Skip to main content
SpringerLink
Log in

A study of the Thomas-Reiche-Kuhn sum rule in finite nuclei

  • Published:
La Rivista del Nuovo Cimento (1978-1999) Aims and scope

Summary and conclusions

In the present paper we have evaluated the TRK sum rule in spherical nuclei using many variants of realistic potentials. The crucial role of correlations has been discussed, even for the most recent parametrizations of the nucleon-nucleon forces, within a phenomenological model for the correlated ground state. In addition, the RPA values of the integrated photonuclear cross-section are reviewed: both schematic zero-range effective forces (of Skyrme type) and finite-range density-dependent forces have been discussed.

  1. i)

    The theoretical evaluation of the TRK sum rule represents a good test for the nucleon-nucleon potential model and the ground-state description. In particular, the inclusion of dynamical medium-range correlations (of tensor type mainly) enhances the values of the total sum considerably.

  2. ii)

    The TRK sum can be studied even within the RPA framework of the nuclear excitations. The values obtained are strongly dependent on the effective potentials, while the self-consistent treatment of the nuclear ground state and effective forces is not crucial in the numerical results.

  3. iii)

    A clear comparison between theoretical calculations and experimental observations is limited by contradictory experimental results and by the difficulties of evaluating higher-multipole excitations and tail contribution to the integrated photonuclear cross-section.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. H. Arenhoevel: inProceedings of the International Conference on Nuclear Physics with Electromagnetic Interactions, Mainz. 1979, edited byH. Arenhoevel andD. Drechsel,Lecture Notes in, Physics, Vol.108 (Springer-Verlag, Berlin 1979), p. 159;O. Bohigas:Suppl. Prog. Theor. Phys.. 74, 380 (1983);J. Ahrens:Nucl. Phys. A,446, 229c (1985);M.M. Giannini and G. Ricco:Riv. Nuoro Cimento,8, No. 4 (1985).

    Google Scholar 

  2. R. Leonardi andM. Rosa-Clot:Riv. Nuovo Cimento,1, 1 (1971).

    Article  Google Scholar 

  3. J.V. Noble:Phys. Rep. C. 40, 241 (1978).

    Article  Google Scholar 

  4. D. Drechsel: inProceedings on the IV Seminar on Electromagnetic Interactions of Nuclei at Low and Medium Energies, Moscow, 1977 (Academy of Science, Moscow, 1979), p. 293.

    Google Scholar 

  5. O. Bohigas, A.M. Lane andJ. Martorell:Phys. Rep.,51, 267 (1979).

    Article  Google Scholar 

  6. O. Bohigas: inTheory and Applications of Moment Methods in Many-Fermion Systems, edited byB. J. Dalton.S. M. Grimes, J. P. Vary andS.A. Williams (Plenum Press, New York, N. Y., 1980).

    Google Scholar 

  7. G. Orlandini: inFrom Collective States to Quarks in Nuclei, Proceedings of the Workshop on Nuclear Physics with Real and Virtual Photons, Bologna, 1980, edited byH. Arenhoevel andA. M. Saruis,Lecture Notes in Physics, Vol.137 (Springer-Verlag, Berlin, 1981), p. 72.

    Google Scholar 

  8. W. Kuhn:Z. Phys.,33, 408 (1923);L. Ladenburg and F. Reiche:Naturwissen-schaften,11, 873 (1923);L. H. Thomas:Naturwissenschaften,13, 627 (1925).

    Article  Google Scholar 

  9. J. S. Levinger andH.A. Bethe:Phys. Rev.,78, 115 (1950).

    Article  Google Scholar 

  10. A. Arima, G. E. Brown, H. Hyuga andM. Icihmura:Nucl. Phys. A,205, 27 (1973).

    Article  Google Scholar 

  11. W. T. Weng, T. T. S. Kuo andG. E. Brown:Phys. Lett. B,46, 329 (1973).

    Article  Google Scholar 

  12. D.M. Brink andR. Leonardi:Nucl. Phys. A,258, 285 (1976);G. F. Bertsch and S. F. Tsai:Phys. Rep. C,18, 125 (1975);J. Meyer, P. Quentin and B.K. Jennings:Nucl. Phys. A. 385, 269 (1982).

    Article  Google Scholar 

  13. S. Stringari, E. Lipparini, G. Orlandini, M. Traini andR. Leonardi:Nucl. Phys. A,309, 177, 189 (1978).

    Article  Google Scholar 

  14. J. Ahrens, H. Borohert, K. H. Czock, H. B. Eppler, H. Gimm, H. Gundrim, M. Kroening, P. Rieiin.G. Sita Ram, A. Zieger andB. Ziegler:Nucl. Phys. A,251, 479 (1975).

    Article  Google Scholar 

  15. A. Leprětre, H. Beil, R. Bergère, P. Carlos, J. Fagot, A. de Miniac andA. Vetssière:Nucl. Phys. A,367, 237 (1981).

    Article  Google Scholar 

  16. A. Fabroncini andS. Fantoni:Nucl. Phys. A,435, 448 (1985).

    Article  Google Scholar 

  17. A. Fabroncini, I. E. Lagaris, M. Viviani andS. Fantoni:Phys. Lett. B,156, 277 (1985).

    Article  Google Scholar 

  18. T. Hamada andJ. D. Johnston:Nucl. Phys.,34, 382 (1962).

    Article  Google Scholar 

  19. K. E. Lassila, M. H. Hull {jrjr.},H. M. Ruppel, F. A. McDonald andG. Breit:Phys. Rev.,124, 1538 (1961).

    Article  Google Scholar 

  20. R. de Tourreil andD. W. Sprung:Nucl. Phys. A,201, 193 (1973);R. de Tour-reil, R. Rouben and D.W. Sprung:Nucl. Phys. A,242, 445 (1975).

