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.

References in corpus (10)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• The Skyrme Interaction in finite nuclei and nuclear matter
• DIRHB -- a relativistic self-consistent mean-field framework for atomic nuclei
• Evidence for Triangular D_3h Symmetry in 12C
• Evidence for tetrahedral symmetry in 16O
• Localization in light nuclei
• Cluster-liquid transition in finite saturated fermionic systems
• Alpha Cluster Structure and Exotic States in a Self-Consistent Model for Light Nuclei
• Open Problems in $\alpha$ Particle Condensation

Cited by in corpus (26)

• Rod-shaped Nuclei at Extreme Spin and Isospin
• Emergent geometry and duality in the carbon nucleus
• Nucleon localization and fragment formation in nuclear fission
• Origin of Low-Lying Enhanced E1 Strength in Rare-Earth Nuclei
• 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
• Ab initio study of the beryllium isotopes ${}^7$Be to ${}^{12}$Be
• Angular momentum and parity projected multidimensionally constrained relativistic Hartree-Bogoliubov model
• Low density nuclear matter with light clusters in a generalized nonlinear relativistic mean-field model
• Effects of rotation and valence nucleons in molecular-like $\alpha$-chain nuclei
• Clustering in nuclei at finite temperature
• Low-energy cluster vibrations in N = Z nuclei
• Cluster model of 12C in density functional theory framework
• Phase diagram of alpha matter with Skyrme-like scalar interaction
• The interplay of single-particle and collective motions in the low-lying states of ${}_{\Lambda }^{21}$Ne with quadrupole-octupole correlations
• Shape of 13C studied by the real-time evolution method
• 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
• Monopole and dipole transitions of the cluster states of 18O
• Low-energy monopole strength in spherical and deformed nuclei : cluster and soft modes
• alpha+28Si and 16O+16O molecular states, and their isoscalar monopole strengths
• Impact of pion tensor force on alpha clustering in ${}^{20}$Ne
• Supersolidity of $\alpha$ cluster structure in ${}^{40}$Ca
• 4$\alpha$ linear-chain state produced by ${}^9$Be+${}^9$Be collision
• Clusterization aspects in the states of non-rotating and fast rotating nuclei
• Carbon burning at stellar energies