Abstract
In the multiquantum approximation of the orthogonal scheme, specific calculations for the energies and radii of the 84 Be nucleus are performed with allowance for all states characterized by the λ=[44] Young diagram, the quantum numbers K min and K min+2 of the O(3(A−1)) group, and the quantum numbers E=K+2N (N≤9) of the U(3(A−1)) group. The convergence of the results with respect to the extension of the basis is studied, and the structure of relevant wave functions is revealed. The results of these calculations are compared with the results obtained in the analogous approximation of the unitary scheme.
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References
V. V. Vanagas, Algebraic Methods in the Theory of the Nucleus (Mintis, Vilnyus, 1971) [in Russian].
K. I. Yankauskas and A. K. Petrauskas, Density Matrix of Excited U (3(n−1)) States of Nuclei and Its Application (Klaipeda Univ., Klaipeda, 1997) [in Russian].
K. Yankauskas, Yad. Fiz. 64, 238 (2001) [Phys. At. Nucl. 64, 194 (2001)].
P. Navratil and B. R. Barret, Phys. Rev. C 57, 3119 (1998).
P. Navratil and B. R. Barret, Phys. Rev. C 57, 562 (1998).
V. V. Vanagas, Methods of Group Theory Representations and of Isolation of Collective Degrees of Freedom of a Nucleus (MIFI, Moscow, 1974).
P. Navratil, G. P. Kamuntavicius, and B. R. Barret, Phys. Rev. C 61, 044001 (2000).
K. I. Yankauskas, Yad. Fiz. 65, 984 (2002) [Phys. At. Nucl. 65, 953 (2002)].
A. K. Petrauskas, K. I. Yankauskas, and V. M. Bondarenko, Available from LII, No. 2540 (Vilnus, 1990).
K. I. Yankauskas, Litov. Fiz. Sb. 41, 23 (2001).
A. V. Volkov, Nucl. Phys. 74, 33 (1965).
A. I. Baz', Yu. T. Grin', V. F. Demin, and M. V. Zhukov, Fiz. Élem. Chastits At. Yadra 3, 275 (1972) [Sov. J. Part. Nucl. 3, 275 (1972)].
D. Gogny, P. Pires, and R. Tourreil, Phys. Lett. A 32A, 591 (1970).
K. I. Yankauskas and A. K. Petrauskas, Litov. Fiz. Sb. 37, 102 (1997).
F. Ajzenberg-Selove, Nucl. Phys. A 227, 1 (1974).
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Translated from Yadernaya Fizika, Vol. 67, No. 12, 2004, pp. 2162–2170.
Original Russian Text Copyright © 2004 by Yankauskas.
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Yankauskas, K.I. Investigation of low-lying levels of the 84 Be nucleus in the multiquantum approximation of the orthogonal scheme. Phys. Atom. Nuclei 67, 2139–2147 (2004). https://doi.org/10.1134/1.1842292
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DOI: https://doi.org/10.1134/1.1842292