The two-proton shell gap in Sn isotopes

  • P. Fleischer
  • P. Klüpfel
  • T. Cornelius
  • T. J. Bürvenich
  • S. Schramm
  • J. A. Maruhn
  • P. -G. Reinhard
Article

Abstract.

We present an analysis of two-proton shell gaps in Sn isotopes. As theoretical tool we use self-consistent mean-field models, namely the relativistic mean-field model and the Skyrme-Hartree-Fock approach, both with two different pairing forces, a delta interaction (DI) model and a density-dependent delta interaction (DDDI). We investigate the influence of nuclear deformation as well as collective correlations and find that both effects contribute significantly. Moreover, we find a further significant dependence on the pairing force used. The inclusion of deformation plus correlation effects and the use of DDDI pairing provides agreement with the data.

PACS.

21.10.Dr Binding energies and masses 21.10.Pc Single-particle levels and strength functions 21.60.Jz Hartree-Fock and random-phase approximations 24.10.Jv Relativistic models 

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References

  1. 1.
    M. Göppert-Mayer, Phys. Rev. 75, 1969 (1949).CrossRefGoogle Scholar
  2. 2.
    O. Haxel, J.H.D. Jensen, H.E. Suess, Phys. Rev. 75, 1766 (1949).CrossRefGoogle Scholar
  3. 3.
    T. Radon, H. Geissel, G. Münzenberg, B. Franzke, T. Kerscher, F. Nolden, Y.N. Novikov, Z. Patyk, C. Scheidenberger, F. Attallah, K. Beckert, T. Beha, F. Bosch, H. Eickhoff, M. Falch, Y. Fujita, M. Hausmann, F. Herfurth, H. Irnich, H.C. Jung, O. Klepper, C. Kozhuharov, Y.A. Litvinov, K.E.G. Löbner, F. Nickel, H. Reich, W. Schwab, B. Schlitt, M. Steck, K. Sümmerer, T. Winkler, H. Wollnik, Nucl. Phys. A 677, 75 (2000).CrossRefGoogle Scholar
  4. 4.
    P.-G. Reinhard, M. Bender, J.A. Maruhn, Commun. Mod. Phys. A 2, 177 (2002).Google Scholar
  5. 5.
    M. Bender, W. Nazarewicz, P.-G. Reinhard, Phys. Lett. B 515, 42 (2001).CrossRefGoogle Scholar
  6. 6.
    V. Bernard, Nguyen Van Giai, Nucl. Phys. A 348, 75 (1980).CrossRefGoogle Scholar
  7. 7.
    K. Rutz, M. Bender, P.-G. Reinhard, J.A. Maruhn, W. Greiner, Nucl. Phys. A 634, 67 (1998).CrossRefGoogle Scholar
  8. 8.
    M. Bender, K. Rutz, P.-G. Reinhard, J.A. Maruhn, W. Greiner, Phys. Rev. C 60, 034304 (1999).CrossRefGoogle Scholar
  9. 9.
    Y.N. Novikov, F. Attallah, F. Bosch, M. Falch, H. Geissel, M. Hausmann, T. Kerscher, O. Klepper, H.-J. Kluge, C. Kozhuharov, Y.A. Litvinov, K.E.G. Löbner, G. Münzenberg, Z. Patyk, T. Radon, C. Scheidenberger, A.H. Wapstra, H. Wollnik, Nucl. Phys. A 697, 92 (2002).CrossRefGoogle Scholar
  10. 10.
    M. Bender, T. Cornelius, G. Lalazissis, J. Maruhn, W. Nazarewicz, P.-G. Reinhard, Eur. Phys. J. A 14, 23 (2002).CrossRefGoogle Scholar
  11. 11.
    M. Bender, P.-H. Heenen, P.-G. Reinhard, Rev. Mod. Phys. 75, 121 (2003).CrossRefGoogle Scholar
  12. 12.
    B.D. Serot, J.D. Walecka, Adv. Nucl. Phys. 16, 1 (1986).Google Scholar
  13. 13.
    P.-G. Reinhard, Rep. Prog. Phys. 52, 439 (1989).CrossRefGoogle Scholar
  14. 14.
    B.A. Nikolaus, T. Hoch, D.G. Madland, Phys. Rev. C 46, 1757 (1992).CrossRefGoogle Scholar
  15. 15.
    T. Bürvenich, D.G. Madland, J.A. Maruhn, P.-G. Reinhard, Phys. Rev. C 65, 044308 (2002).CrossRefGoogle Scholar
  16. 16.
    J. Bartel, P. Quentin, M. Brack, C. Guet, H.-B. Håkansson, Nucl. Phys. A 386, 79 (1982).CrossRefGoogle Scholar
  17. 17.
