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Fluctuation properties of states in26Al

  • Nuclear Structure and Reactions
  • Published:
Zeitschrift für Physik A Atomic Nuclei

Abstract

The fluctuation properties of the energy levels of26Al from the ground state to excitation energies of about 8 MeV have been examined. Several statistics have been employed, and particular attention has been given to the suitability of these statistics for small sample sizes. The results show, for a variety of states, behavior intermediate between GOE and Poisson but apparently favoring GOE. The results are consistent with the fluctuations' being independent of isospin.

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References

  1. Chaotic behavior in quantum systems: theory and applications. Casati, G. (ed.), New York: Plenum 1985

    Google Scholar 

  2. Quantum chaos and statistical nuclear physics. Seligman, T.H., Nishioka, H. (eds.), Berlin, Heidelberg, New York: Springer 1986

    Google Scholar 

  3. Bohigas, O., Giannoni, M.J., Schmit, C.: Phys. Rev. Lett52, 1 (1984)

    Google Scholar 

  4. Brody, T.A., Flores, J., French, J.B., Mello, P.A., Pandey, A., Wong, S.S.M.: Rev. Mod. Phys.53, 385 (1981)

    Google Scholar 

  5. Seligman, T.H., Verbaarschot, J.J.M., Zirnbauer, M.R.: Phys. Rev. Lett.53, 215 (1984)

    Google Scholar 

  6. Seligman, T.H., Verbaarschot, J.J.M., Zirnbauer, M.R.: J. Phys. A18, 2751 (1985)

    Google Scholar 

  7. Delande, D., Gay, J.C.: Phys. Rev. Lett.57, 2006 (1986);57, 2877 (1986)

    Google Scholar 

  8. Wintgen, D., Marxer, H.: Phys. Rev. Lett.60, 971 (1988)

    Google Scholar 

  9. Meredith, D.C., Koonin, S.E., Zirnbauer, M.R.: Phys. Rev. A37, 3499 (1988)

    Google Scholar 

  10. Berry, M.V., Tabor, M.: Proc. R. Soc. London A356, 375 (1977)

    Google Scholar 

  11. Casati, G., Chirikov, B., Guarneri, I.: Phys. Rev. Lett.54, 1350 (1985)

    Google Scholar 

  12. Cheon, T., Cohen, T.D.: Phys. Rev. Lett.62, 2769 (1989)

    Google Scholar 

  13. Berry, M.V.: Ann. Phys. (NY)131, 163 (1981)

    Google Scholar 

  14. Berry, M.V., Robnik, M.: J. Phys. A17, 2413 (1984)

    Google Scholar 

  15. Berry, M.V.: Proc. R. Soc. London A400, 229 (1985)

    Google Scholar 

  16. Eckhardt, B.: Phys. Rep.163, 205 (1988)

    Google Scholar 

  17. Bohigas, O., Weidenüller, H.A.: Ann. Rev. Nucl. Part. Sci.38, 421 (1988)

    Google Scholar 

  18. Haq, R.U., Pandey, A., Bohigas, O.: Phys. Rev. Lett.48, 1086 (1982)

    Google Scholar 

  19. Bohigas, O., Haq, R.U., Pandey, A.: Phys. Rev. Lett.54, 1645 (1985)

    Google Scholar 

  20. von Egidy, T., Behkami, A.N., Schmidt, H.H.: Nucl. Phys. A454, 109 (1986)

    Google Scholar 

  21. von Egidy, T., Schmidt, H.H., Behkami, A.N.: Nucl. Phys. A481, 189 (1988)

    Google Scholar 

  22. Abul-Magd, A.Y., Weidenmüller, H.A.: Phys. Lett.162 B, 223 (1985)

    Google Scholar 

  23. Rosenzweig, N., Porter, C.E.: Phys. Rev.120, 1698 (1960)

    Google Scholar 

  24. Camarda, H.S., Georgopulos, P.D.: Phys. Rev. Lett.50, 492 (1983)

    Google Scholar 

  25. Zimmerman, Th., Köppel, H., Cederbaum, L.S., Persch, G., Demtröder, W.: Phys. Rev. Lett.61, 3 (1988)

    Google Scholar 

  26. Persch, G., Mehdizadeh, E., Demtröder, W., Zimmerman, Th., Köppel, H., Cederbaum, L.S.: Ber. Bunsenges. Phys. Chem.92, 312 (1988)

    Google Scholar 

  27. Endt, P.M., de Wit, P., Alderliesten, C.: Nucl. Phys. A459, 61 (1986)

    Google Scholar 

  28. Endt, P.M., de Wit, P., Alderliesten, C.: Nucl. Phys. A476, 333 (1988)

    Google Scholar 

  29. Endt, P.M., de Wit, P., Alderliesten, C., Wildenthal, B.H.: Nucl. Phys. A487, 221 (1988)

    Google Scholar 

  30. Mitchell, G.E., Bilpuch, E.G., Endt, P.M., Shriner, J.F., Jr.: Phys. Rev. Lett.61, 1473 (1988)

    Google Scholar 

  31. Wigner, E.P.: Gatlinburg Conference on Neutron Physics by Time-of-flight, Oak Ridge National Laboratory Report ORNL 2309 (1957), p. 59

  32. Brody, T.A.: Lett. Nuovo Cimento7, 482 (1973)

    Google Scholar 

  33. Dyson, F.J., Mehta, M.L.: J. Math. Phys.4, 701 (1963)

    Google Scholar 

  34. Seligman, T.H., Verbaarschot, J.J.M.: J. Phys. A18, 2227 (1985)

    Google Scholar 

  35. Mehta, M.L.: Statistical properties of nuclei. Garg, J.B. (ed.), p. 179. New York: Plenum Press 1972

    Google Scholar 

  36. Efron, B.: SIAM Review21, 460 (1979)

    Google Scholar 

  37. Shriner, J.F., Jr., Mitchell, G.E., Bilpuch, E.G.: Nucl. Instrum. Methods A254, 139 (1987)

    Google Scholar 

  38. Shriner, J.F., Jr., Mitchell, G.E., Bilpuch, E.G.: (to be published)

  39. Dyson, F.J.: J. Math. Phys.3, 1191 (1962)

    Google Scholar 

  40. Pandey, A.: Ann. Phys. (NY)134, 110 (1981)

    Google Scholar 

  41. Guhr, T., Weidenmüller, H.A.: Private communication

  42. Paar, V., Vorkapic, D., Heyde, K., van Hees, A.G.M., Wolters, A.A.: Phys. Rev. Lett.62, 2643 (1989)

    Google Scholar 

  43. Paar, V., Vorkapic, D.: (to be published)

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Work supported in part by U.S. Department of Energy, Office of High Energy and Nuclear Physics, under Contracts No. DEFG05-87ER40353, DE-AC05-76ER01067, and DE-FG05-88ER40441

We wish to thank T. Guhr and H.A. Weidenmüller for valuable discussions on theoretical issues and for their computer code to calculate GOE spectra, and T. von Egidy for discussions on the level density corrections.

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Shriner, J.F., Bilpuch, E.G., Endt, P.M. et al. Fluctuation properties of states in26Al. Z. Physik A - Atomic Nuclei 335, 393–400 (1990). https://doi.org/10.1007/BF01290186

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