering from the Quartet Model
• System dependence of away-side broadening and $\alpha$-clustering light nuclei structure effect in dihadron azimuthal correlations
• Emergence of simple patterns in many-body systems: from macroscopic objects to the atomic nucleus
• 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
• Self-learning Emulators and Eigenvector Continuation
• Proton decays in ${}^{16}$Ne and ${}^{18}$Mg and isospin-symmetry breaking in carbon isotopes and isotones
• Ab initio study of the beryllium isotopes ${}^7$Be to ${}^{12}$Be
• $\alpha$-cluster structure above double-shell closures and $\alpha$-decay of ${}^{104}$Te
• Angular momentum and parity projected multidimensionally constrained relativistic Hartree-Bogoliubov model
• Gamow Shell Model description of Li isotopes and their mirror partners
• Isotope shifts in ${}^{20,22}$Ne -- Precision measurements and global analysis in the framework of intermediate coupling
• Multi-cluster dynamics in ${}_{\Lambda }^{13}\mathrm{C}$ and analogy to clustering in ${}^{12}\mathrm{C}$
• Anisotropy fluctuation and correlation in central $\alpha$-clustered ${}^{12}$C+${}^{197}$Au collisions
• Zero- and finite-temperature electromagnetic strength distributions in closed- and open-shell nuclei from first principles
• Observation of the near-threshold intruder $0^{-}$ resonance in ${}^{12}$Be
• Oxygen-16 Spectrum from Tetrahedral Vibrations and their Rotational Excitations
• Alpha-particle condensation: a nuclear quantum phase transition
• The Role of Baryon Structure in Neutron Stars
• Analysis of clustering phenomena in ab initio approaches
• The possibility of ${}^{14}$C cluster as a building block of medium mass nuclei
• Wigner SU(4) symmetry, clustering, and the spectrum of ${}^{12}$C
• $\alpha$ scattering cross sections on ${}^{12}$C with microscopic coupled-channel calculation
• Universal physics of bound states of a few charged particles
• Direct probing of the cluster structure in ${}^{12}$Be via $\alpha$-knockout reaction
• Variation of multi-Slater determinants in antisymmetrized molecular dynamics and its application to ${}^{10}$Be with various clustering
• Observation of ${}^6$He+$t$ cluster states in ${}^9$Li
• Cluster structures and monopole transitions of ${}^{14}$C
• Determination of the cluster-decay branching ratio from a near-threshold molecular state in ${}^{10}$Be
• Resonant and Scattering States in the $\alpha +\alpha$ System from the Non-Localized Cluster Model
• Investigating the predicted breathing-mode excitation of the Hoyle state
• Nonlocalized motion in two-dimensional container of $\alpha$ particles in $3^{-}$ and $4^{-}$ states of ${}^{12}$C
• Transition densities and form factors in the triangular $\alpha$-cluster model of ${}^{12}$C with application to ${}^{12}$C+$\alpha$ scattering
• Resonances and scattering in microscopic cluster models with the complex-scaled generator coordinate method
• Precision measurement of the $E2$ transition strength to the 2${}_1^{+}$ state of ${}^{12}$C
• Cluster-Daughter Overlap as a New Probe of Alpha-Cluster Formation in Medium-Mass and Heavy Even-Even Nuclei
• Effective interactions between nuclear clusters
• Clustering in nuclei at finite temperature
• Evidence of bicluster structure in the ground state of ${}^{20}$Ne
• Probing configuration of $\alpha$ clusters with spectator particles in relativistic heavy-ion collisions
• Accuracy of the mean-field theory in describing ground-state properties of light nuclei
• Breaking and restoration of rotational symmetry in the low-energy spectrum of light alpha-conjugate nuclei on the lattice I: ${}^8\mathrm{Be}$ and ${}^{12}\mathrm{C}$
• Trojan horse method as surrogate indirect approach to study resonant reactions in nuclear astrophysics
• Cluster model of 12C in density functional theory framework
• ${}^8$He and ${}^9$Li cluster structures in light nuclei
• 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
• Consistent description for cluster dynamics and single-particle correlation
• Effects of the tensor force on low-energy heavy-ion fusion reactions: A mini review
• Medium-induced bosonic clusters in a Bose-Fermi mixture: Towards simulating cluster formations in neutron-rich matter
• Scattering phase shifts and mixing angles for an arbitrary number of coupled channels on the lattice
• Directly probing existence of $\alpha$-cluster structure in ${}^{20}$Ne by relativistic heavy-ion collisions
• Deformation probes for light nuclei in their collisions at relativistic energies
• Nuclear ground states in a consistent implementation of the time-dependent density matrix approach
• Visualization of nuclear many-body correlations with the most probable configuration of nucleons
• Binding of the three-hadron $D{D}^{\ast }K$ system from the lattice effective field theory
• Cluster configurations in Li isotopes in the variation of multi-bases of the antisymmetrized molecular dynamics
• Investigation of the pairing effect in 10B nucleus compared with 10Be and 10C nuclei by using the extended THSR wave function
• A study of nuclear structure of light nuclei at the Electron-Ion Collider
• Demonstration of the Universality of Molecular Structures in Prolate Deformed Nuclei
• Local alpha-removal strength in the mean-field approximation
• 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
• Sign-Problem-Free Nuclear Quantum Monte Carlo Simulation
• Generator coordinate method for nuclear octupole excitations: status and perspectives
• Perspectives on few-body cluster structures in exotic nuclei
• Effective Mass of $\alpha$-Cluster in ${}^{12}$C Nucleus
• $\alpha$ + core structure described with an additional interaction in the nuclear matter saturation region
• The MC-QTAIM: A framework for extending the atoms in molecules analysis beyond purely electronic systems
• Discrete symmetries in the cluster shell model
• Flow in collisions of light nuclei
• Towards modeling cluster structure of ${}^8$Be with chiral interaction
• $\alpha$-cluster decay from ${}^{24}$Mg resonances produced in ${}^{12}$C(${}^{16}$O,${}^{24}$Mg)$\alpha$ reaction
• Three-$\alpha$ configurations of the second $J^{\pi }=2^{+}$ state in ${}^{12}$C
• Resonances in ${}^{12}$C and ${}^{24}$Mg: what do we learn from a microscopic cluster theory?
