title: Table 1 
  Multipole mixture coefficients
text: Table 1
  Multipole mixture coefficients
  δ( 2
  1)
  E
  M
  for
  158
  Gd
  I
  i
  K
  i
  I
  f
  K
  f
  E
  ,
  МeV
  )
  2
  (
  E
  B
  efm
  2
  )
  1
  (
  M
  B
  μ
  N
  exp.
  [6]
  .
  theor
  .
  adiab
  20
  2
  2gr
  1,1804
  -3,226
  0,0434
  -0,70(7)
  -0,73
  -
  40
  2
  4gr
  1,1454
  -5,953
  -0,0571
  +1,0(2)
  1,0
  -
  20
  3
  2gr
  1,4379
  5,841
  0,0447
  -1,5(4)
  1,58
  -
  40
  3
  4gr
  1,4058
  6,539
  0,0563
  +6(2) or (-0,76(11))
  +1,6(5) [2]
  1,36
  -
  22
  1
  2gr
  1,1076
  -16,540
  -0,0116
  +80 ≤ δ ≤ -25
  -9,0(15) [2]
  13,17
  -
  32
  1
  2gr
  1,1859
  -17,070
  -0,010
  +30 (+32,-14)
  16,88
  -
  32
  1
  4gr
  1,0040
  13,300
  0,0091
  -23(+19,-7)
  12,24
  -
  42
  1
  4gr
  1,0970
  -14,370
  -0,0525
  +6,4(+14,-10)
  or (-0,73(4))
  2,49
  -
  21
  2
  2gr
  1,8846
  1,943
  -0,1706
  -0,08(12) or
  +2,9(+18,-9)
  -0,18
  -0,39
  Namangan Institute of Engineering and Technology
  nammti.uz
  10.25.2023
  Pg.255
  31
  2
  2gr
  2,0099
  4,956
  0,1161
  +0,45(20) or
  +7(+70,-4)
  0,72
  0,77
  41
  2
  4gr
  1,8337
  -0,195
  -0,1742
  +0,25(13) or+1,8(6)
  0,02
  -0,20
  11
  2
  22
  1
  0,7431
  4,390
  0,0018
  +0,17(15)
  15,11
  -
  31
  2
  22
  1
  0,9024
  -1,965
  -0,0013
  +1,5(7)
  11,4
  -
  References
  1. P. N.Usmanov, I.N.Mikhailov // Phys. Part. Nucl. 28,4 (1997)
  2. P. N.Usmanov, А.А. Okhunov, U.S. Salikhbayev, А.I.Vdovin // Part. Nucl., Lett., 7(3) (2010)
  3. C.W.Reich, Nucl. Data Sheets 113, 2575 (2012)
  4. R.G. Helmer, Nucl. Data Sheets 77, 481 (1996)
  5. C.W. Reich, Nucl.Data Sheets 105, 555 (2005)
  6. L. I. Govor, A.M. Demidov, I. V. Mikhailov // Phys. At. Nucl. 64(7) (2001)
  STUDY OF ELECTROMAGNETIC PROPERTIES OF EXCITED STATES ISOTOPES
  156,158,160
  Gd
  P.N.Usmanov, E.K.Yusupov
  Namangan Institute of Engineering and Technology
  Е-mail:
  yusupov.elmurod@gmail.com
  Abstract—The theoretical analysis of electric characteristics of the positive parity states in
  isotopes
  158,160
  Gd has been carried out in the phenomenological model taking into account the
  Coriolis mixing of low-lying states in rotational bands. The energy spectrum of the levels of positive
  parity, the wave functions of states, and the reduced probabilities of E2 transitions have been
  calculated.
  Keywords: nuclei; energy; states; rotational bands; phenomenological model
  Within the framework of the phenomenological model [1, 2], which takes into account the
  Coriolis mixing of low-lying states of rotational bands, the structure of excited states and
  nonadiabatic effects manifested in the probabilities of magnetic transitions were studied. The
  energy, structure of wave functions, and electromagnetic characteristics of excited states are
  calculated. The calculated values of energy, probabilities of E2-,
  1
  M
  -transitions, magnetic
  moments of
  μ ( )
  gr
  I
  states of the main rotational band and multipole mixture coefficients of
  δ( 2 / 1)
  E
  M
  out of
  1
  2
  2
  3
  β (0 ) ,β (0 ) , γ(2 )
  and
  π
  +
  ν
  1
  K
  bands are compared with the
  available experimental data [3-7], which give satisfactory agreement. The calculated and
  experimental [5,6,7] energy values for
  156
  Gd
  are presented in the figure and the coefficients of
  the mixture of multipoles
  δ( 2 / 1)
  E
  M
  from the states of
  +
  ν
  0
  -,
  γ
  -
  and
  π
  1
  K
  bands for
  160
  Gd
  are given in the table.
  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. The
  calculation results showed that for a more adequate description of the experimental characteristics,
  it is necessary to use some additional method to determine the sign of the parameters included in
  the multipole operators of the E2- and -
  1
  M
  -transitions.
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