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

Abstract

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.

Authors:
Publication Date:
OSTI Identifier:
21583335
Resource Type:
Journal Article
Journal Name:
Annals of Physics (New York)
Additional Journal Information:
Journal Volume: 326; Journal Issue: 9; Other Information: DOI: 10.1016/j.aop.2011.05.007; PII: S0003-4916(11)00098-4; Copyright (c) 2011 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Journal ID: ISSN 0003-4916
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BINDING ENERGY; GREEN FUNCTION; GROUND STATES; HARTREE-FOCK METHOD; HELIUM; HELIUM 4; NUCLEON-NUCLEON INTERACTIONS; NUCLEON-NUCLEON POTENTIAL; NUCLEONS; SCATTERING; APPROXIMATIONS; BARYON-BARYON INTERACTIONS; BARYONS; CALCULATION METHODS; ELEMENTARY PARTICLES; ELEMENTS; ENERGY; ENERGY LEVELS; EVEN-EVEN NUCLEI; FERMIONS; FLUIDS; FUNCTIONS; GASES; HADRON-HADRON INTERACTIONS; HADRONS; HELIUM ISOTOPES; INTERACTIONS; ISOTOPES; LIGHT NUCLEI; NONMETALS; NUCLEI; PARTICLE INTERACTIONS; POTENTIALS; RARE GASES; STABLE ISOTOPES

Citation Formats

Gad, Kh., E-mail: khalafgad@yahoo.com. A study of the ground-state energy of {sup 4}He with nucleon-nucleon potentials. United States: N. p., 2011. Web. doi:10.1016/j.aop.2011.05.007.
Gad, Kh., E-mail: khalafgad@yahoo.com. A study of the ground-state energy of {sup 4}He with nucleon-nucleon potentials. United States. doi:10.1016/j.aop.2011.05.007.
Gad, Kh., E-mail: khalafgad@yahoo.com. Thu . "A study of the ground-state energy of {sup 4}He with nucleon-nucleon potentials". United States. doi:10.1016/j.aop.2011.05.007.
@article{osti_21583335,
title = {A study of the ground-state energy of {sup 4}He with nucleon-nucleon potentials},
author = {Gad, Kh., E-mail: khalafgad@yahoo.com},
abstractNote = {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.},
doi = {10.1016/j.aop.2011.05.007},
journal = {Annals of Physics (New York)},
issn = {0003-4916},
number = 9,
volume = 326,
place = {United States},
year = {2011},
month = {9}
}