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  • PROPERTIES OF COLLECTIVE STATES OF




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    PROPERTIES OF COLLECTIVE STATES OF 
    156,158,160
    Gd ISOTOPES 
     
    P.N.Usmanov, E.K.Yusupov 
     
    Namangan Institute of Engineering and Technology
    Е-mail: 
    yusupov.elmurod@gmail.com
     
     
    Abstract— The calculated values of ratios of E2-transition probabilities from the 






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    and 




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    K
    -bands are compared with the available experimental data 
    which are in best agreement. It is shown that the effect of mixing of the low-lying bands plays an 
    important role and it is significantly shown in probabilities of electric transitions even at low spins. 
    This work shows that the spectra of excited states and the reduced probabilities of 
    electromagnetic transitions between the states of the rotational bands of 
    158,160
    Gd nuclei are of 
    particular interest for studying the manifestation of nonadiabatic effects. The possibility of studying 
    the effects of mixing of adiabatic bands using the same basic parameters (moment of inertia and 
    internal quadrupole moments) is demonstrated. 


    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 






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    and 




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    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. 
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    exp. theor
    exp. theor
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    156
    Gd


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    K
    Pic. 1. Comparison of experimental and theoretical energy levels. 

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