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On vibrational states in deformed odd-A nuclei

  • Nuclei
  • Published:
Zeitschrift für Physik A Atoms and Nuclei

Abstract

The equations for the description of vibrational states in deformed odd-A nuclei are obtained within the quasiparticle-phonon nuclear model. In these equations the Pauli principle is taken into account in the quasiparticle plus phonon components of the wave functions. It is shown that if in these components the Pauli principle is not violated or is slightly violated, the corresponding vibrational states may exist in deformed odd-A nuclei. If the Pauli principle is strongly violated in the quasiparticle plus phonon state, its centroid energy is shifted towards higher energies, and it can be fragmented over several levels. The analysis of the available experimental data on the low-lying vibrational states in deformed odd-A nuclei has shown that the experimental data do not contradict the results of these calculations.

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References

  1. Bohr, A., Mottelson, B.R.: Nuclear structure. Vol. II. New York: Benjamin 1975

    Google Scholar 

  2. Soloviev, V.G.: Theory of complex nuclei. Moscow: Nauka 1971 (Transl. Pergamon Press 1976)

    Google Scholar 

  3. Gnatovich, V., Gromov, K.Ya.: Yad. Fiz.3, 8 (1966)

    Google Scholar 

  4. Andrejtscheff, W., Manfrass, P.: Phys. Lett.55 B, 159 (1975)

    Google Scholar 

  5. Bunker, M.E., Reich, C.W.: Rev. Mod. Phys.43, 348 (1971)

    Google Scholar 

  6. Chasman, R.R., Ahmad, I., Friedman, A.M., Erskine, J.R.: Rev. Mod. Phys.49, 833 (1977)

    Google Scholar 

  7. Hoff, R.W., Longheed, R.W., Barreau, G., Börner, H.G., Davidson, W.F., Schreckenbach, K., Warner, D.D., White, D.H., von Egidi, T.: Proc. Neutron-Capture Gamma-Ray Spectroscopy and Related Topics 1981, ed. von Egidi, T., Conf. Ser. No. 62, p. 250. Bristol, London: Inst. Phys. 1982

    Google Scholar 

  8. von Egidi, T., Almeida, J., Barreau, G., Börner, H.G., Davidson, W.F., Hoff, R.W., Jeuch, P., Schreckenbach, K., Warner, D.D., White, D.H.: Phys. Lett.81 B, 281 (1979)

    Google Scholar 

  9. Soloviev, V.G.: Phys. Lett.16, 308 (1965)

    Google Scholar 

  10. Soloviev, V.G., Vogel, P.: Nucl. Phys. A92, 449 (1967)

    Google Scholar 

  11. Soloviev, V.G., Vogel, P., Junklaussen, G.: Izv. Akad. Nauk SSSR. Ser. Fiz.31, 518 (1967)

    Google Scholar 

  12. Malov, L.A., Soloviev, V.G.: Yad. Fiz.5, 566 (1967)

    Google Scholar 

  13. Gareev, F.A., Ivanova, S.P., Soloviev, V.G., Fedotov, S.I.: Part. Nucl.4, 357 (1973)

    Google Scholar 

  14. Gareev, F.A., Ivanova, S.P., Malov, L.A., Soloviev, V.G.: Nucl. Phys. A171, 134 (1971)

    Google Scholar 

  15. Ivanova, S.P., Komov, A.L., Malov, L.A., Soloviev, V.G.: Izv. Akad. Nauk SSSR, Ser. Fiz.37, 911 (1973);39, 1612 (1975)

    Google Scholar 

  16. Hoff, R.W., Davidson, W.F., Warner, D.D., Börner, H.G., von Egidi, T.: Phys. Rev. C25, 2232 (1982)

    Google Scholar 

  17. Lovhoiden, G., Burke, D.G., Flynn, E.R., Sunier, J.W.: Nucl. Phys. A315, 90 (1979)

    Google Scholar 

  18. Kvasil, J., Mikhailov, I.N., Safarov, R.Ch., Choriev, B.: Chech. J. Phys. B28, 843 (1978)

    Google Scholar 

  19. Begzhanov, R.B., Mikhailov, I.N., Safarov, R.Ch., Choriev, B.: Izv. Akad. Nauk SSSR, Ser. Fiz.43, 1026 (1979)

    Google Scholar 

  20. Soloviev, V.G.: Part. Nucl.9, 580 (1978)

    Google Scholar 

  21. Soloviev, V.G.: Nucleonica23, 1149 (1978)

    Google Scholar 

  22. Soloviev, V.G., Malov, L.A.: Nucl. Phys. A196, 443 (1972)

    Google Scholar 

  23. Iachello, F. (ed.): Interacting bose-fermi system in nuclei. New York: Plenum 1981

    Google Scholar 

  24. Janssen, D., Jolos, R.V., Dönau, F.: Nucl. Phys. A224, 93 (1974)

    Google Scholar 

  25. Iachello, F.: Proc. Neutron-Capture Gamma-Ray Spectroscopy and Related Topics 1981. von Egidi, T. (ed.), Conf. Ser. No. 62, p. 15. Bristol, London: Inst. Phys. 1982

