Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Calculation of quasi-stationary state parameters within the algebraic version of the resonating-group method

  • 26 Accesses

  • 7 Citations

Abstract

The dynamical equations of the algebraic version of the resonatinggroup method are used to determine the positionsE res,l and the widths Γ l of quasi-stationary states or, what is equivalent, to find the polesE l =E resl l /2 of theS-matrix in the fourth quadrant of thek-plane. Concrete calculations are performed for the α-decay of8Be. A comparison with the results of other authors and with experiment is made.

This is a preview of subscription content, log in to check access.

References

  1. 1.

    Ajzenberg-Selove, F., Lauritsen, T.: Nucl. Phys.A227, 84 (1974); Ajzenberg-Selove, F.: Nucl. Phys.A413, 82 (1984)

  2. 2.

    Baz, A. I., Zeldovich, Ya. B., Perelomov, A. M. (eds.): Scattering, Reaction, and Decays in Nonrelativistic Quantum Mechanics. Moscow: Nauka 1971

  3. 3.

    Wildermuth, K., Tang, Y. C.: A Unified Theory of the Nucleus. Braunschweig: Vieweg 1977

  4. 4.

    Fiebig, H. R., Weiguny, A.: Z. Phys.A279, 275 (1976)

  5. 5.

    Yamani, H. A., Fishman, L.: J. Math. Phys.16, 410 (1975)

  6. 6.

    Filippov, G. F., Okhrimenko, I. P.: Yad. Fiz.32, 932 (1980)

  7. 7.

    Filippov, G. F.: Yad. Fiz.,33, 928 (1981)

  8. 8.

    Nechaev, Yu. I., Smirnov, Yu. F.: Yad. Fiz.35, 1385 (1982)

  9. 9.

    Okhrimenko, I. P.: Nucl. Phys.A424, 121 (1984)

  10. 10.

    Asherova, R. M., Nechaev, Yu. I., Smirnov, Yu. F.: Preprint PEI-1567, Obninsk, 1984

  11. 11.

    Gyarmati, B., Kruppa, A. T., Papp, Z., Wolf, G.: Nucl. Phys.A417, 393 (1984)

  12. 12.

    Barrett, R. F., Robson, B. A., Tobocman, W.: Rev. Mod. Phys.55, 155 (1983)

  13. 13.

    Filippov, G. F., Okhrimenko, I. P.: Yad. Fiz.32, 70 (1980)

  14. 14.

    Vasilevsky, V. S., Smirnov, Yu. F., Filippov, G. F.: Yad. Fiz.32, 987 (1980)

  15. 15.

    Abramowitz, M., Stegun, I. A. (eds.), Handbook of Mathematical Functions. New York: Dover 1964.

  16. 16.

    Brink, D. M., Boeker, E.: Nucl. Phys.A91, 1 (1967)

  17. 17.

    Reichstein, I., Tang, Y. C.: Nucl. Phys.A139, 144 (1969)

  18. 18.

    Volkov, A. B.: Nucl. Phys.74, 33 (1965)

  19. 19.

    Wilkinson, J. H. (ed.): The Algebraic Eigenvalue Problem. Oxford: Clarendon Press 1965

  20. 20.

    Darriulat, P., Igo, G., Pugh, H. G., Holmgren, H. D.: Phys. Rev.B315, 315 (1965)

  21. 21.

    Newton, R. G.: Scattering Theory of Waves and Particles, New-York: McGraw-Hill 1966

  22. 22.

    Beck, R., Borysowicz, I., Brink, D. M., Mihailović, M. V.: Nucl. Phys.A244, 58 (1975)

  23. 23.

    Friedrich, H., Hüsken, H., Weiguny, A.: Nucl. Phys.A220, 125 (1974)

  24. 24.

    Barker, F. C., Hay, H. J., Treacy, P. B.: Austral. J. Phys.33, 239 (1968)

  25. 25.

    Okhrimenko, I. P.: Yad. Fiz.40, 412 (1984)

  26. 26.

    Filippov, G. F., Chopovsky, L. L., Vasilevsky, V. S.: Yad. Fiz.37, 839 (1983)

  27. 27.

    Bystrenko, A. V.: Yad. Fiz.40, 389 (1984)

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Okhrimenko, I.P. Calculation of quasi-stationary state parameters within the algebraic version of the resonating-group method. Few-Body Systems 2, 169–182 (1987). https://doi.org/10.1007/BF01113297

Download citation

Keywords

  • Elementary Particle
  • State Parameter
  • Dynamical Equation
  • Fourth Quadrant
  • Concrete Calculation