Exchange effects in the interacting boson-fermion model

P. B. Semmes; G. A. Leander; D. Lewellen; F. Dönau

doi:10.1103/PhysRevC.33.1476

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Exchange effects in the interacting boson-fermion model

P. B. Semmes

G. A. Leander and D. Lewellen

F. Dönau

School of Chemistry, Georgia Institute of Technology, Atlanta, Georgia 30332

UNISOR, Oak Ridge Associated Universities, Oak Ridge, Tennessee 37830

Zentralinstitut fur Kernforschung, Rossendorf, 8051 Dresden, German Democratic Republic

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Phys. Rev. C 33, 1476 – Published 1 April, 1986

DOI: https://doi.org/10.1103/PhysRevC.33.1476

Abstract

A study of Pauli exchange effects for the odd particle in the interacting boson-fermion model is made by a comparison with a core-quasiparticle coupling model based on dynamical field theory and the BCS method. Spectra for a partly filled j shell coupled to interacting boson model cores are calculated in both models. Values of the interacting boson-fermion model exchange parameter $Λ_{0}$ are found which lead to about the same spectra as in the core-quasiparticle coupling model. Variations of $Λ_{0}$ around this value can alter the energy spectra and the Coriolis mixing between bands much more than variations of the corresponding BCS parameter Δ. However, variations of $Λ_{0}$ also effectively alter the position of the Fermi level, which should set constraints on phenomenological applications of the interacting boson-fermion model.

References (14)

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[c1] A. Arima and F. Iachello, Ann. Phys. (N.Y.) 99, 253 (1976).

[c2] A. Arima and F. Iachello, Ann. Phys. (N.Y.) 111, 201 (1979).

[c3] A. Arima and F. Iachello, Ann. Phys. (N.Y.) 123, 468 (1979).

[c4] T. Otsuka, A. Arima, F. Iachello and I. Talmi, Phys. Lett. 76B, 139 (1978).

[c5] D. Janssen, R. V. Jolos and F. Dönau, Nucl. Phys. A224, 93 (1974).

[c6] U. Hagemann and F. Dönau, Phys. Lett. 59B, 321 (1975).

[c7] F. Dönau and U. Hagemann, Nucl. Phys. A256, 27 (1976).

[c8] F. Iachello and O. Scholten, Phys. Rev. Lett. 43, 679 (1979).

[c9] O. Scholten, Ph.D. thesis, University of Groningen, The Netherlands, 1980.

[c10] F. Dönau and S. Frauendorf, Phys. Lett. 71B, 263 (1977).

[c11] F. Dönau and H. Reinhardt, Fiz. Elem. Chas. At. Yad. 10, 1191 (1979) [Sov. J. Part. Nucl. 10, 474 (1979)].

[c12] F. Dönau, Proceedings of the Winter School on Nuclear Structure, Zakopane, Poland, 1984.

[c13] F. Dönau, Proceedings of the XV Summer School on Nuclear Physics, Mikolajki, Poland, 1983.

[c14] A. Bohr and B. Mottelson, Nuclear Structure (Benjamin, Reading, Mass., 1975), Vol. 2.

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Exchange effects in the interacting boson-fermion model

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References (14)

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