Model-space nuclear matter calculations with the Paris nucleon-nucleon potential

1986 ◽  
Vol 33 (2) ◽  
pp. 717-724 ◽  
Author(s):  
T. T. S. Kuo ◽  
Z. Y. Ma ◽  
R. Vinh Mau
1972 ◽  
Vol 5 (3) ◽  
pp. 911-913 ◽  
Author(s):  
S. Bhattacharyya ◽  
M. K. Roy

2019 ◽  
Vol 34 (39) ◽  
pp. 1950322
Author(s):  
Marcello Baldo ◽  
Zahra Asadi Aghbolaghi ◽  
Isaac Vidaña ◽  
Mohsen Bigdeli

It has been found in previous works [M. Baldo and K. Fukukawa, Phys. Rev. Lett. 113, 241501 (2014); K. Fukukawa, M. Baldo, G. F. Burgio, L. Lo Monaco and H.-J. Schulze, Phys. Rev. 92, 065802 (2015)] that the nucleon–nucleon potential of [Y. Fujiwara, M. Kohno, C. Nakamoto and Y. Suzuki Phys. Rev. C 64, 054001 (2001); Y. Fujiwara et al., Phys. Rev. C 65, 014002 (2001)] gives an accurate saturation point in symmetric nuclear matter once the three hole-line contributions are included in the Brueckner–Bethe–Goldstone expansion without the addition of three-body forces in the nuclear Hamiltonian. The potential is based on a quark model of nucleons and on the quark–quark interaction together with quark exchange processes. These features introduce an intrinsic nonlocality of the nucleon–nucleon interaction. In order to clarify the role of the quark degrees of freedom and of the nonlocality in the saturation, we perform a comparative study of this potential and the traditional meson exchange models, exemplified in the CD-Bonn potential. We find that at the Brueckner–Hartree–Fock approximation, which corresponds to the two hole-line level of approximation, the dominant modification of the nucleon–nucleon interaction with respect to CD-Bonn is incorporated in the s-wave channels, where the quark degrees of freedom should be more relevant, in particular for the short range quark exchange processes. However, when the three hole-line contribution is included, we find that the higher partial waves play a relevant role, mainly in the term that describes the effect of the medium on the off-shell propagation of the nucleon.


1977 ◽  
Vol 70 (1) ◽  
pp. 1-5 ◽  
Author(s):  
O. Benhar ◽  
C.Ciofi Degli Atti ◽  
S. Fantoni ◽  
S. Rosati

2003 ◽  
Vol 18 (21) ◽  
pp. 3629-3636 ◽  
Author(s):  
G. H. Bordbar

The effects of charge independence breaking of nucleon–nucleon interaction on the bulk properties of nuclear matter are investigated. Our results indicate that at high densities, the inclusion of charge dependence in the nucleon–nucleon potential affects the bulk properties of nuclear matter. However, at low densities, this effect is not considerable. It is seen that the change of our results for the nuclear matter calculations due to the breaking of the charge independence increases by increasing density. It is shown that the energy contribution of the 1S0 channel is sensitive to considering the charge dependence in the nucleon–nucleon interaction. It is indicated that the effects of charge independence breaking on the calculated equation of state of nuclear matter can be ignored.


1967 ◽  
Vol 45 (3) ◽  
pp. 1289-1295 ◽  
Author(s):  
J. M. Pearson

Elementary nuclear-matter calculations are performed with five different central nucleon–nucleon potentials. These are all static with a hard core of radius 0.4 fm and an OPEP tail, but are characterized by vastly different forms in the intermediate region. It is concluded that nuclear matter is insensitive to the precise form of the central part of the nucleon–nucleon potential everywhere beyond the short-range repulsive region, provided the nucleon–nucleon data are well fitted.


1981 ◽  
Vol 59 (1) ◽  
pp. 69-81 ◽  
Author(s):  
M. Dey ◽  
B. C. Samanta ◽  
J. Dey

A complete nuclear matter calculation in lowest order Brueckner theory is done for a super soft core nucleon–nucleon potential due to de Tourreil, Rouben, and Sprung and the effect of including isobar degrees of freedom on binding energy, saturation, and half-shell G-matrices is considered in the frame work of the coupled channel formalism. The singlet and triplet S-state effective interaction is derived and its density and momentum dependence is studied. Comparison is made with the results obtained from the Reid soft core potential.


1990 ◽  
Vol 05 (14) ◽  
pp. 1071-1080 ◽  
Author(s):  
S. W. HUANG ◽  
M. Z. FU ◽  
S. S. WU ◽  
S. D. YANG

The equation of state of the asymmetric nuclear matter is calculated with the Gogny D1 effective density-dependent nucleon-nucleon interaction and the Coulomb interaction in the framework of the finite-temperature HF method with the rearrangement term. The dependence of the thermodynamical properties such as the critical temperature of the liquid-gas phase transition, the chemical potential, the compression modulus and the entropy on the Coulomb interaction in nuclear matter is treated by using a shielded two-body Coulomb potential and this method has been found to be a reasonable and effective approach.


2005 ◽  
Vol 14 (02) ◽  
pp. 255-267 ◽  
Author(s):  
KAAN MANİSA ◽  
ÜLFET ATAV ◽  
RIZA OGUL

A Variational Monte Carlo method (VMC) is described for the evaluation of the ground state properties of nuclear matter. Equilibrium properties of symmetric nuclear matter and neutron matter are calculated by the described VMC method. The Urbana ν14 potential is used for the nucleon–nucleon interactions in the calculations. Three- and more-body interactions are included as a density dependent potential term. Total, kinetic and potential energies per particle are obtained for nuclear and neutron matter. Pressure values of nuclear and neutron matter are also calculated at various densities. The binding energy of nuclear matter is found to be -16.06 MeV at a saturation density of 0.16 fm -3. The results obtained are in good agreement with those obtained by various authors with different potentials and techniques.


Sign in / Sign up

Export Citation Format

Share Document