content_image/337035.jpg content_image/337036.jpg content_image/337037.jpg content_image/337038.jpg content_image/337039.jpg
In the case of the quadrupole transitions we have for the transitions between the states of the ground state band 

<img src='content_image/337035.jpg'>

and for the transition between the negative parity states 

<img src='content_image/337036.jpg'>

In the last two expressions we have 

<img src='content_image/337037.jpg'>

For the dipole transitions between the two bands our calculations yields 

<img src='content_image/337038.jpg'>

where 

. 

## III. RESULTS OF CALCULATIONS 

<img src='content_image/337039.jpg'>

The results of calculations of the energy spectra of the ground state band and of the two lowest negative parity bands for the $^{220}$Th are presented in Fig.2 together with the available experimental data. The calculation is done by the exact numerical diagonalization 