    E. Chabanat, P. Bonche, P. Haensel, J. Meyer, R. Schaeffer, Nucl. Phys. A 627, 710 (1997).CrossRefGoogle Scholar
  18. 18.
    P.-G. Reinhard, H. Flocard, Nucl. Phys. A 584, 467 (1995).CrossRefGoogle Scholar
  19. 19.
    P.-G. Reinhard, D.J. Dean, W. Nazarewicz, J. Dobaczewski, J.A. Maruhn, M.R. Strayer, Phys. Rev. C 60, 014316 (1999).CrossRefGoogle Scholar
  20. 20.
    M. Bender, Phys. Rev. C 61, 031302(R) (2000).CrossRefGoogle Scholar
  21. 21.
    Y.K. Gambhir, P. Ring, A. Thimet, Ann. Phys. (N.Y.) 198, 132 (1990).Google Scholar
  22. 22.
    F. Tondeur, Nucl. Phys. A 315, 353 (1979).CrossRefGoogle Scholar
  23. 23.
    S.J. Krieger, P. Bonche, H. Flocard, P. Quentin, M.S. Weiss, Nucl. Phys. A 517, 275 (1990).CrossRefGoogle Scholar
  24. 24.
    J. Terasaki, P.-H. Heenen, P. Bonche, J. Dobaczewski, H. Flocard, Nucl. Phys. A 593, 1 (1995).CrossRefGoogle Scholar
  25. 25.
    M. Bender, K. Rutz, P.-G. Reinhard, J. Maruhn, Eur. Phys. J. A 8, 59 (2000).Google Scholar
  26. 26.
    M. Baranger, M. Vénéroni, Ann. Phys. (N.Y.) 114, 123 (1978).CrossRefGoogle Scholar
  27. 27.
    K. Goeke, P.-G. Reinhard, Ann. Phys. (N.Y.) 112, 328 (1978).Google Scholar
  28. 28.
    P.-G. Reinhard, K. Goeke, Rep. Prog. Phys. 50, 1 (1987).CrossRefGoogle Scholar
  29. 29.
    P. Bonche, J. Dobaczewski, H. Flocard, P.-H. Heenen, J. Meyer, Nucl. Phys. A 510, 466 (1990).CrossRefGoogle Scholar
  30. 30.
    P.-G. Reinhard, Z. Phys. A 285, 93 (1978).Google Scholar
  31. 31.
    K. Hagino, P.-G. Reinhard, G. Bertsch, Phys. Rev. C 65, 064320 (2002).CrossRefGoogle Scholar
  32. 32.
    K. Hagino, G. Bertsch, P.-G. Reinhard, Phys. Rev. C 68, 024306 (2003).CrossRefGoogle Scholar
  33. 33.
    P. Fleischer, PhD Thesis, Universität, Erlangen/Germany, 2003.Google Scholar
  34. 34.
    P. Fleischer, P. Klüpfel, P.-G. Reinhard, J.A. Maruhn, to be published in Phys. Rev. C.Google Scholar
  35. 35.
    P.-G. Reinhard, Nucl. Phys. A 252, 120 (1975). CrossRefGoogle Scholar
  36. 36.
    P.-G. Reinhard, Nucl. Phys. A 261, 291 (1976).CrossRefGoogle Scholar
  37. 37.
    V. Strutinski, Nucl. Phys. A 95, 420 (1967).CrossRefGoogle Scholar
  38. 38.
    M. Brack, J. Damgård, A. Jensen, H. Pauli, V. Strutinski, C. Wong, Rev. Mod. Phys. 44, 320 (1972).CrossRefGoogle Scholar
  39. 39.
    V. Blum, J. Fink, P.-G. Reinhard, J.A. Maruhn, W. Greiner, Phys. Lett. B 223, 123 (1989).CrossRefGoogle Scholar
  40. 40.
    P.-G. Reinhard, D. Drechsel, Z. Phys. A 290, 85 (1979).Google Scholar
  41. 41.
    F. Barranco, R.A. Broglia, Phys. Lett. B 151, 90 (1985).CrossRefGoogle Scholar
  42. 42.
    A. Avdeenkov, S. Kamerdzhiev, JETP Lett. 69, 715 (1999).Google Scholar
  43. 43.
    J. Dobaczewski, W. Nazarewicz, M. Stoitsov, Eur. Phys. J. A 15, 21 (2002).Google Scholar
  44. 44.
    T. Duguet, Phys. Rev. C 69, 054317 (2004).CrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag 2004

Authors and Affiliations

  • P. Fleischer
    • 1
  • P. Klüpfel
    • 1
  • T. Cornelius
    • 2
  • T. J. Bürvenich
    • 3
  • S. Schramm
    • 2
  • J. A. Maruhn
    • 2
  • P. -G. Reinhard
    • 1
  1. 1.Institut für Theoretische PhysikUniversität ErlangenErlangenGermany
  2. 2.Institut für Theoretische PhysikUniversität FrankfurtFrankfurtGermany
  3. 3.Theoretical DivisionLos Alamos National LaboratoryLos AlamosUSA

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