title: PROPERTIES OF COLLECTIVE STATES OF
text: Namangan Institute of Engineering and Technology
  nammti.uz
  10.25.2023
  Pg.254
  A theoretical analysis of the spectroscopic characteristics of the states of the positive parity
  bands
  158,160
  Gd was carried out within the framework of a phenomenological model [1,2], which
  takes into account the Coriolis mixing of the states of low-lying rotational bands.
  The energy spectrum of positive parity levels and the reduced probabilities of E2- and M1-
  transitions are calculated. The calculated values of the probability ratios of E2 transitions and the
  multipole mixture coefficients δ(E2/M1) of
  )
  2
  (
  ,
  )
  0
  (
  ,
  )
  0
  (
  3
  2
  2
  1
  and
  1
  K
  bands are
  compared with the available experimental data [3-6], which provide satisfactory agreement.
  Figure 1 shows the theoretical and experimental energies of
  156
  Gd levels.
  Calculated and experimental [6] values of the multipole mixture coefficients δ(E2/M1) from
  states of
  0
  ,
  ,
  1
  K
  bands for
  158
  Gd are given in Table 1.
  It is shown that the effect of mixing of low-lying bands plays an important role and is
  significantly manifested in the probabilities of electromagnetic transitions even at low spins.
  0
  1
  2
  3
  4
  5
  6
  7
  8
  9
  15
  3
  E (MeV)
  8
  1
  2
  K
  2
  2
  K
  4
  0
  K
  3
  0
  K
  2
  0
  K
  1
  0
  K
  6
  6
  10
  8
  6
  14
  12
  10
  8
  18
  16
  14
  12
  10
  8
  30
  28
  26
  24
  22
  20
  18
  16
  14
  12
  10
  8
  13
  14
  12
  11
  10
  9
  8
  7
  5
  3
  4
  6
  6
  6
  6
  4
  4
  4
  4
  4
  4
  2
  2
  2
  2
  2
  2
  2
  0
  0
  0
  0
  0
  exp. theor
  exp. theor
  exp. theor
  exp. theor
  exp. theor
  exp. theor
  exp. theor
  156
  Gd
  5
  0
  K
  Pic. 1. Comparison of experimental and theoretical energy levels.