Density Functional Theory studies of cluster states in nuclei

Abstract

The framework of nuclear energy density functionals is applied to a study of the formation and evolution of cluster states in nuclei. The relativistic functional DD-ME2 is used in triaxial and reflection-asymmetric relativistic Hartree-Bogoliubov calculations of relatively light $N=Z$ and neutron-rich nuclei. The role of deformation and degeneracy of single-nucleon states in the formation of clusters is analysed, and interesting cluster structures are predicted in excited configurations of Be, C, O, Ne, Mg, Si, S, Ar and Ca $N=Z$ nuclei. Cluster phenomena in neutron-rich nuclei are discussed, and it is shown that in neutron-rich Be and C nuclei cluster states occur as a result of molecular bonding of $\alpha$-particles by the excess neutrons, and also that proton covalent bonding can occur in ${}^{10}$C.

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• Global systematics of octupole excitations in even-even nuclei
• Ab initio calculation of the spectrum and structure of ${}^{16}$O
• Evidence for tetrahedral symmetry in 16O
• Nuclear Charge Radius of ${}^{12}$Be
• Molecular-orbital structure in neutron-rich C isotopes
• Linear chain structure of four-$\alpha$ clusters in ${}^{16}$O
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• Localization in light nuclei
• On the origin of nuclear clustering
• Cluster-liquid transition in finite saturated fermionic systems
• Localization and clustering in the nuclear Fermi liquid
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• Hybrid phase at the quantum melting of the Wigner crystal
• Existence of exotic torus configuration in high-spin excited states of ${}^{40}$Ca
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• Self-consistent Green's functions calculation of the nucleon mean-free path
• Open Problems in $\alpha$ Particle Condensation

Cited by in corpus (47)

• Microscopic Clustering in Light Nuclei
• Multidimensionally-constrained covariant density functional theories --- nuclear shapes and potential energy surfaces
• Rod-shaped Nuclei at Extreme Spin and Isospin
• Emergent geometry and duality in the carbon nucleus
• Nucleon localization and fragment formation in nuclear fission
• Stability of the linear chain structure for ${}^{12}$C in covariant density functional theory on a 3D lattice
• Quadrupole and octupole collectivity and cluster structures in neon isotopes
• From superdeformation to extreme deformation and clusterization in the N~Z nuclei of the A~40 mass region
• Origin of Low-Lying Enhanced E1 Strength in Rare-Earth Nuclei
• The long and winding road from chiral effective Lagrangians to nuclear structure
• 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
• Cluster structures in ${}^{12}$C from global energy density functionals
• Ab initio study of the beryllium isotopes ${}^7$Be to ${}^{12}$Be
• Real-time evolution method and its application to 3$\alpha$ cluster system
• Angular momentum and parity projected multidimensionally constrained relativistic Hartree-Bogoliubov model
• Alpha-particle condensation: a nuclear quantum phase transition
• Low density nuclear matter with light clusters in a generalized nonlinear relativistic mean-field model
• Microscopic description of the self-conjugate ${}^{108}$Xe and ${}^{104}$Te $\alpha$-decay chain
• Single-particle spatial dispersion and clusters in nuclei
• The possibility of ${}^{14}$C cluster as a building block of medium mass nuclei
• Characteristic αand ^{6}He decays of the linear-chains in ^{16}C
• Effects of rotation and valence nucleons in molecular-like $\alpha$-chain nuclei
• From cluster structures to nuclear molecules: the role of nodal structure of the single-particle wave functions
• Octupole deformation in neutron-rich actinides and superheavy nuclei and the role of nodal structure of single-particle wavefunctions in extremely deformed structures of light nuclei
• Clustering in nuclei at finite temperature
• Cluster model of 12C in density functional theory framework
• Low-energy cluster vibrations in N = Z nuclei
• Phase diagram of alpha matter with Skyrme-like scalar interaction
• Shape of 13C studied by the real-time evolution method
• The interplay of single-particle and collective motions in the low-lying states of ${}_{\Lambda }^{21}$Ne with quadrupole-octupole correlations
• Probing cold nuclear matter with energy correlators
• Visualization of nuclear many-body correlations with the most probable configuration of nucleons
• A variety of clustering in ${}^{18}$O
• Cold dilute nuclear matter with $\alpha$-particle condensation in a generalized nonlinear relativistic mean-field model
• Global performance of multireference density functional theory for low-lying states in $sd$-shell nuclei
• Low-energy monopole strength in spherical and deformed nuclei : cluster and soft modes
• Monopole and dipole transitions of the cluster states of 18O
• alpha+28Si and 16O+16O molecular states, and their isoscalar monopole strengths
• Cluster structures, ellipsoidal shapes and nuclear molecules in light A=12-50 nuclei
• Localisation and alpha radioactivity
• Supersolidity of $\alpha$ cluster structure in ${}^{40}$Ca
• Impact of pion tensor force on alpha clustering in ${}^{20}$Ne
• 4$\alpha$ linear-chain state produced by ${}^9$Be+${}^9$Be collision
• Clustering in nuclei from ab initio nuclear lattice simulations
• Carbon burning at stellar energies
• Density-driven $\alpha$-particle clustering in neutron-rich oxygen isotopes
• Clusterization aspects in the states of non-rotating and fast rotating nuclei