Energy bands (g,β,γ) and energy ratios for even-even Yb (A=168-172)

Abstract

In the present work, the interacting boson model (IBM-1) was used in
the calculations of the energy ratios, energy levels and energy bands for eveneven
isotopes of Yb(A=168-172). The dynamical symmetries for the isotopes
under study have been determined, which is found to be SU(5)-SU(3).The
well-deformed even-even nuclei in general populate in high-spin states, so that
the low-lying bands will extinctions to a high spin also. The energy ratios of
Yb (A=168-172) is the
(2 )
(4 )
1
1


E
E ,
(2 )
(6 )
1
1


E
E and
(2 )
(8 )
1
1


E
E
will give a big values. The
energy spectrum according to the sequences of energy bands (g, β, γ)give very
good agreement of the level sequence of each band with the typical sequence
of ground band (0+, 2+, 4+,……), β – band (0+, 2+, 4+,……), and γ – band (2+,
3+,4+, 5+,……). There are good agreement between the present results and the
experimental data.