    Article  Google Scholar 

  21. I.E. Lagaris andV.R. Pandharipande:Nucl. Phys. A,359, 331 (1981).

    Article  Google Scholar 

  22. M. Traini andG. Orlandini:Z. Phys.,321, 479 (1985);F. Dellagiacoma, G. Orlandini and M. Traini:Nucl. Phys. A,393, 95 (1983).

    Article  Google Scholar 

  23. H. Arenhoevel andW. Fabian:Nucl. Phys. A,292, 429 (1977).

    Article  Google Scholar 

  24. F. Dellagiacoma, R. Ferrari, G. Orlandini andM. Traini:Phys. Rev. C,29, 777 (1984);G. Orlandini and M. Traini:Phys. Rev. C,31, 280 (1985);32, 320 (1985).

    Article  Google Scholar 

  25. G. Orlandini, M. Traini, R. Ferrari andR. Leonardi:Phys. Lett. B,134, 143 (1984).

    Article  Google Scholar 

  26. T. H. R. Skyrme:Philos. Mag.,1, 1043 (1950);Nucl. Phys.,9, 615 (1959);D. Vautherin and D.M. Brink:Phys. Rev. C,5, 626 (1972).

    Article  Google Scholar 

  27. J. P. Blaizot andD. Gogny:Nucl. Phys. A,284, 429 (1977).

    Article  Google Scholar 

  28. A. B. Volkov:Nucl. Phys.,74, 33 (1964).

    Article  Google Scholar 

  29. D. M. Brink andE. Boeker:Nucl. Phys. A,91, 1 (1967).

    Article  Google Scholar 

  30. D. J. Thouless:Nucl. Phys.,21, 225 (1960).

    Article  MathSciNet  Google Scholar 

  31. A. Dellafiore andM. Traini:Nucl. Phys. A,344, 509 (1980);V. Tornow, G. Orlandini, M. Traini, D. Drechsel and H. Arenhoevel:Nucl. Phys. A,348, 157 (1980).

    Article  Google Scholar 

  32. M. Pancheri: Thesis, Trento (Italy) (1983), unpublished.

  33. M. Gari, H. Hyuga andJ. G. Zabolitzky:Nucl. Phys. A,271, 365 (1976).

    Article  Google Scholar 

  34. For review seeA. Arima: inProceedings of the International Conference on Nuclear Physics, Berkeley, 1980, edited byR. M. Diamond andJ. O. Rasmussen (North-Holland Publ. Co., Amsterdam, 1981), p. 19c.

    Google Scholar 

  35. M. Beiner, H. Flocard, Nguyen Van Giai andP. Quentin:Nucl. Phys. A,238, 29 (1975).

    Article  Google Scholar 

  36. L. Michelini: Thesis, Trento (Italy) (1981), unpublished.

  37. B. L. Berman, R. Bergère andP. Carlos:Phys. Rev. C,26, 304 (1982);P. Carlos, H. Beil, R. Bergère, B. L. Berman, A. Leprètre and A. Veyssière:Nucl. Phys. A,358, 317 (1982).

    Article  Google Scholar 

  38. O. Bohigas:Suppl. Prog. Theor. Phys.,74, 380 (1983).

    Article  Google Scholar 

  39. H. Arenhoevel andD. Drechsel:Phys. Rev. C,20, 1965 (1979).

    Article  Google Scholar 

  40. R. Nolte, A. Baumann, K. W. Rose andM. Schumacher:Phys. Lett. B,173, 388 (1986).

    Article  Google Scholar 

  41. J. I. Fujita andM. Ichimura: inMesons in Nuclei, edited byM. Rho andD. H. Wilkinson (North-Holland, Amsterdam, 1979), Chapt. 15 and references therein;E. Lipparini, S. Stringari and M. Traini:Nucl. Phys. A,293, 29 (1977).

    Google Scholar 

Download references

Author information

Author notes

  1. M. Traini

    Present address: Service de Physique Nucléaire, Haute Energie, C.E.N. Saclay, F-91191, Gif-sur-Yvette Cedex, France

Authors and Affiliations

  1. Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Trento, Italia

    G. Orlandini & R. Leonardi

  2. Dipartimento di Fisica dell’Università degli Studi di Trento, I-38050, Povo (TN), Italia

    G. Orlandini & R. Leonardi

Authors
  1. M. Traini
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. Orlandini
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. R. Leonardi
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This work has been partially supported by Ministero della Pubblica Istruzione.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Traini, M., Orlandini, G. & Leonardi, R. A study of the Thomas-Reiche-Kuhn sum rule in finite nuclei. Riv. Nuovo Cim. 10, 1–18 (1987). https://doi.org/10.1007/BF02770635

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02770635

Search

Navigation