Abstract
We investigate the dependence of the shell correction energy on the parameters as they occur in the Nilsson model and the single particle model with a Woods-Saxon potential. We give criteria, how these parameters should be chosen in order that the shell correction energies become fairly model-independent. The different models yield now a value of about −20 MeV for208Pb, substantially larger than in previous work. Its relation to the remainder of the mass formula fit is discussed. We find that shell energies have an extremum. The minimum occurs close to the conventional parameter values (except the potential diffuseness of the protons) and close to the minimum of the total binding energy. The minimum in shell energy corresponds to a maximum bunching of single particle states. The gross properties of these extremal shells agree considerably better with the experimental spectra (for both the neutrons and the protons) than those of conventional model parameters.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Brack, M., Damgaard, J., Pauli, H.C., Jensen, A.S., Strutinsky, V.M., Wong, C.Y.: Rev. Mod. Phys.44, 320 (1972)
Myers, W.D., Swiatecki, W.J.: Arkiv Fysik36, 343 (1967)
Myers, W.D., Swiatecki, W.J.: Nucl. Phys.81, 1 (1966)
Myers, W.D.: Preprint LBL-3428 (1975)
Strutinsky, V.M.: Nucl. Phys. A95, 420 (1967)
Strutinsky, V.M.: Nucl. Phys. A122, 1 (1968)
Nilsson, S.G., Tsang, C.F., Sobiczewsky, A., Szymanski, Z., Wychec, S., Gustafson, C., Lamm, I.L., Möller, P., Nilsson, B.: Nucl. Phys. A131, 1 (1969)
Möller, P., Nix, R.I.: In: Physics and Chemistry of Fission, Proceedings of the Rochester Symposium 1973, IAEA, Vienna, 1974, p. 103
Brack, M., Quentin, P.: In: Physics and Chemistry of Fission, Proceedings of the Rochester Symposium 1973, IAEA, Vienna, 1974, p. 231
Villars, F.: In: Many Body Description of Nuclear Structure and Reactions, Proc. S.I.F., Course XXXVI, ed. C. Bloch, New York, London 1966, p. 1
Ko, C.M., Pauli, H.C., Brack, M., Brown, G.E.: Nucl. Phys. A236, 269 (1974)
Pauli, H.C.: Phys. Letters7C, 36 (1973)
Myers, W.D.: Nucl. Phys. A145, 387 (1970)
Bohr, A., Mottelson, B.: Nuclear Structure, Vol. 1. New York: Benjamin 1969
Vautherin, D., Brink, D.M.: Phys. Rev. C5, 626 (1972)
Myers, W.D., Swiatecki, W.J.: Ann. Phys. N.Y.,55, 395 (1969)
Myers, W.D., Swiatecki, W.J.: Ann. Phys. N.Y.,84, 186 (1974)
Von Groote, H.: Proceedings of the International Workshop I on Gross Properties of Nuclei and Nuclear Excitations -Hirschegg, 1973, p. 17
Myers, W.D.: Nucl. Phys. A204, 465 (1973)
Blomqvist, J., Wahlborn, S.: Arkiv Fysik16, 545 (1960)
Brown, G.E., Gunn, J.H., Gould, P.: Nucl. Phys.46, 598 (1963)
Nemirowskij, P.E., Chepurnov, V.A.: Sov. J. Nucl. Phys.3, 730 (1966)
Chepurnov, V.E.: Sov. J. Nucl. Phys.6, 696 (1968)
Rost, E.: Phys. Rev.154, 994 (1967)
Rost, E.: Phys. Lett.26B, 184 (1967)
Hamamoto, I.: Phys. Letters C10, 63 (1974)
Brack, M.: Private communication
Myers, W.D.: Private communication
Von Groote, H.H., Myers, W.D., Möller, P., Nilsson, S.G., Nix, R.I., Randrup, I., Swiatecki, W.I., Tsang, C.F.: LBL 1971 Annual Report
Brack, M., Pauli, H.C.: Nuclear Physics A207, 401 (1973)
Author information
Authors and Affiliations
Additional information
Partly supported by the Minerva Foundation
On leave from Weizmann Institute of Science, Rehovot, Israel
On leave from Institut für Physik, Universität Basel, Schweiz
Rights and permissions
About this article
Cite this article
Yariv, Y., Ledergerber, T. & Pauli, H.C. Single particle models in the shell correction approach. Z Physik A 278, 225–238 (1976). https://doi.org/10.1007/BF01409172
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01409172