Abstract
In this contribution the extension will be discussed of the Interacting Boson Approximation (IBA) model to odd-A nuclei where the fermion degrees of freedom need to be considered explicitly. The IBA model describes even-even nuclei as a system of interacting s- and d-boson. By coupling the degrees of freedom of a single nucleon to these bosons one can describe also odd-A nuclei. The general Hamiltonian for this coupled system can be written as
The IBA Hamiltonian, HB, describes the system of s- and d-bosons. HF is the Hamiltonian for the single odd particle and thus contains only a one-body term
In our convention the summation index j denotes the shell model orbits in the valence shell. The quasi-particle energies are denoted by ϕj.
Chapter PDF
References
A. Arima and F. Iachello, Phys. Rev. C14 (1976) 761.
T. Otsuka, A. Arima and F. Iachello, Nucl. Phys. A309 (1978) 1.
T. Otsuka, Ph.D. Thesis, University of Tokyo, Japan (1979).
O. Scholten, Ph.D. Thesis, University of Groningen, The Netherlands (1980).
A. Arima, T. Otsuka, F. Iachello and I. Talmi, Phys. Lett. 66B (1977) 205.
F. Iachello, Phys. Rev. Lett. 44 (1980) 772.
F. Iachello and O. Scholten, Phys. Lett. 91B (1980) 189.
O. Scholten, Computer code ODDA, KVI int. rep. 253 (1980) Groningen, The Netherlands.
O. Scholten, F. Iachello and A. Arima, Ann. Phys. (NY) 115 (1978) 325.
O. Scholten and A.E.L. Dieperink, “Interacting Bose-Fermi Systems in Nuclei,” F. Iachello, ed., Plenum Press, New York (1981).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1982 Plenum Press, New York
About this chapter
Cite this chapter
Scholten, O. (1982). The Interacting-Boson-Fermion Approximation. In: Feng, D.H., Vallières, M., Guidry, M.W., Riedinger, L.L. (eds) Contemporary Research Topics in Nuclear Physics . Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1134-8_30
Download citation
DOI: https://doi.org/10.1007/978-1-4684-1134-8_30
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-1136-2
Online ISBN: 978-1-4684-1134-8
eBook Packages: Springer Book Archive