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Global Trends and Structural Consequences of the Proton-Neutron Interaction

  • D. S. Brenner
  • R. F. Casten
  • C. Wesselborg
  • D. D. Warner
  • J.-Y. Zhang

Abstract

The average p-n interaction energy of each of the last two protons with each of the last two neutrons can be computed from the double difference in binding energies,
$$\delta {V_{pn}}(Z + 1,N + 1) = \{ [B(Z + 2,N + 2) - B(Z + 2,N)] - [B(Z,N + 2) - B(Z,N)]\} /4.$$
Summation of δV pn , over all valence nucleons yields V pn , the integrated valence p-n interaction, which is found to increase linearly with N p N n , early in a shell and then saturates as mid-shell is approached. This saturation in V pn is consistent with the saturation in collectivity near mid-shell as evidenced by experimental B(E2:0+→2+) values and thus provides empirical support for the N p N n scheme. Results for various shell and subshell regions are discussed.

Keywords

Interaction Strength Brookhaven National Laboratory Valence Neutron Neutron Shell Valence Nucleon 
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.

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References

  1. 1.
    R. F. Casten, D. S. Brenner, and P. E. Haustein, Phys. Rev. Lett. 58, 658 (1987).CrossRefGoogle Scholar
  2. 2.
    Y. Y. Sharon, Phys. Rev. C 37, 1768 (1988).CrossRefGoogle Scholar
  3. 3.
    R. F. Casten, Phys. Rev. Lett. 54, 1991 (1985).CrossRefGoogle Scholar
  4. 4.
    J.-Y. Zhang, R. F. Casten, and D. S. Brenner, Phys. Lett. 227B, 1 (1989).Google Scholar
  5. 5.
    A. de Shalit and M. Goldhaber, Phys. Rev. 92, 1211 (1953).CrossRefGoogle Scholar
  6. 6.
    I. Talmi, Rev. Mod. Phys. 34, 704 (1962).CrossRefGoogle Scholar
  7. 7.
    J. P. Schiffer, Ann. Phys. 66, 798 (1971); J. P. Schiffer and W. W. True, Rev. Mod. Phys. 48, 191 (1976).Google Scholar
  8. 8.
    A. Molinari, et al Nucl. Phys. A239, 45 (1975).Google Scholar
  9. 9.
    M. Sakai, Nucl. Phys. A345, 232 (1980).Google Scholar
  10. 10.
    J.-Y. Zhang, C.-S. Wu, C.-H. Yu, and J. D. Garrett, Contemp. Topics in Nucl. Stnicture Phys., Cocoyoc, 1988, Abstract Vol., p. 109.Google Scholar
  11. 11.
    J. Janecke and E. Comay, Nucl. Phys. A436, 108 (1985).Google Scholar
  12. 12.
    N. Zeldes, M. Gronau, and A. Lev, Nucl. Phys. 63, 1 (1965).CrossRefGoogle Scholar
  13. 13.
    J. Janecke and H. Behrens, Phys. Rev.C 9, 1276 (1974).CrossRefGoogle Scholar
  14. 14.
    M. K. Basu and D. Banerjee, Phys. Rev. C 3, 992 (1971).CrossRefGoogle Scholar
  15. 15.
    A. H. Wapstra, G. Audi, and R. Hoekstra, At. Data Nucl. Data Tables 39, 281 (1988).CrossRefGoogle Scholar
  16. 16.
    G. T. Garvey and I. Kelson, Phys. Rev. Lett. 16, 197 (1966).CrossRefGoogle Scholar
  17. 17.
    G. G. Dussel, R. J. Liotta, and R. P. J. Perazzo, Nucl. Phys. A388, 606 (1982).Google Scholar
  18. 18.
    R. D. Evans, The Atomic Nucleus (McGraw-Hill, New York, 1955), p. 369.Google Scholar
  19. 19.
    A. Arima and V. Gillet,Ann. Phys. (N.Y.) 66, 117 (1971).CrossRefGoogle Scholar
  20. 20.
    M. Danos and V. Gillet, Z. Phys. 249, 294 (1972).CrossRefGoogle Scholar
  21. 21.
    Y. K. Gambhir, P. Ring, and P. Schuck, Phys. Rev. Lett. 51,1235 (1983).CrossRefGoogle Scholar
  22. 22.
    Modified MSU shell-model code.Google Scholar
  23. 23.
    A. de Shalit and H. Feshbach, Theoretical Nuclear Physics (Wiley, New York, 1974).Google Scholar

Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • D. S. Brenner
    • 1
  • R. F. Casten
    • 2
  • C. Wesselborg
    • 2
    • 3
  • D. D. Warner
    • 4
  • J.-Y. Zhang
    • 5
    • 6
    • 7
  1. 1.Clark UniversityWorcesterUSA
  2. 2.Brookhaven National LaboratoryUptonUSA
  3. 3.University of GiessenGiessenWest Germany
  4. 4.Daresbury LaboratoryDaresburyEngland
  5. 5.Clark UniversityWorcesterUSA
  6. 6.Brookhaven National LaboratoryUptonUSA
  7. 7.Center of Theoretical Physics, (CCAST World Lab)Institute of Modern PhysicsPRC

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