Abstract
Within the framework of theK-harmonic model the wave functions of the18O nucleus are constructed, which correspond to the usual spherical configuration and to the deformed one, where the two last protons and neutrons fill the deformed orbitals belonging to the (2s-1d) shell. Matrix elements of the Coulomb interaction and of the electric multipole of order 2 are calculated. Corrections for the non-orthogonality of wave functions are negligible. Corrections for the elimination of the centre-of-mass motion are surprisingly small in the Coulomb energy. They enable to reduce the effective charge usually necessary for interpreting the experimental values of the reducedE2 transition rates. The Coulomb energy is nearly independent on the deformation parameters and the other quantum numbers,E2 transition rates attain maximum values in the vicinity of their SU(3) values for 2→0 and 4→2 transitions.
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References
Trlifaj L., Czech. J. Phys.B 23 (1973), 416.
Baz' A. I., Zhukov M. V., Yadernaya fizika11 (1970), 779.
Simonov Yu. A., Sadovoy A. A., Report No. 840 (1970), ITEF, Moscow.
Simonov Yu. A., Sadovoy A. A., Report No. 935 (1972), ITEF, Moscow.
Brown G. E., Proc. Int. Conf. on Nuc. Phys., Vol. 1, 129 (1964), Louis-Jean-Gap Printers, Paris.
Trlifaj L., Sotona M., Czech. J. Phys.B 20 (1970), 865.
Simonov Yu. A., Yad. Fiz.7 (1968), 1210.
Federman P., Nuclear PhysicsA 95 (1967), 443.
Benson H. G., Flowers B. H., Nuc. Phys.A 126 (1969), 322.
Edmonds A. R., Angular momentum in quantum mechanics, Princeton university press, Princeton-New Jersey 1957.
Gradstein I. S., Ryzhik I. M., Tablicy integralov, summ, ryadov i proizvedeniy, GIF-ML, Moscow, 1963.
Fabre de la Ripelle M., Report IPNO/TH 182, Avril 1970, Institut de Physique Nucléaire, 91-Orsay-France.
Irvine J. M., Nuclear structure theory, Pergamon press, Oxford-New York-Toronto-Sydney-Braunschweig, 1972.
Bohr A., Mottelson B. R., Struktura atomnogo yadra (russian translation), Vol. 1, Izd. “Mir”, Moscow, 1971.
Sotona M., Prime-factor tables of general oscillator brackets, Nuclear physics institute, Řež, 1972; not published.
Tables of the Clebsch-Gordan coefficients, Science press, Peking, 1965.
Ishidzu T., Tables of the Racah coefficients, Pan-Pacific press, Tokyo, Japan, 1960.
Matsunobu H., Takebe H., Progr. Theor. Phys.14 (1955), 589.
Benson H. G., Irvine J. M., Proc. Phys. Soc.89 (1966), 249.
Eisenberg J. M., Greiner W., Excitation mechanismus of the nucleus, North-Holland publishing company, Amsterdam-London 1970.
Gartenhaus I., Schwartz C., Phys. Rev.108 (1957), 482.
Lerner G. M., Nuc. Phys.A 205 (1973), 385.
Irvine J. M., Latorre C. D., Pucknell V. F. E., Advances in physics20 No. 88 (1971), 661.
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Trlifaj, L. Electromagnetic properties of spherical and deformed configurations in theK-harmonic model of18O. Czech J Phys 24, 249–266 (1974). https://doi.org/10.1007/BF01596347
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DOI: https://doi.org/10.1007/BF01596347