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The shell model Monte Carlo approach to level densities: Recent developments and perspectives

  • Y. AlhassidEmail author
Review
Part of the following topical collections:
  1. Perspectives on Nuclear Data for the Next Decade

Abstract.

We review recent advances in the shell model Monte Carlo approach for the microscopic calculation of statistical and collective properties of nuclei. We discuss applications to the calculation of i) level densities in nickel isotopes, implementing a recent method to circumvent the odd-particle sign problem; ii) state densities in heavy nuclei; iii) spin distributions of nuclear levels; and iv) finite-temperature quadrupole distributions.

Keywords

Shell Model Level Density Spin Distribution Nuclear Level Density Nickel Isotope 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    W. Hauser, H. Feshbach, Phys. Rev. 87, 366 (1952)ADSzbMATHCrossRefGoogle Scholar
  2. 2.
    A.J. Koning, S. Hilaire, S. Goriely, Nucl. Phys. A 810, 13 (2008) and references thereinADSCrossRefGoogle Scholar
  3. 3.
    S. Hilaire, M. Girod, S. Goriely, A.J. Koning, Phys. Rev. C 86, 064317 (2012)ADSCrossRefGoogle Scholar
  4. 4.
    G.H. Lang, C.W. Johnson, S.E. Koonin, W.E. Ormand, Phys. Rev. C 48, 1518 (1993)ADSCrossRefGoogle Scholar
  5. 5.
    Y. Alhassid, D.J. Dean, S.E. Koonin, G.H. Lang, W.E. Ormand, Phys. Rev. Lett. 72, 613 (1994)ADSCrossRefGoogle Scholar
  6. 6.
    S.E. Koonin, D.J. Dean, K. Langanke, Phys. Rep. 278, 2 (1997)ADSCrossRefGoogle Scholar
  7. 7.
    Y. Alhassid, Int. J. Mod. Phys. B 15, 1447 (2001)ADSCrossRefGoogle Scholar
  8. 8.
    H. Nakada, Y. Alhassid, Phys. Rev. Lett. 79, 2939 (1997)ADSCrossRefGoogle Scholar
  9. 9.
    Y. Alhassid, S. Liu, H. Nakada, Phys. Rev. Lett. 83, 4265 (1999)ADSCrossRefGoogle Scholar
  10. 10.
    Y. Alhassid, S. Liu, H. Nakada, Phys. Rev. Lett. 99, 162504 (2007)ADSCrossRefGoogle Scholar
  11. 11.
    Y. Alhassid, L. Fang, H. Nakada, Phys. Rev. Lett. 101, 082501 (2008)ADSCrossRefGoogle Scholar
  12. 12.
    C. Özen, Y. Alhassid, H. Nakada, Phys. Rev. Lett. 110, 042502 (2013)ADSCrossRefGoogle Scholar
  13. 13.
    A. Mukherjee, Y. Alhassid, Phys. Rev. Lett. 109, 032503 (2012)ADSCrossRefGoogle Scholar
  14. 14.
    M. Bonett-Matiz, A. Mukherjee, Y. Alhassid, Phys. Rev. C 88, 011302(R) (2013)ADSCrossRefGoogle Scholar
  15. 15.
    C. Özen, Y. Alhassid, H. Nakada, Phys. Rev. C 91, 034329 (2015)ADSCrossRefGoogle Scholar
  16. 16.
    Y. Alhassid, C.N. Gilbreth, G.F. Bertsch, Phys. Rev. Lett. 113, 262503 (2014)ADSCrossRefGoogle Scholar
  17. 17.
    J. Hubbard, Phys. Rev. Lett. 3, 77 (1959)ADSCrossRefGoogle Scholar
  18. 18.
    R.L. Stratonovich, Dokl. Akad. Nauk. S.S.S.R. 115, 1097 (1957)Google Scholar
  19. 19.
    W.E. Ormand, D.J. Dean, C.W. Johnson, S.E. Koonin, Phys. Rev. C 49, 1422 (1994)ADSCrossRefGoogle Scholar
  20. 20.
    A. Bohr, B. Mottelson, Nuclear Structure, Vol. 1 (Benjamin, New York, 1969)Google Scholar
  21. 21.
    A.V. Voinov, S.M. Grimes, C.R. Brune, T. Massey, A. Schiller, EPJ Web of Conferences 21, 05002 (2012)CrossRefGoogle Scholar
  22. 22.
    Y. Alhassid, M. Bonett-Matiz, S. Liu, H. Nakada, Phys. Rev. C 92, 024307 (2015)ADSCrossRefGoogle Scholar
  23. 23.
    R. Capote, M. Herman, P. Oblozinsky, P.G. Young, S. Goriely, T. Belgya, A.V. Ignatyuk, A.J. Koning, S. Hilaire, V.A. Plujko, M. Avrigeanu, O. Bersillon, M.B. Chadwick, T. Fukahori, Zhigang Ge, Yinlu Han, S. Kailas, J. Kopecky, V.M. Maslov, G. Reffo, M. Sin, E.Sh. Soukhovitskii, P. Talou, Nuclear Data Sheets 110, 3107 (2009)ADSCrossRefGoogle Scholar
  24. 24.
    A.V. Voinov, private communicationGoogle Scholar
  25. 25.
    Y. Alhassid, M. Bonett-Matiz, A. Mukherjee, H. Nakada, C. Özen, J. Phys.: Conf. Ser. 580, 012009 (2015)ADSGoogle Scholar
  26. 26.
    Y. Alhassid, Y.C. Özen, H. Nakada, Nucl. Data Sheets 118, 233 (2014)ADSCrossRefGoogle Scholar
  27. 27.
    T. Ericson, Adv. Phys. 9, 425 (1960)ADSCrossRefGoogle Scholar
  28. 28.
    T. von Egidy, D. Bucurescu, Phys. Rev. C 78, 051301(R) (2008)ADSCrossRefGoogle Scholar
  29. 29.
    T. von Egidy, D. Bucurescu, Phys. Rev. C 80, 054310 (2009)ADSCrossRefGoogle Scholar
  30. 30.
    S. Levit, Y. Alhassid, Nucl. Phys. A 413, 439 (1984)ADSCrossRefGoogle Scholar
  31. 31.
    Y. Alhassid, S. Levit, J. Zingman, Phys. Rev. Lett. 57, 539 (1986)ADSCrossRefGoogle Scholar
  32. 32.
    Y. Alhassid, G.F. Bertsch, L. Fang, B. Sabbey, Phys. Rev. C 74, 034301 (2006)ADSCrossRefGoogle Scholar
  33. 33.
    R. Rodriguez-Guzman, Y. Alhassid, G.F. Bertsch, Phys. Rev. C 77, 064308 (2008)ADSCrossRefGoogle Scholar

Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Center for Theoretical Physics, Sloane Physics LaboratoryYale UniversityNew HavenUSA

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