Calculation of the {alpha}-particle ground state within the hyperspherical harmonic basis

Journal Article · Tue Feb 01 04:00:00 EST 2005 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.71.024006· OSTI ID:20695927

Viviani, M; Kievsky, A ^[1]; Rosati, S ^[1]

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1. Istituto Nazionale di Fisica Nucleare, Via Buonarroti 2, I-56100 Pisa (Italy)

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 {sup 4}He ground state. Results for various modern two-nucleon and two- plus three-nucleon interactions are presented. The origin of the isospin T=1 and T=2 admixtures in the {sup 4}He ground state is discussed in detail. The {sup 4}He asymptotic normalization constants for separation in 2+2 and 1+3 clusters are also computed.

• OSTI ID: 20695927
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 2 Vol. 71; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALPHA PARTICLES
BINDING ENERGY
BOUND STATE
CALCULATION METHODS
CLUSTER MODEL
GROUND STATES
HELIUM 4
ISOSPIN
NUCLEAR FORCES
NUCLEAR POTENTIAL
NUCLEONS
THREE-BODY PROBLEM