Contemporary Nuclear Shell Models pp 231-253 | Cite as
Solving the nuclear shell model with an algebraic method
Conference paper
First Online:
Abstract
We illustrate algebraic methods in the Nuclear Shell Model through a concrete example, the Fermion Dynamical Symmetry Model (FDSM). We will use this model to introduce important concepts such as dynamical symmetry, symmetry breaking, effective symmetry, and diagonalization within a higher-symmetry basis.
Keywords
Shell Model Casimir Operator Dynamical Symmetry Symmetry Limit Break Pair
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
References
- Arima A., Harvey M., Shimizu K. (1969): Phys. Lett. B30, 517ADSGoogle Scholar
- Arima A., Otsuka T., Iachello F., Talmi I. (1977): Phys. Lett. B66, 205ADSGoogle Scholar
- Bender E., Schmid K.W., Faessler A. (1996): Nucl. Phys. Rev. A596, 1CrossRefADSGoogle Scholar
- Brown B.A., Etchegoyen A., Rae W.D.M., Ormand W.E., Winfield J.S., Zhao L. (1988): OXBASH code, MSUNSCL Report 524 Google Scholar
- Casten R.F., Brenner D.S., Haustein P.E. (1987): Phys. Rev. Lett. 58, 658CrossRefADSGoogle Scholar
- Caurier E. (1989): code ANTOINE, StrasbourgGoogle Scholar
- Di Y.M., Yoshida N., Pan X.W. (1993): SU3u2 code (unpublished)Google Scholar
- Draayer J. P. (1992): Nuclear Structure Models, Bengtsson R., Draayer J. P., Nazrrewicz W. eds. (World Scientific), P.61Google Scholar
- Elliott J.P. (1958): Proc. Roy. Soc. A245, 128, 562ADSGoogle Scholar
- Feng D.H., Guidry M.W., Pan X.W., Wu C.L., Zlatev I. (1993): Phys. Rev. 48, R1488Google Scholar
- Ginocchio J.N. (1980): Ann. Phys. 126, 234CrossRefADSMathSciNetGoogle Scholar
- Guidry M.W., et al., Phys. Lett. B176, 1Google Scholar
- Guidry M.W., et al. (1987): Phys. Lett. B187, 210ADSGoogle Scholar
- Guidry M.W., Feng D.H., Pan X.W., Wu C. L. (1996): J. Phys. G22, 425 (1996).ADSGoogle Scholar
- Hara K. (1996): these proceedingsGoogle Scholar
- Hara K. Sun Y. (1991): Nucl. Phys. A529, 445ADSGoogle Scholar
- Hecht K.T., Adler A. (1969): Nucl. Phys. A137, 129ADSGoogle Scholar
- Honma M, Mizusaki T., Otsuka T. (1995): Phys. Rev. Lett. 75, 1284CrossRefADSGoogle Scholar
- Iachello F., Kuyucak S. (1981): Ann. Phys. 136, 19CrossRefADSMathSciNetGoogle Scholar
- Iachello F., (1984): Phys. Rev. Lett. 53, 14271CrossRefGoogle Scholar
- Iachello F., Arima A. (1987): The interacting boson model (Cambridge U.P., Cambridge)Google Scholar
- Johnson C.W., et al. (1992): Phys. Rev. Lett. 69, 3147CrossRefADSGoogle Scholar
- Judd B.R. (1963): Operator Techniques In Atomic Spectroscopy, (Mcgraw-Hill)Google Scholar
- Koonin S.E., Dean D.J., Langanke K. (1996): Physics Reports (in press)Google Scholar
- Ormand E., et al. (1994): Phys. Rev. C49, 1422ADSGoogle Scholar
- Otsuka T. (1981): Nucl. Phys. A368, 244ADSGoogle Scholar
- Ping J.L., Zlatev I., Pan X.W., Feng D.H., Guidry M.W. (1995): Phys. Rev. C (Submitted)Google Scholar
- Pan X.W., Otsuka T., Chen J.Q., Arima A. (1992): Phys. Lett. B287, 1ADSGoogle Scholar
- Pan X.W., Feng D.H., Chen J.Q., Guidry M.W. (1994): Phys. Rev. C49, 2493ADSGoogle Scholar
- Pan X.W., Feng D.H. (1994): Phys. Lett. B336, 285ADSGoogle Scholar
- Pan X.W., Feng D.H. (1994): Phys. Rev. C50, 818ADSGoogle Scholar
- Pan X.W., Di Y.M., Yoshida N., Guidry M.W. (1996): The Broken Pair Effect on the Moment of Inertia in the Fermion Dynamical Symmetry Model (preprint)Google Scholar
- Pan X.W., Smith B.H., Feng D. H., Guidry M.W. (1996): (in preparation)Google Scholar
- Pan X.W., Ping J.L., Feng D.H., Chen J.Q., Wu C.L., Guidry M.W. (1996): Phys. Rev. C53, 715ADSGoogle Scholar
- Raman S., Nestor C.W. Jr., Kahane S., Bhatt K.H. (1989): At. Data Nucl. Data Tables 42, 1CrossRefADSGoogle Scholar
- Rangacharyulu C., et al. (1991): Phys. Rev. C43, R949.Google Scholar
- Schmid K.W., Grummer F., Faessler A. (1984): Nucl. Phys. A431, 205; Phys. Rev. C29, 308ADSGoogle Scholar
- Schmid K.W., Grummer F., Kyotoku M., Faessler A. (1986): Nucl. Phys. A452, 493ADSGoogle Scholar
- Schmid K.W., Zheng R.R., Grummer F., Faessler A. (1989): Nucl. Phys. A499, 63ADSGoogle Scholar
- Smith B.H., Pan X.W., Feng D.H., Guidry M.W. (1995): Phys. Rev. Lett. 75, 3086CrossRefADSGoogle Scholar
- Valliéres M., Wu H. (1991): in Computational Nuclear Physics 1, ed. by Langanke K., Maruhn J.A., Koonin S.E. (Springer-Verlag)Google Scholar
- Valliéres M., Novoselsky A. (1993): Nucl. Phys. A570, 345cGoogle Scholar
- Wu H., et al. (1987): Phys. Lett. B193, 163ADSGoogle Scholar
- Wu H., Feng D.H., Wu C.L., Guidry M.W. (1987): Phys. Lett. B198, 119ADSGoogle Scholar
- Wu H., Wu C.L., Feng D.H., Guidry M.W. (1988): Phys. Rev. C37, 1739ADSMathSciNetGoogle Scholar
- Wu H., Valliéres M. (1989): Phys. Rev. C39, 1066ADSGoogle Scholar
- Wu C.L., Feng D.H., Chen X.G., Chen J.Q., Guidry M. (1987): Phys. Rev. C36, 1157ADSMathSciNetGoogle Scholar
- Wu C.L. (1990): Nucl. Phys. A520, 459cGoogle Scholar
- Wu C.L., Feng D.H., Guidry M.W. (1994): Advances in Nuclear Physics 21, 227Google Scholar
Copyright information
© Springer-Verlag 1997