Bulk Properties of Symmetric Nuclear and Pure Neutron Matter
- 1 1Department of Physics, Faculty of Science, Sohag University, Sohag, Egypt 2Department of Physics, Faculty of Science, Taif University, Taif, Saudi Arabia
- 2 Department of Physics, Faculty of Science, Cairo University, Gizza, Egypt
Abstract
We study the equation of state (EOS) of symmetric nuclear and neutron matter within the framework of the Brueckner-Hartree-Fock (BHF) approach which is extended by including a density-dependent contact interaction to achieve the empirical saturation property of symmetric nuclear matter. This method is shown to affect significantly the nuclear matter EOS and the density dependence of nuclear symmetry energy at high densities above the normal nuclear matter density, and it is necessary for reproducing the empirical saturation property of symmetric nuclear matter in a nonrelativistic microscopic framework. Realistic nucleon-nucleon interactions which reproduce the nucleon-nucleon phase shifts are used in the present calculations.
- Kh. S. A. Hassaneen, H. M. Abo-Elsebaa, E. A. Sultan and H. M. M. Mansour, “Nuclear Binding Energy and Symmetry Energy of Nuclear Matter with Modern Nucleon-Nucleon Po-tentials,” Annals of Physics, Vol. 326, No. 3, 2011, pp. 566-577. doi:10.1016/j.aop.2010.11.010
- D. Vautherin and D. M. Brink, “Hartree-Fock Calculations with Skyrme's Interaction. I. Spherical Nuclei,” Physical Review C, Vol. 5, No. 3, 1972, pp. 626-647. doi:10.1103/PhysRevC.5.626
- J. R. Stone and P. -G. Reinhardt, “The Skyrme Interaction in Finite Nuclei and Nuclear Matter,” Progress Particle Nuclear Physics, Vol. 58, No. 2, 2007, pp. 587-657. doi:10.1016/j.ppnp.2006.07.001
- D. Vretenar, A. Afanas-jev, G. A. Lalazissis and P. Ring, “Relativistic Hart-ree-Bogoliubov Theory: Static and Dynamic Aspects of Exotic Nuclear Structure,” Physics Reports, Vol. 409, No. 3-4, 2005, pp. 101-259. doi:10.1016/j.physrep.2004.10.001
- R. Machleidt, “High-Precision, Charge-Dependent Bonn Nucleon-Nucleon Potential,” Physical Review C, Vol. 63, 2001, pp. 024001 (32 pages). doi:10.1103/PhysRevC.63.024001
- V. G. J. Stoks, R. A. M. Klomp, C. P. F. Terheggen and J. J. de Swart, “Construction of High-Quality NN Potential,” Physical Review C, Vol. 49, 1994, pp. 2950-2962. doi:10.1103/PhysRevC.49.2950
- W. H. Dickhoff and C. Barbieri, “Self-Consistent Green’s Function Method for Nuclei and Nuclear Matter,” Progress in Particle and Nuclear Physics, Vol. 52, No. 24, pp. 377-496. doi:10.1016/j.ppnp.2004.02.038
- Y. Dewulf, W. H. Dick-hoff, D. Van Neck, E. R. Stoddard and M. Waroquier, “Satura-tion of Nuclear Matter and Short-Range Correlations,” Physical Review Letters, Vol. 90, 2003, pp. 152501(4 pages). doi:10.1103/PhysRevLett.90.152501
- T. Frick, K. Gad, H. Müther and P. Czerski, Nuclear Self-Energy and Realistic Inte-ractions. Physical Review C, Vol. 65, 2002, pp. 034321(13 pages). doi:10.1103/PhysRevC.65.034321
- T. Frick, Kh. S. A. Hassaneen, D. Rohe and H. Müther, “Spectral Function at High Missing Energies and Momenta,” Physical Review C, Vol. 70, 2004, pp. 024309(5 pages). doi:10.1103/PhysRevC.70.024309
- Kh. S. A. Hassaneen and H. Müther, “Correlations and Spectral Functions In Asymmetric Nuclear Matter,” Physical Review C, Vol. 70, 2004, pp. 054308 (5pages). doi:10.1103/PhysRevC.70.054308
- Kh. Gad and Kh. S. A. Hassaneen, “Equation of State for Neutron-Rich Matter with Self-Consistent Green Function Approach,” Nuclear Physics A, Vol. 793, No. 1-4, 2007, pp. 67-78. doi:10.1016/j.nuclphysa.2007.06.015