Skip to main content

Analyzing the Magnetic Characteristics of 158, 160Gd States Using a Phenomenological Model


The structure of excited states and non-adiabatic effects manifested in the probabilities of magnetic transitions in \({}^{{158,\,160}}{\text{Gd}}\) nuclei are studied using a phenomenological model that includes Coriolis mixing of the states of low-lying positive-parity rotational bands. The wavefunctions of excited states are calculated. The effect of the mixing of bands is shown to affect the wavefunctions of vibrational states (the band bases) considerably.

This is a preview of subscription content, access via your institution.


  1. 1

    Nica, N., Nucl. Data Sheets, 2017, vol. 141, p. 1.

    ADS  Article  Google Scholar 

  2. 2

    Reich, C.W., Nucl. Data Sheets, 2005, vol. 105, p. 557.

    ADS  Article  Google Scholar 

  3. 3

    Soloviev, V.G., Sushkov, A.V., and Shirikova, N.Yu., Fiz. Elem. Chastits At. Yadra, 1996, vol. 27, no. 6, p. 1643.

    Google Scholar 

  4. 4

    Berg, U.E.P., Blasing, C., Drexler, J., et al., Phys. Lett., 1984, vol. 149, p. 59.

    Article  Google Scholar 

  5. 5

    Pitz, H.H., Berg, U.E.P., Heil, R.D., et al., Nucl. Phys. A, 1989, vol. 492, p. 411.

    ADS  Article  Google Scholar 

  6. 6

    Govor, L.I., Demidov, A.M., Kurkin, V.A., and Mikhailov, I.V., Phys. At. Nucl., 2009, vol. 72, no. 11, p. 1799.

    Article  Google Scholar 

  7. 7

    Lesher, S.R., Casarella, C., Aprahamian, A., et al., Phys. Rev. C: Nucl. Phys., 2015, vol. 91, 054317.

    ADS  Article  Google Scholar 

  8. 8

    Lesher, S.R., Casarella, C., Aprahamian, A., et al., Phys. Rev. C, 2017, vol. 95, 064309.

    ADS  Article  Google Scholar 

  9. 9

    Govor, L.I., Demidov, A.M., and Mikhailov, I.V., Phys. At. Nucl., 2001, vol. 64, no. 7, p. 1254.

    Article  Google Scholar 

  10. 10

    Begzhanov, R.B., Belen’kii, V.M., and Zalyubovskii, I.I., Spravochnik po yadernoi fizike (Handbook of Nuclear Physics), Tashkent: Fan, 1989.

  11. 11

    Usmanov, P.N., Vdovin, A.I., Yusupov, E.K., and Salikhbaev, U.S., Phys. Part. Nucl. Lett., 2019, vol. 19, no. 6. P. 706.

    Article  Google Scholar 

  12. 12

    Usmanov, P.N. and Mikhailov, I.N., Phys. Part. Nucl., 1997, vol. 28, no. 4, p. 348.

    Article  Google Scholar 

  13. 13

    Mikhailov, I.N., Usmanov, P.N., Okhunov, A.A., et al., Izv. Akad. Nauk,Ser. Fiz., 1993, vol. 57, no. 1, p. 17.

    Google Scholar 

  14. 14

    Usmanov, P.N., Okhunov, A.A., Salikhbaev, U.S., and Vdovin, A.I., Phys. Part. Nucl. Lett., 2010, vol. 7, no. 3. P. 185.

    Article  Google Scholar 

  15. 15

    Friedrichs, H., Hager, D., von Brentano, P., et al., Nucl. Phys. A, 1994, vol. 567, p. 266.

    ADS  Article  Google Scholar 

  16. 16

    Alaga, G., Nucl. Phys., 1957, vol. 4, p. 625.

    Article  Google Scholar 

Download references


This work was supported by the Republic of Uzbekistan’s State Scientific and Technical Program for Basic Research, project no. OT-F2-75.

Author information



Corresponding author

Correspondence to P. N. Usmanov.

Additional information

Translated by A. Ivanov

About this article

Verify currency and authenticity via CrossMark

Cite this article

Usmanov, P.N., Vdovin, A.I. & Yusupov, E.K. Analyzing the Magnetic Characteristics of 158, 160Gd States Using a Phenomenological Model. Bull. Russ. Acad. Sci. Phys. 84, 968–973 (2020).

Download citation