Ground State Wave Functions in the Hyperspherical Formalism for Nuclei with A > 4

Abstract

The general formulation of a technically advantageous method to find the ground state solution of the Schrodinger equation in configuration space for systems with a number of particles A greater than 4 is presented. The wave function is expanded in pair correlated hyperspherical harmonics beyond the lowest order approximation and then calculated in the Faddeev approach. A recent efficient recursive method to construct antisymmetric A-particle hyperspherical harmonics is used. The accuracy is tested for the bound state energies of nuclei with A = 6,8,12. The high quality of the obtained results becomes evident from a comparison with other approaches.

17 pages, 1 figure, Submitted to Nucl. Phys. A

References in corpus (3)

• Precise solution of few-body problems with stochastic variational method on correlated Gaussian basis
• Response Functions from Integral Transforms with a Lorentz Kernel
• Translationally invariant treatment of pair correlations in nuclei: I. Spin and isospin dependent correlations

Cited by in corpus (20)

• Recent developments in no-core shell-model calculations
• A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
• Few-nucleon systems in translationally invariant harmonic oscillator basis
• The Lorentz Integral Transform (LIT) method and its applications to perturbation induced reactions
• State Dependent Effective Interaction for the Hyperspherical Formalism
• Four-quark spectroscopy within the hyperspherical formalism
• Symmetry-guided large-scale shell-model theory
• State Dependent Effective Interaction for the Hyperspherical Formalism with Noncentral Forces
• Modern Ab Initio Approaches and Applications in Few-Nucleon Physics with A \ge 4
• From the lightest nuclei to the equation of state of asymmetric nuclear matter with realistic nuclear interactions
• Power counting in chiral effective field theory and nuclear binding
• Benchmark calculation of inclusive electromagnetic responses in the four-body nuclear system
• Test of J-matrix inverse scattering potentials on electromagnetic reactions of few-nucleon systems
• Extrapolation uncertainties in the importance-truncated No-Core Shell Model
• Center-of-mass problem in truncated configuration interaction and coupled-cluster calculations
• Nonsymmetrized hyperspherical harmonics with realistic NN potentials
• Corrections to nucleon capture cross sections computed in truncated Hilbert spaces
• Hyperspherical harmonic study of identical-flavor four-quark systems
• Calculations for nuclear matter and finite nuclei within and beyond energy--density--functional theories through interactions guided by effective field theory
• Hyperspherical cluster model for bosons: application to sub-threshold halo states in helium drops