Hartree-Fock Calculations of ¹⁶O and ⁴⁰Ca Nuclei Using Fish-Bone Potential

Azza O. El-Shal^1*, N. A. Mansour², M. M. Taha¹, Omnia S. A. Qandil¹

¹Mathematics and Theoretical Physics Department, Nuclear Research Center, Atomic Energy Authority, Cairo, Egypt.
²Physics Department, Faculty of Science, Zagazig University, Zagazig, Egypt.

DOI: 10.4236/jamp.2014.29098                

Abstract

Hartree-Fock calculations are carried out to describe some properties of ¹⁶O and ⁴⁰Ca nuclei using the two forms of fish-bone potential (I and II). A computer simulation search program has been introduced to solve this problem. The Hilbert space was restricted to three dimensional variational space spanned by single spherical harmonic oscillator orbits. Binding energies, root mean square radii and form factors are found to have a good fit with experimental data.

Keywords

Nuclear Structure, Hartree-Fock Theory, Fish-Bone Potential

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Ripka, G., Baranger, M. and Vogt, E. (1968) Advances in Nuclear Physics, 1. Phenum.
[2]	Guleria, N., Dhiman, S.K. and Shyam, R. (2012) A study of Λ Hypernuclei within the Skyrme-Hartree-Fock Model. Nuclear Physics A, 886, 71-91.
[3]	Sekizawa, K. and Yabana, K. (2013) Ar-xiv: 1303.0552 [nucl-th]
[4]	Ripka, G. and Porneuf, M. (1976) Proceedings of the International Conference on Nuclear Self-Consistent Fields, North Holland.
[5]	Gnezdilov, N.V., Borzov, I.N., Saperstein, E.E. and Tolokonnikov, S.V. (2014) Arxiv:1401.1319v4 [nucl-th]
[6]	Moszkowski, S.A. (1957) Encyclopedia of Physics. Springer Verlag, Heidebberge.
[7]	Brink, D.M. (1966) Proceedings of International School of Physics. Enerco Fermi, Academic Press, New York.
[8]	Kramer, P. (1981) Clustering Phenomena in Nuclei. Proceedings of the International Symposium, Attempto Verlag, Tubingen.
[9]	Bech, C. (2012) Clustering Effect Induced by Light Nuclei. Proceeding of the 12th Cluster Conference, Debrecen, September 2012.
[10]	Day, J.P., McEwen, J.E., Elhanafy, M., Smith, E., Woodhouse, R. and Papp, Z. (2011) Physical Review C, 84, Article ID: 034001. http://dx.doi.org/10.1103/PhysRevC.84.034001
[11]	Papp, Z. and Moszkowski, S. (2008) Arxiv: 0803.0184v2 [nucl-th]
[12]	Schmid, E.W. (1980) Zeitschrift für Physik A, 297, 105.
[13]	Schmid, E.W. (1981) Zeitschrift für Physik A, 397, 311.
[14]	Kircher, R. and Schmid, E.W. (1981) Zeitschrift für Physik A, 299, 241.
[15]	Oryu, S. and Kamada, H. (1989) Nuclear Physics A, 493, 91. http://dx.doi.org/10.1016/0375-9474(89)90534-4
[16]	Sick, L. and Mc Carthy, J.S. (1970) Nuclear Physics A, 150, 631. http://dx.doi.org/10.1016/0375-9474(70)90423-9
[17]	Massen, S.E. and Moustakidis, H.C. (1999) Physical Review C, 60.