    Google Scholar 

  26. Immele, J.D., Struble, C.L.: Phys. Rev. C15, 1085, 1103 (1977)

    Google Scholar 

  27. Soloviev, V.G.: Fundamental problems of theoretical and mathematical physics. D-12831. p. 424. Dubna: JINR 1979

    Google Scholar 

  28. Bastrukov, S.I., Nesterenko, V.O., Soloviev, V.G.: Preprint JINR, E4-82-167, Dubna (1982)

  29. Chan Zuy Khuong, Soloviev, V.G., Voronov, V.V.: J. Phys. G: Nucl. Phys.7, 151 (1981)

    Google Scholar 

  30. Jolos, R.V., Molina, H.L., Soloviev, V.G.: Teor. Mat. Fiz.40, 245 (1979)

    Google Scholar 

  31. Jolos, R.V., Molina, H.L., Soloviev, V.G.: Z. Phys. A — Atoms and Nuclei295, 147 (1980)

    Google Scholar 

  32. Soloviev, V.G., Shirikova, N.Yu.: Z. Phys. A — Atoms and Nuclei301, 263 (1981)

    Google Scholar 

  33. Soloviev, V.G., Shirikova, N.Yu.: Preprint JINR, E4-82-300, Dubna (1982)

  34. Nesterenko, V.O., Soloviev, V.G., Halkin, A.V.: Yad. Fiz.32, 1209 (1980)

    Google Scholar 

  35. Soloviev, V.G.: Preprint JINR, E4-81-829, Dubna (1981)

  36. Malov, L.A., Soloviev, V.G.: Part. Nucl.11, 302 (1980)

    Google Scholar 

  37. Schreckenbach, K., Namenson, A.I., Davidsin, W.F., von Egidi, T., Börner, H.G., Pinston, J.A., Smither, R.K., Warner, D.D., Casten, R.F., Stelts, M.L., White, D.H., Stöffl, W.: Nucl. Phys. A376, 149 (1982)

    Google Scholar 

  38. Gasser, M., Kern, J., Huber, O.: Nucl. Phys. A250, 106 (1975)

    Google Scholar 

  39. Boutet, J.: Z. Phys. A — Atoms and Nuclei,283, 369 (1977)

    Google Scholar 

  40. Wagner, L.K., Burke, D.G., Cheung, H.C., Kleinheinz, P., Schelme, R.K.: Nucl. Phys. A246, 43 (1975)

    Google Scholar 

  41. Kuvacha, I.L., Bondarenko, V.A., Prokofjev, P.T.: Izv. Akad. Nauk SSSR, Ser. Fiz.45, 752 (1981)

    Google Scholar 

  42. Tuurnala, T., Katajanheimo, R., Hammaren, E.: Z. Phys. A — Atoms and Nuclei280, 309 (1977)

    Google Scholar 

  43. Vylov, Ts., Gorozhankin, V.M., Gromov, K.Ya., Kuznetsov, V.V.: Preprint JINR, 6-81-462, Dubna (1981)

  44. Strerba, F.: Czech. J. Phys. B31, 578 (1981)

    Google Scholar 

  45. Bondarenko, V.A., Prokofjev, P.T.: Izv. Akad. Nauk SSSR, Ser. Fiz.43, 2131 (1979)

    Google Scholar 

  46. Bonch-Osmolovskaya, N.A., Batsev, S., Vylov, Ts., Gromov, K.Ya., Lobanov, Yu.Yu.: Izv. Akad. Nauk SSSR, Ser. Fiz.42, 2271 (1978)

    Google Scholar 

  47. Beitins, M.R., Kramer, N.D., Prokofjev, P.T., Tambergs, J.J., Jacobs, L., Vandenput, G., van den Cruyce, J.M., van Assche, P.H.M., Breitig, D., Baader, H.A., Coch, H.R.: Nucl. Phys. A269, 273 (1976)

    Google Scholar 

  48. Sharma, H.L., Hintz, N.M.: Phys. Rev. C13, 2288 (1976)

    Google Scholar 

  49. Jench, P., von Egidy, T., Schreckenbach, K., Mampe, W., Borner, H.G., Davidson, W.F., Pinston, J.A., Roussille, R.: Nucl. Phys. A317, 363 (1979)

    Google Scholar 

  50. Jonson, M.W., Thompson, R.C., Huizenga, J.R.: Phys. Rev. C17, 927 (1978)

    Google Scholar 

  51. Thompson, R.C., Huizenga, J.R., Elze, Th.W.: Phys. Rev. C13, 638 (1976)

    Google Scholar 

  52. Almeide, J., von Egidy, T., von Assche, P.H., Börner, H.G., Davidson, W.F., Schreckenbach, K., Namenson, A.I.: Nucl. Phys. A315, 71 (1979)

    Google Scholar 

  53. von Egidy, T., Cizewski, J.A., McCullagh, C.M., Malik, S.S., Stelts, M.L., Chrien, R.E., Breitig, D., Casten, R.F., Kane, W.R., Smith, G.J.: Phys. Rev. C20, 944 (1979)

    Google Scholar 

  54. Erskine, J.R.: Phys. Rev. C17, 934 (1978)

    Google Scholar 

  55. Malov, L.A., Nesterenko, V.O., Soloviev, V.G.: Izv. AN SSSR, Ser. Fiz.39, 1606 (1975)

    Google Scholar 

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Authors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna, USSR

    V. G. Soloviev, V. O. Nesterenko & S. I. Bastrukov

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  1. V. G. Soloviev
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  2. V. O. Nesterenko
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  3. S. I. Bastrukov
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Soloviev, V.G., Nesterenko, V.O. & Bastrukov, S.I. On vibrational states in deformed odd-A nuclei. Z Physik A 309, 353–361 (1983). https://doi.org/10.1007/BF01413839

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  • DOI: https://doi.org/10.1007/BF01413839

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