https://doi.org/10.1140/epja/i2015-15098-7
Regular Article - Theoretical Physics
Nuclear and neutron matters at low density
Physics Department, Faculty of Science, Sohag University, Sohag, Egypt
* e-mail: khalafgad@yahoo.com
Received:
21
April
2015
Revised:
19
July
2015
Accepted:
27
July
2015
Published online:
13
August
2015
In this study, symmetric and asymmetric nuclear matter, as well as pure neutron matter in the low-density regime, where the density ranges 0.01 fm−3 ρ 0.13 fm−3, have been investigated. Two different realistic and accurate two-body forces are considered. These include Argonne V18 and the CD-Bonn, which give quite different equations of state. The binding energy per nucleon as a function of the density is calculated using the Brueckner-Hartree-Fock approximation. Both the conventional (gap) and continuous choice of single-particle energies are utilized. For the sake of comparison, the equation of state within the self-consistent Green’s function approach is calculated using the CD-Bonn potential. The contribution of the hole-hole terms leads to a repulsive contribution to the energy per nucleon which increases with the nuclear density. Significantly, very good agreement between the experimental symmetry energy values and those calculated in the self-consistent Green’s function and BHF approaches especially at low density, has been accomplished. Finally, The results are compared with those from various many-body approaches, such as variational and relativistic mean field approaches.
© SIF, Springer-Verlag Berlin Heidelberg, 2015