A study of the ground-state energy of {sup 4}He with nucleon-nucleon potentials

Journal Article · Thu Sep 15 04:00:00 EDT 2011 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2011.05.007· OSTI ID:21583335

Gad, Kh

Ground-state properties are evaluated for the finite nucleus {sup 4}He starting from realistic nucleon-nucleon interactions within the framework of the Green's function approach. For the sake of comparison, the same calculations are performed using the Brueckner-Hartree-Fock approximation. For that purpose four high-quality modern nucleon-nucleon interactions represented in momentum space are employed: the Argonne V18, CD-Bonn, Bonn A and N{sup 3}LO potentials. In these potentials, the effects of charge dependence are taken into account. Additional binding energy is obtained from the inclusion of the hole-hole scattering term within the framework of the Green function approach. It has been shown that the Green function results agree well with the results obtained by accurate methods for few-nucleon systems such as the Faddeev-Yakubovsky calculation. In this study, a comparison of the calculated ground-state energies, obtained by using the Green function approach and different nucleon-nucleon potentials, with experimental values is carried out. The results show good agreement between the calculated values and the experimental ones. - Highlights: > We present ground-state energies of the helium nucleus. > We consider four high-quality modern nucleon-nucleon potentials. > It is shown that the Green function approach gives quite good results.

• OSTI ID: 21583335
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 9 Vol. 326; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
APPROXIMATIONS
BARYON-BARYON INTERACTIONS
BARYONS
BINDING ENERGY
CALCULATION METHODS
ELEMENTARY PARTICLES
ELEMENTS
ENERGY
ENERGY LEVELS
EVEN-EVEN NUCLEI
FERMIONS
FLUIDS
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GREEN FUNCTION
GROUND STATES
HADRON-HADRON INTERACTIONS
HADRONS
HARTREE-FOCK METHOD
HELIUM
HELIUM 4
HELIUM ISOTOPES
INTERACTIONS
ISOTOPES
LIGHT NUCLEI
NONMETALS
NUCLEI
NUCLEON-NUCLEON INTERACTIONS
NUCLEON-NUCLEON POTENTIAL
NUCLEONS
PARTICLE INTERACTIONS
POTENTIALS
RARE GASES
SCATTERING
STABLE ISOTOPES