The Fifth Conference “ Nuclear Science and Its Application”, 14-17 October 2008
EXCITED STATES OF ODD NUCLEI WITH QUADRUPOLE AND
OCTUPOLE DEFORMATIONS
SH. SHARIPOV and M. J. ERMAMATOV
Institute o f Nuclear Physics, Ulughbek, Tashkent 100214, Uzbekistan
Two rotational bands with opposite parity have been observed in the experiments which are connected by with strong electric dipole transitions in a number of even-even and odd nuclei. These nuclei have both quadrupole and octupole deformations. Potential energy of such nuclei, which depends on the parameter of octupole deformation, has two symmetric potential wells divided by potential barrier. Tunnel transitions from one of the potential wells to another leads to the splitting of the levels and the formation of the opposite parity bands.
The view of total wave function is caused by the symmetry of odd nucleon. The core o f the nucleus can be considered as a even-even nucleus with octupole form, parity o f which is determined by the symmetry of relative inversion Axial-symmetric nuclei which perform quadrupole and octupole deformations and rotate around the axis perpendicular to the axis of symmetry are considered in this work.
Simple analytical expression is obtained for the excited states energy and wave function of such nuclei. The view of total wave function is caused by the symmetry of odd nucleon. They depend on a few parameters of the theory which give possibility easy interpretation of obtained results. Spectra of some odd nuclei in actinide region are calculated and compared with the existing experimental data.
Section II. Basic Problems O f Nuclear Physics