Abstract
A system of identical bosons with single angular momentum l and F-spin 1/2 is under consideration. The classification of it’s wave functions and the factorization of it’s coefficients of fractional parentage are discussed by using Lie group theory. The branching rules of the group reductions and an approach to evaluate the CFP of the system are given.
The project supported by Doctoral Programm Foundation of Institution of Higher Education of China and National Natural Science Foundation of China
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
F. Iachello and A. Arima, The Interacting Boson Model (Cambridge; Cambridge University Press, 1987)
A. Arima, T. Otsuka, F. Iachello and I. Talmi, Phys. Lett. 66B(1977), 205
G. L. Long, Ph. D. Thesis(Tsinghua University, 1987)
H. Z. Sun, M. Moshinsky, A. Frank and F. Isacker, Kinam 5 (1983), 135
T. Otsuka, Phys. Rev. Lett. 46(1981), 710;
ibid, 48 (1982), 387
J. Engel and F. Iachello, Phys. Rev. Lett. 54(1985), 1126;
ibid, Nucl. Phys. A472(1987), 61
H. Z. Sun, M. Zhang and Q.Z. Han, Chinese J. Nucl. Phys., 13(1991), 121
P. J. Twin, Nucl. Phys. A520(1990), 17c;
ibid; A522 (1991), 13c
F. Iachello and D. Vretener, Phys. Rev. C43(1991), R945;
F. Iachello, Nucl. Phys. A522(1991), 83c
T. Otsuka and M. Honma, Phys. Lett., 268B(1991), 305
R. F. Bacher and S. Goudsmit, Phys. Rev. 46(1934)948
G. Racah, Phys. Rew. 63(1943)367
P. J. Redmond, Proc. Roy. Soc. London A222(1954)84.
A. de-Shalit and I. Talmi, Nuclear shell Theory(Academic, New York 1963)
H. Z. Sun, M. Zhang, Q. Z. Han ang G. L. Long, J. Phys. A22(1989), 4769;
ibid, A23(1990), 1957
Y. X. Liu, H. Z. Sun and E. G. Zhao, Comput. Phys. Commun. 70(1992), 154
Q. Z. Han and H. Z. Sun, Group Theory(Peking University, 1987)
J. J. Wang and H. Z. Sun, High Energy Phys. Nucl. Phys., 14 (1990), 842;
H. Z. Sun, J. J. Wang and Y. X. Liu, to be published
Y. X. Liu, Chinese J. Comput. Phys. 9(1992), 163
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer Science+Business Media New York
About this chapter
Cite this chapter
Sun, Hz., Han, Qz., Liu, Yx. (1994). Coefficients of Fractional Parentage of the Boson System with Single l and F-Spin 1/2. In: Gruber, B., Otsuka, T. (eds) Symmetries in Science VII. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2956-9_49
Download citation
DOI: https://doi.org/10.1007/978-1-4615-2956-9_49
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6285-2
Online ISBN: 978-1-4615-2956-9
eBook Packages: Springer Book Archive