Cluster structures within Fermionic Molecular Dynamics

Abstract

The many-body states in an extended Fermionic Molecular Dynamics approach are flexible enough to allow the description of nuclei with shell model nature as well as nuclei with cluster and halo structures. Different many-body configurations are obtained by minimizing the energy under constraints on collective variables like radius, dipole, quadrupole and octupole deformations. In the sense of the Generator Coordinate Method we perform variation after projection and multiconfiguration calculations. The same effective interaction derived from realistic interactions by means of the Unitary Correlation Operator Method is used for all nuclei. Aspects of the shell model and cluster nature of the ground and excited states of C12 are discussed. To understand energies and radii of neutron-rich He isotopes the soft-dipole mode is found to be important.

5 pages, proceedings of the 8th International conference on Clustering Aspects of Nuclear Structure and Dynamics, Nov. 2003, Nara, Japan, to be published in Nucl. Phys. A

Cited by in corpus (90)

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• Fusion and Direct Reactions of Halo Nuclei at Energies around the Coulomb Barrier
• Nuclear charge radius of ${}^8$He
• Evidence for Triangular D_3h Symmetry in 12C
• Collective Modes in Light Nuclei from First Principles
• Comparing and contrasting nuclei and cold atomic gases
• Matrix Elements and Few-Body Calculations within the Unitary Correlation Operator Method
• Nuclear Structure based on Correlated Realistic Nucleon-Nucleon Potentials
• Cluster structures of excited states in ${}^{14}$C
• Negative parity states of ${}^{11}$B and ${}^{11}$C and the similarity with $^{12}C
• Resonance states in 12C and alpha-particle condensation
• The many facets of the (non relativistic) Nuclear Equation of State
• Antisymmetrized molecular dynamics studies for exotic clustering phenomena in neutron-rich nuclei
• One-dimensional $\alpha$ condensation of $\alpha$-linear-chain states in ${}^{12}\mathrm{C}$ and ${}^{16}\mathrm{O}$
• Nonlocalized cluster dynamics and nuclear molecular structure
• Isoscalar dipole transition as a probe for asymmetric clustering
• Stability of the linear chain structure for ${}^{12}$C in covariant density functional theory on a 3D lattice
• Deformation of C isotopes
• Emergence of rotational bands in ab initio no-core configuration interaction calculations of the Be isotopes
• Structure of low-lying 12C-resonances
• Matter and charge radius of 6He in the hyperspherical-harmonics approach
• Coexistence of cluster structure and superdeformation in ${}^{44}$Ti studied with deformed-basis antisymmetrized molecular dynamics
• Alpha Cluster Structure and Exotic States in a Self-Consistent Model for Light Nuclei
• Cluster structure of light nuclei
• Cluster formation probability in the trans-tin and trans-lead nuclei
• Cluster structures in ${}^{11}$B
• Simplified modeling of cluster-shell competition in ${}^{20}$Ne and ${}^{24}$Mg
• Momentum distributions of $\alpha$-particles from decaying low-lying ${}^{12}$C-resonances
• Emergence of rotational bands in ab initio no-core configuration interaction calculations of light nuclei
• Effects of $\alpha$-cluster breaking on 3$\alpha$ cluster structures in ${}^{12}$C
• Range corrections for two-neutron halo nuclei in effective theory
• Be-$\alpha$ correlations in the linear-chain structure of C isotopes
• Energy distributions from three-body decaying many-body resonances
• Selective population and neutron decay of the first excited state of semi-magic O-23
• Novel and simple description for a smooth transition from $\alpha$-cluster wave functions to $jj$-coupling shell model wave functions
• Deformation and cluster structures in ${}^{12}$C studied with configuration mixing using Skyrme interactions
• On the lifetime of the 2+ state in 10C
• Helium halo nuclei from low-momentum interactions
• Evidence for Triangular D'(3h) Symmetry in 13C
