Abstract
The exchange term of the Interacting Boson Fermion Model is investigated by using I. Talmi's method based on the shell model. A quadrupole operator of a three-proton system is formed; the protons are quadrupole-coupled to the neutron-bosons. Seniority conserving and seniority non conserving terms are considered. The particle number dependence of the parameters is investigated for the single-j shell. The relation between exchange and direct, seniority non conserving terms is examined. Approximate formulas are given for the multi-j shell.
Similar content being viewed by others
References
Arima, A., Iachello, F.: Anna Rev. Nucl. Sci.31, 75 (1981)
Iachello, F., Scholten, O.: Phys. Lett.43, 679 (1979)
Kaup, U., Gelberg, A., v. Brentano, P.: Phys. Rev. C22, 1738 (1980)
Lo Bianco, G.: In Interacting Bose-Fermi Systems in Nuclei. Iachello, F. (ed.), p. 309. New York: Plenum Press 1981
v. Brentano, P., Gelberg, A., Kaup, U.: ibid.In p. 303
Bohr, A., Mottelson, B.: Nuclear structure. Vol. II, Chap. 6. Reading, Mass.: W.A. Benjamin 1975
Bortignon, P.F., Broglia, R.A., Bes, D.R., Liotta, R.: Phys. Rep. C30, 305 (1977)
Scholten, O., Dieperink, A.E.L.: In: Interacting bose-fermi systems in nuclei. Iachello, F. (ed.), p. 343. New York: Plenum Press 1981
Talmi, I.: ibid.In:, p. 329
Scholten, O.: The Interacting Boson Approximation Model and Applications, Ph.D. Thesis, University of Groningen, 1980 (unpublished)
De Shalit, A., Talmi, I.: Nuclear shell theory. p. 531. New York: Academic Press 1963
Otsuka, T.: Private communication
Otsuka, T., Arima, A.: Phys. Lett.77 B, 1 (1978)
Bijker, R., Dieperink, A.E.L.: Nucl. Phys. A379, 61 (1982)
Kaup, U.: Proceedings of the International School of Nuclear Physics: Collective Bands in Nuclei. Erice 1982 (to be published)
Author information
Authors and Affiliations
Additional information
Supported by BMFT and Minerva
The author would like to thank A. Arima, P. von Brentano, F. Jachello, U. Kaup, T. Otsuka, O. Scholten and I. Talmi for stimulating discussions. Financial support from the Minerva Foundation is acknowledged with thanks.
Rights and permissions
About this article
Cite this article
Gelberg, A. On the exchange term of the interacting Boson-Fermion Hamiltonian. Z Physik A 310, 117–121 (1983). https://doi.org/10.1007/BF01433620
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01433620