• Emulating generator coordinate method with extended eigenvector continuation: Lipkin-Meshkov-Glick model
• Signatures of $\alpha$-clustering in ${}^{12}$C and ${}^{13}$C
• Magnetic dipole moments as a strong signature for $\alpha$-clustering in even-even self-conjugate nuclei
• Cluster structures, ellipsoidal shapes and nuclear molecules in light A=12-50 nuclei
• Signatures of an $\alpha$ + core structure in ${}^{44}$Ti + ${}^{44}$Ti collisions at $\sqrt{s_{NN}}=5.02$ TeV by a multiphase transport model
• Manifestation of the divergence between antisymmetrized-molecular-dynamics and container pictures of ${}^9$Be via ${}^9$Be($p,pn$)${}^8$Be knockout reaction
• Gamow shell model predictions for six-proton unbound nucleus ${}^{20}$Si
• Understanding the total width of the $3_1^{-}$ state in ${}^{12}\mathrm{C}$
• Report from the A.I. For Nuclear Physics Workshop
• Investigation of Direct Nuclear Reactions in a Storage Ring Using In-Ring Detection
• Ab initio informed 20Ne(p, p$\alpha$)16O reaction elucidates the emergence of alpha clustering from chiral potentials
• Semi-microscopic construction of multi-$\alpha$ cluster spaces
• The extremes of neutron richness
• Low-energy ${}^{12}$C continuum states in three-$\alpha$ model
• Impact of pion tensor force on alpha clustering in ${}^{20}$Ne
• Coexistence of quartets and pairs in even-even $N>Z$ nuclei
• The lowest excited states of 14C and 14O nuclei within a five-cluster model
• Gamow shell model study of the 17Ne(p, p) reaction and of isospin symmetry breaking in 18Na
• Generalized coherent states satisfying the Pauli principle in a nuclear cluster model
• Status of experimental knowledge on the unbound nucleus ${}^{13}$Be
• Peculiarity of the ${}^{12}$C$(0^{+})$ and ${}^{12}$C$(2^{+})$ energy spectrum in a 3$\alpha$ model
• Revisiting the variational two-particle reduced density matrix for nuclear systems
• Signature of a possible $\alpha$-cluster state in $N=Z$ doubly-magic ${}^{56}$Ni
• Odd-mass nuclei in the cluster shell model
• Bose-Einstein condensation in finite drops of alpha particles
• Quadrupole transitions of ${}^{10}$C and their isospin symmetry with ${}^{10}$Be
• Shell and cluster structures in ${}^{20}$Ne in the variation of multiple bases of the antisymmetrized molecular dynamics
• Collective effects in O-O and Ne-Ne collisions at $\sqrt{s_{\mathrm{NN}}}$=5.36 TeV from a hybrid approach
• Quantum Phase Transitions within a nuclear cluster model and an effective model of QCD
• The conceptual and mathematical foundations of the MC-QTAIM
• Temperature of the hot $\alpha$-source: a guidance to probe the Bose-Einstein condensation of $\alpha$ clusters in the heavy-ion collision
• Phase-space excluded-volume approach for light clusters in nuclear medium
• 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
• Fusion and reactions of $\alpha$+${}^8$Be in the Hoyle resonance and associated resonances region
• Two-center harmonic oscillator basis for Skyrme-DFT calculations (I): formalism and Proof of Principle
• Triangular symmetry in cluster nuclei
• Fermion quartets on the square lattice
• Clusterization aspects in the states of non-rotating and fast rotating nuclei
• A comparison study of collisions at relativistic energies involving light nuclei
• A time-dependent Hartree-Fock study of triple-alpha dynamics
• The ${}^9$Be photodisintegration cross section within Cluster Effective Field Theory
• Clusters in light stable and exotic nuclei
• The ${}^8$Be nucleus and the Hoyle state in dissociation of relativistic nuclei
• Spatial Structure of the ${}^{12}$C Nucleus in a 3$\alpha$ Model with Deep Potentials Containing Forbidden States