Abstract
We give a brief summary of the (pseudo-)symplectic model. We then show how to construct a microscopically justified potential-energy-surface (PES) for this model, using coherent states. Two applications are presented, one to the light nucleus 2412 Mg and the other to the heavy nucleus 23892 U.
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References
L. Weaver, L.C. Biedenharn, and R.Y. Cusson, Ann. Phys. 77, 250 (1973)
ibid., 112, 493 (1976).
V. Vanagas, Sov. J. Part. Nucl. 7, 118 (1976)
ibid., 11, 172 (1980).
D.J. Rowe, Rep. Prog. Phys. 48, 1419 (1985).
O. Castaños, A. Frank, E. Chacón, P.O. Hess, and M. Moshinsky, Journ. of Math. Phys. 23, 2537 (1982)
M. Moshinsky; J. Math. Phys. 25, 1555 (1984)
E. Chacón, P.O. Hess, and M. Moshinsky, J. Math. Phys. 25, 1565 (1984)
O. Castaños, E. Chacón, and M. Moshinsky; J. Math. Phys. 25, 2815 (1984)
M. Moshinsky, M. Nicolescu, and R.T. Sharp, J. Math. Phys. 26, 2995 (1985)
E. Chacón, P.O. Hess, and M. Moshinsky, J. Math. Phys. 28, 2223 (1987).
O. Castaños, and J.P. Draayer, Nucl. Phys. A491, 349 (1989).
J.P. Elliott, Proc. Roy. Soc. London A245, 128 (1958)
ibid., A245, 562 (1958).
R.D. Ratna Raju, J.P. Draayer, and K.T. Hecht, Nucl. Phys. A202, 433 (1973).
O. Castaños, P.O. Hess, J.P. Draayer, and P. Rochford, Nucl. Phys. A524, 471 (1991).
J.M. Eisenberg, and W. Greiner, Nuclear Theory I: Nuclear Models, 3rd edition (North-Holland, 1987).
K.T. Hecht, The Vector Coherent State Method and its Application to Problems of Higher Symmetries, Springer-Heidelberg (1987).
A. Arima, M. Harvey, and K. Shimizu, Phys. Lett. B30, 517 (1969).
A. Bohr, I. Hamamoto, and B.R. Mottelson, Phys. Scr. 26, 267 (1982).
J.P. Draayer, Pseudo Spin, Pseudo SU(3) and Superdeformation, preprint, Louisiana State University (1990).
J.P. Draayer, H.A. Naqvi, Pseudo-Spin Symmetry and High-Spin Physics, preprint, Louisiana State University (1991).
J.P. Draayer, and K.J. Weeks, Ann. Phys. 156, 41 (1984).
O. Castaños, J.P. Draayer, and Y. Leschber, Z. Phys. A329, 33 (1988).
W. Nazarewiz, P.J. Twin, P. Fallon, and.I.D. Garrett, Phys. Rev. Lett. 64, 654 (1990).
F.S. Stephens et al., Phys. Rev. Lett. 64, 2623 (1990)
ibid., 65, 301 (1990).
C. Bahri, J.P. Draayer, O. Castaños, and G. Rosensteel, Phys. Lett. B234, 430 (1990).
O. Castaños, J.P. Draayer, and Y. Leschber, Nucl. Phys. A473, 494 (1987).
H. Ui, Prog. Theor. Phys. 44, 153 (1970).
D.J. Rovve, R. Le Blanc, and J. Repka, J. Phys. A22, L309 (1989).
O. Castaños, P.O. Hess, J.P. Draayer, and P. Rochford, Microscopic Interpretation of Potential Energy Surfaces, submitted for publication.
J. Blomquist, and A. Molinari, Nucl. Phys. A106, 545 (1968).
J.P. Draayer, and Y. Leschber, Branching Rules for Unitary Symmetries of the Nuclear Shell Model, LSU-Report (1987).
P.O. Hess, M. Seiwert, J.A. Maruhn, and W. Greiner, Z. Phys. A296, 147 (1980).
W. Nazarewicz, in: International Conference on Contemporary Topics in Nuclear Structure Physics, Cocoyoc, México (World Scientific, 1988), p.467
ibid., p.467
ibid., p.445.
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© 1992 Springer-Verlag Berlin Heidelberg
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Castaños, O., Hess, P.O. (1992). The Symplectic Model and Potential-Energy-Surfaces. In: Frank, A., Wolf, K.B. (eds) Symmetries in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77284-9_6
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DOI: https://doi.org/10.1007/978-3-642-77284-9_6
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