Investigation of Ground State Nuclear Structure Features of 238U Nuclei by Using Skyrme-Hartree-Fock Method
Abstract
In this study, the ground state properties of the 238U nucleus were investigated using a phenomenological potential Skyrme-force. The nuclear structure properties were calculated using the nuclear calculation code "HAFOMN" and the computer code "HFBRAD", which can calculate with the Hartree-Fock method and the Hartree-Fock-Bogoliubov method. In this investigation, many Skyrme force parameters were used, among which the S6 and SKX parameter sets were successful. Equidistant radial grids named N-grid and R-step in the “HAFOMN” nuclear program code are scanned with 0.05 steps, N-Grid from 50 to 200 and R-step from 0.05 to 1. As a result of this scan, the nuclear charge radius of the 238U nucleus was obtained exactly as the value in the literature (5.8571 fm) when the S6 Skyrme parameter was used. The most suitable value for the total binding energy was obtained experimentally in the SKM parameter set. It has been observed that the calculations of S6 and SKM Skyrme-force parameters obtained with SHF and SHFB provide very successful predictions when compared with the experimentally determined values.
Keywords
238U, Skyrme Force, Hartree-Fock, RMS radii, Binding Energie
References
- [1] Skyrme T. H. R., The effective nuclear potential, Nuclear Physics, 9 (1958) 615–634.
- [2] Vautherin D., Brink D. M., Hartree-Fock Calculations with Skyrme’s Interaction. I. Spherical Nuclei, Physical Review C, 5(3) (1972) 626–647.
- [3] Krivine H., Treiner J., Bohigas O., Derivation of a fluid-dynamical lagrangian and electric giant resonances, Nuclear Physics A, 336(2) (1980) 155–184.
- [4] Brack M., Guet C., Håkansson H. B., Selfconsistent semiclassical description of average nuclear properties—a link between microscopic and macroscopic models, Physics Reports, 123(5) (1985) 275–364.
- [5] Chabanat E., Bonche P., Haensel P., Meyer J., Schaeffer R., New Skyrme effective forces for supernovae and neutron rich nuclei, Physica Scripta, T56 (1995) 231–233.
- [6] Lalazissis G. A., Raman S., Ring P., Ground-state properties of even–even nuclei in the relativistic mean-field theory, Atomic Data and Nuclear Data Tables, 71(1) (1999) 1–40.
- [7] Tel E., Aydin A., Kaplan A., Şarer B., New calculation method for initial exciton numbers on nucleon induced pre-equilibrium reactions, Physical Review C, 77(5) (2008) 054605.
- [8] Stone J. R., Reinhard P. G., The Skyrme interaction in finite nuclei and nuclear matter, Progress in Particle and Nuclear Physics, 58(2) (2007) 587–657.
- [9] Tel E., Şahin H. M., Kaplan A., Aydin A., Altınok T., Investigation of the properties of the nuclei used on the new generation reactor technology systems, Annals of Nuclear Energy, 35(2) (2008) 220–227.
- [10] Guo-Qiang L., A systematic study of nuclear properties with Skyrme forces, Journal of Physics G: Nuclear and Particle Physics, 17(1) (1991) 1–34.