No-core shell-model calculations with starting- energy-independent multi-valued effective interactions

Abstract

Large-space no-core shell model calculations have been performed for A=3-6 nuclei, using a starting-energy-independent two-body effective interaction derived by application of the Lee-Suzuki similarity transformation. This transformation can be performed by direct calculation or by different iteration procedures, which are described. A possible way of reducing the auxiliary potential influence on the two-body effective interaction has also been introduced. The many-body effects have been partially taken into account by employing the recently introduced multi-valued effective interaction approach. Dependence of the He5 energy levels on the harmonic-oscillator frequency as well as on the size of the model space has been studied. The Reid 93 nucleon-nucleon potential has been used in the study, but results have also been obtained using the Nijmegen II potential for comparison.

19 pages. REVTEX. 2 PostScript figures

Cited by in corpus (58)

• The Shell Model as Unified View of Nuclear Structure
• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Recent developments in no-core shell-model calculations
• Non-Empirical Interactions for the Nuclear Shell Model: An Update
• Few-nucleon systems in translationally invariant harmonic oscillator basis
• Shell-model calculations and realistic effective interactions
• Large-basis shell-model calculations for p-shell nuclei
• Ab-initio coupled-cluster effective interactions for the shell model: Application to neutron-rich oxygen and carbon isotopes
• State Dependent Effective Interaction for the Hyperspherical Formalism
• Spectra and binding energy predictions of chiral interactions for 7Li
• Alternative evaluations of halos in nuclei
• State Dependent Effective Interaction for the Hyperspherical Formalism with Noncentral Forces
• First principles description of the giant dipole resonance in 16O
• Modern Ab Initio Approaches and Applications in Few-Nucleon Physics with A \ge 4
• Shell-model calculations for the three-nucleon system
• Probing the 6He halo structure with elastic and inelastic proton scattering
• Emergent properties of nuclei from ab initio coupled-cluster calculations
• Open $sd$-shell nuclei from first principles
• Four-nucleon shell-model calculations in a Faddeev-like approach
• Cluster form factor calculation in the ab initio no-core shell model
• Three-body continuum discretization in a basis of transformed harmonic oscillator states
• Open problems in theory of nuclear open quantum systems
• Inversion doublets of 3N+N cluster structure in excited states of ${}^4$He
• Local scale transformations and extended matter distributions in nuclei
• Ab-initio no-core shell model study of ${}^{10-14}$B isotopes with realistic NN interactions
• Large-basis shell-model calculation of 10C->10B Fermi matrix element
• Nuclear Reactions from Lattice QCD
• Benchmark calculation of inclusive electromagnetic responses in the four-body nuclear system
• Effective interactions for light nuclei: an effective (field theory) approach
• Nature of the first excited state of He-4
• $Abinitio$ calculations for Gamow-Teller strengths in $sd$ shell
• Total 4He Photoabsorption Cross Section Revisited: Correlated HH versus Effective Interaction HH
• Hartree-Fock Approximation for the $Abinitio$ No-Core Shell Model
• Isoscalar Hamiltonians for light atomic nuclei
• NN potentials from inverse scattering in the J-matrix approach
• Magnetic dipole probes of the sd and pf shell crossing in the A=36,38 argon isotopes
• Allowed Gamow-Teller Excitations from the Ground State of 14N
• Ab initio no-core shell model description of ${}^{10-14}$C isotopes
• Effective interactions and operators in no-core shell model
• First order optical potentials and 25 to 40 MeV proton elastic scattering
• Ab initio no-core shell model study of ${}^{18-23}$O and ${}^{18-24}$F isotopes
• Shell model results for nuclear ${\beta }^{-}$-decay properties of $sd$ shell nuclei
• Ab-initio no-core shell model study of ${}^{18-24}$Ne isotopes
• Effects of isospin-symmetry violation on tests of the standard model using parity-violating electron scattering
• No-core shell model for 48-Ca, 48-Sc and 48-Ti
• Ab initio no-core shell model study of neutron-rich ${}^{18,19,20}$C isotopes
• Projection Operator Formalisms and the Nuclear Shell Model
• Long Range Tensor Correlations in Charge and Parity Projected Fermionic Molecular Dynamics
• On the excluded space in applications of Feshbach projection formalism
• Nuclear structure properties of Si and P isotopes with the microscopic effective interactions
• The effective interaction hyperspherical harmonics method for non-local potentials
• Rescattering effects in proton interaction with light neutron rich nuclei
• Comparison of techniques for computing shell-model effective operators
• Testing ${}^{6,8}$He density distributions by calculations of total reaction cross-sections of ${}^{6,8}$He+${}^{28}$Si
• No-core shell model for A = 47 and A = 49
• The Shell Model, the Renormalization Group and the Two-Body Interaction
• Resonances and collisional properties of neutron-rich helium isotopes in the adiabatic hyperspherical representation