Abstract
The Palumbo`s nuclear model of two axial rotators is interpreted as a generalization of Elliot`s model SU{sub 3}. The Elliot`s basis is expanded up to the basis of the direct production SU{sub 3} x SU{sub 3}. The generators of the neutron and proton subsystems are written as well as the generators for the system of all valence nucleons of the nuclei as a whole. Kazimir`s operator of the second order for SU{sub 3} is obtained and its explicit eigenfunctions are found. The operators of the isoscalar and isovector (electric quadrupole and magnetic dipole) transitions are expressed through the group generators. Somewhere it will be shown that the above developed method permits to find the probabilities of isovector M 1 and E 2 transitions without an additional phenomenological parameters. (author). 14 refs.
Citation Formats
Filippov, G F, and Dotsenko, I S.
The interpretation of Palumbo`s model using of microscopic basis functions SU{sub 3} x SU{sub 3}; Interpretatsiya modeli Palumbo na ochove mikroskopicheskikh funktsij bazisa SU{sub 3} x SU{sub 3}.
Ukraine: N. p.,
1993.
Web.
Filippov, G F, & Dotsenko, I S.
The interpretation of Palumbo`s model using of microscopic basis functions SU{sub 3} x SU{sub 3}; Interpretatsiya modeli Palumbo na ochove mikroskopicheskikh funktsij bazisa SU{sub 3} x SU{sub 3}.
Ukraine.
Filippov, G F, and Dotsenko, I S.
1993.
"The interpretation of Palumbo`s model using of microscopic basis functions SU{sub 3} x SU{sub 3}; Interpretatsiya modeli Palumbo na ochove mikroskopicheskikh funktsij bazisa SU{sub 3} x SU{sub 3}."
Ukraine.
@misc{etde_10130785,
title = {The interpretation of Palumbo`s model using of microscopic basis functions SU{sub 3} x SU{sub 3}; Interpretatsiya modeli Palumbo na ochove mikroskopicheskikh funktsij bazisa SU{sub 3} x SU{sub 3}}
author = {Filippov, G F, and Dotsenko, I S}
abstractNote = {The Palumbo`s nuclear model of two axial rotators is interpreted as a generalization of Elliot`s model SU{sub 3}. The Elliot`s basis is expanded up to the basis of the direct production SU{sub 3} x SU{sub 3}. The generators of the neutron and proton subsystems are written as well as the generators for the system of all valence nucleons of the nuclei as a whole. Kazimir`s operator of the second order for SU{sub 3} is obtained and its explicit eigenfunctions are found. The operators of the isoscalar and isovector (electric quadrupole and magnetic dipole) transitions are expressed through the group generators. Somewhere it will be shown that the above developed method permits to find the probabilities of isovector M 1 and E 2 transitions without an additional phenomenological parameters. (author). 14 refs.}
place = {Ukraine}
year = {1993}
month = {Dec}
}
title = {The interpretation of Palumbo`s model using of microscopic basis functions SU{sub 3} x SU{sub 3}; Interpretatsiya modeli Palumbo na ochove mikroskopicheskikh funktsij bazisa SU{sub 3} x SU{sub 3}}
author = {Filippov, G F, and Dotsenko, I S}
abstractNote = {The Palumbo`s nuclear model of two axial rotators is interpreted as a generalization of Elliot`s model SU{sub 3}. The Elliot`s basis is expanded up to the basis of the direct production SU{sub 3} x SU{sub 3}. The generators of the neutron and proton subsystems are written as well as the generators for the system of all valence nucleons of the nuclei as a whole. Kazimir`s operator of the second order for SU{sub 3} is obtained and its explicit eigenfunctions are found. The operators of the isoscalar and isovector (electric quadrupole and magnetic dipole) transitions are expressed through the group generators. Somewhere it will be shown that the above developed method permits to find the probabilities of isovector M 1 and E 2 transitions without an additional phenomenological parameters. (author). 14 refs.}
place = {Ukraine}
year = {1993}
month = {Dec}
}