• Emergent Sp(3,R) dynamical symmetry in the nuclear many-body system from an ab initio description
• Collective rotation from ab initio theory
• 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
• Cluster structures in ${}^{12}$C from global energy density functionals
• Probing ab initio emergence of nuclear rotation
• Microscopic description of translationally-invariant core+N+N overlap functions
• Multi-particle correlation function to study short-lived nuclei
• Consistent description of 12C and 16O using finite range three-body interaction
• Non-statistical decay and $\alpha$-correlations in the ${}^{12}$C+${}^{12}$C fusion-evaporation reaction at 95 MeV
• Monopole oscillations in light nuclei with a molecular dynamics approach
• Thermal properties of light nuclei from ${}^{12}$C+${}^{12}$C fusion-evaporation reactions
• Natural orbital description of the halo nucleus 6He
• α-clustering effects in dissipative 12C+12C reactions at 95 MeV
• Robust ab initio prediction of nuclear electric quadrupole observables by scaling to the charge radius
• Improved version of simplified method for including tensor effect in cluster models
• Deformations in N=14 isotones
• First Measurement of the $B(E2;3/2^{-}\to 1/2^{-})$ Transition Strength in ${}^7$Be: Testing Ab Initio Predictions for $A=7$ Nuclei
• Quadrupole moments and proton-neutron structure in p-shell mirror nuclei
• A Microscopic Cluster Description of 12C
• $\alpha$ scattering cross sections on ${}^{12}$C with microscopic coupled-channel calculation
• Natural orbitals for the ab initio no-core configuration interaction approach
• Non-trivial effect for the large radius at the dripline of Oxygen isotopes
• Nuclear alpha-particle condensates: Definitions, occurrence conditions, and consequences
• Photodisintegration of light nuclei for testing a correlated realistic interaction in the continuum
• Multifragmentation and the liquid-gas phase transition: an experimental overview
• Necessary conditions for accurate computations of three-body partial decay widths
• Low-lying level structure of $\Lambda$ hypernuclei and spin dependence of $\Lambda N$ interaction with antisymmetrized molecular dynamics
• Cluster structures and monopole transitions of ${}^{14}$C
• Transition densities and form factors in the triangular $\alpha$-cluster model of ${}^{12}$C with application to ${}^{12}$C+$\alpha$ scattering
• Three-body properties of low-lying ${}^{12}$Be resonances
• Cluster model of 12C in density functional theory framework
• Role of Tensor Interaction as Salvation of Cluster Structure in ${}^{44}$Ti
• The nuclear charge radius of ${}^{13}\mathrm{C}$
• Dynamics of two-cluster systems in phase space
• 2alpha+t cluster feature of $3/2_3^{-}$ state in ${}^{11}$B
• Tensor correlations in ${}^4$He and ${}^8$Be with antisymmetrized quasi cluster model
• Multi-neutron transfer in ${}^8$He induced reactions near the Coulomb barrier
• Production and anisotropic flow of thermal photons in collision of $\alpha$-clustered carbon with heavy nuclei at relativistic energies
• Alpha Clustering with a Hollow Structure --- Geometrical Structure of Alpha Clusters from Platonic Solids to Fullerene Shape
• Combined few-body and mean-field model for nuclei
• New trial wave function for nuclear cluster structure of nuclei
• Generator coordinate method for nuclear octupole excitations: status and perspectives
• Towards modeling cluster structure of ${}^8$Be with chiral interaction
• Electromagnetic Observables in Few-Nucleon Systems
• Long Range Tensor Correlations in Charge and Parity Projected Fermionic Molecular Dynamics
• Two-neutron correlations in microscopic wave functions of He-6, He-8 and C-12
• Understanding the total width of the $3_1^{-}$ state in ${}^{12}\mathrm{C}$
• Systematic study for relation between nuclear structure and reaction in ${}^{10}$Be nucleus
• Implementation of chiral two-nucleon forces to nuclear many-body methods with Gaussian-wave packets
• Nucleon-nucleon potentials in phase-space representation