Calculation of the Alpha--Particle Ground State within the Hyperspherical Harmonic Basis

Abstract

The problem of calculating the four--nucleon bound state properties for the case of realistic two- and three-body nuclear potentials is studied using the hyperspherical harmonic (HH) approach. A careful analysis of the convergence of different classes of HH functions has been performed. A restricted basis is chosen to allow for accurate estimates of the binding energy and other properties of the 4He ground state. Results for various modern two-nucleon and two- plus three-nucleon interactions are presented. The 4He asymptotic normalization constants for separation in 2+2 and 1+3 clusters are also computed.

29 pages, 4 figures, 11 tables, revtex4

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• Convergence properties of {\itshape ab initio} calculations of light nuclei in a harmonic oscillator basis
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• Global-Vector Representation of the Angular Motion of Few-Particle Systems II
• Benchmark calculations for 3H, 4He, 16O and 40Ca with ab-initio coupled-cluster theory
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• alpha-particle photoabsorption with a realistic nuclear force
• Asymptotic normalization coefficients from ab initio calculations
• Proton-${}^3$He elastic scattering at low energies
• Low energy $n-\nuc{3}{H}$ scattering : a novel testground for nuclear interaction
• An R-matrix package for coupled-channel problems in nuclear physics
• Benchmark calculation of n-3H and p-3He scattering
• N-d Elastic Scattering Using the Hyperspherical Harmonics Approach with Realistic Local and Non-Local Interactions
• Nuclear polarization corrections in the mu-4He+ Lamb shift
• Non-symmetrized hyperspherical harmonic basis for $A$-bodies
• Calculation of the ${}^6$Li ground state within the hyperspherical harmonic basis
• Comparative study of three-nucleon force models in $A=3,4$ systems
• Three-Nucleon Bound State in a Spin-Isospin Dependent Three Dimensional Approach
• Low-Energy Inelastic Neutrino Reactions on 4He
• A new insight into the observation of spectroscopic strength reduction in atomic nuclei: implication for the physical meaning of spectroscopic factors
• Benchmark calculation of p-3H and n-3He scattering
• Ab initio calculations of nuclear widths via an integral relation
• The parity-violating asymmetry in the 3He(n,p)3H reaction
• Variational description of continuum states in terms of integral relations
• Jacobi no-core shell model for p-shell nuclei
• The harmonic hyperspherical basis for identical particles without permutational symmetry
• Photonuclear sum rules and the tetrahedral configuration of ${}^4$He
• Coherent deeply virtual Compton scattering off ${}^4$He
• Solutions of the bound state Faddeev-Yakubovsky equations in three dimensions by using NN and 3N potential models
• Matching universal behavior with potential models
• Bound State Calculations of the Three-Dimensional Yakubovsky Equations with the inclusion of Three-Body Forces
• Nuclear Structure Calculations with Low-Momentum Potentials in a Model Space Truncation Approach
• Monte Carlo Calculation for the neutron-rich Ca isotopes
• Nonsymmetrized hyperspherical harmonics with realistic NN potentials
• Analyzing powers Ayy, Axx, Axz and Ay in the dd->3Hen reaction at 270 MeV
• Theoretical description of three- and four-nucleon scattering states using bound-state-like wave functions
• Summation of Parquet diagrams as an ab initio method in nuclear structure calculations
• Incoherent deeply virtual Compton scattering off ${}^4$He
• Six-bodies calculations using the Hyperspherical Harmonics method
• Comparative study of ${}^6$He $\beta$-decay based on different similarity-renormalization-group evolved chiral interactions
• Computing an orthonormal basis of symmetric or antisymmetric hyperspherical harmonics
• The ${}^3$He$(e,e^{\prime }p{)}^2$H and ${}^4$He$(e,e^{\prime }p{)}^3$H reactions at high momentum transfer
• Wavelet-Harmonic Integration Methods
• Generalized parton distributions of light nuclei
• Theoretical study of the ${}^4\mathrm{He}(\gamma ,\mathrm{p}{)}^3\mathrm{H}$ and ${}^4\mathrm{He}(\gamma ,\mathrm{n}{)}^3\mathrm{He}$ reactions
• The excited state of the $\alpha$-particle: a benchmark study
• Yakubovsky scheme to study the 4- and 5-nucleon systems in the case of alpha-state structure with spin-dependent nucleon-nucleon potentials
• A small parameter approach for few-body problems
• Deeply virtual Compton Scattering off ${}^4$He