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Validity of the semiclassical kinetic energy density functional for deformed nuclear shapes

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Zeitschrift für Physik A Atoms and Nuclei

Abstract

We investigate the semiclassical kinetic energy density functionalτ[ρ] for deformed nuclear shapes. Using Strutinsky-averaged quantities as reference, we demonstrate that the functionalτ[ρ] is able to reproduce the averaged kinetic energies very accurately, even at very large deformations.

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References

  1. Bohigas, O., Campi, X., Krivine, H., Treiner, J.: Phys. Lett. B64, 381 (1976)

    Google Scholar 

  2. Chu, Y.H., Jennings, B.K., Brack, M.: Phys. Lett. B68, 407 (1977)

    Google Scholar 

  3. Chu, Y.H.: Ph.D. Thesis, S.U.N.Y. Stony Brook (1977)

  4. Grammaticos, B.: Ann. Phys. (NY)126, 450 (1980)

    Google Scholar 

  5. Holzwarth, G., Eckart, G.: Nucl. Phys. A325, 1 (1979)

    Google Scholar 

  6. Eckart, G., Holzwarth, G.: preprint Siegen Si-79-8

  7. Krivine, H., Treiner, J., Bohigas, O.: Nucl. Phys. A336, 155 (1980)

    Google Scholar 

  8. Brack, M., Quentin, P.: Phys. Lett. B56, 421 (1975)

    Google Scholar 

  9. Vautherin, D., Brink, D.: Phys. Rev. C5, 626 (1972);

    Google Scholar 

  10. see also Quentin, P., Flocard, H.: Ann. Rev. Nucl. Part. Sci.28, 523 (1978)

    Google Scholar 

  11. Hohenberg, P., Kohn, W.: Phys. Rev. B136, 864 (1964)

    Google Scholar 

  12. Kirzhnits, D.A.: Field Theoretical Methods in Many-Body Systems. Oxford: Pergamon Press 1967

    Google Scholar 

  13. Hodges, C.H.: Can. J. Phys.51, 1428 (1973)

    Google Scholar 

  14. Jennings, B.K.: Ph.D. Thesis. McMaster (1976)

  15. Brack, M., Jennings, B.K., Chu, Y.H.: Phys. Lett B65, 1 (1976)

    Google Scholar 

  16. Lombard, R.: Ann. Phys. (N.Y.)77, 380 (1973)

    Google Scholar 

  17. Campi, X., Stringari, S.: Nucl. Phys. A337, 313 (1980)

    Google Scholar 

  18. Bhaduri, R.K., Ross, C.K.: Phys. Rev. Lett.27, 606 (1971)

    Google Scholar 

  19. Jennings, B.K., Bhaduri, R.K., Brack, M.: Nucl. Phys. A253, 29 (1975)

    Google Scholar 

  20. v. Weizsäcker, C.F.: Z. Physik96, 431 (1935)

    Google Scholar 

  21. Grammaticos, B., Voros, A.: Ann. Phys. (N.Y.)123, 359 (1979) and preprint Saclay DPh-T/79/199 (1979)

    Google Scholar 

  22. Guet, C., Bengtsson, R., Brack, M.: Physics and Chemistry of Fission 1979. Proceedings of International Symposium at Jülich (I.A.E.A. Vienna, in print; paper I.A.E.A.-SM-241/H3)

  23. Guet, C., Håkansson, H.-B., Brack, M.: Preprint 1980. Phys. Lett. (submitted for publication)

  24. Berg, R.A., Wilets, L.: Phys. Rev.101, 201 (1956)

    Google Scholar 

  25. Krivine, H., Treiner, J.: Phys. Lett. B88, 212 (1979)

    Google Scholar 

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

    Google Scholar 

  27. Brack, M., Pauli, H.C.: Nucl. Phys. A207, 401 (1973)

    Google Scholar 

  28. Brack, M., Damgaard, J., Jensen, A.S., Pauli, H.C., Strutinsky, V.M., Wong, C.Y.: Rev. Mod. Phys.44, 320 (1972)

    Article  Google Scholar 

  29. Moszkowski, S.A.: Phys. Rev. C2, 402 (1970)

    Google Scholar 

  30. Brack, M., Quentin, P.: Nucl. Phys. (submitted for publication)

  31. Mermin, N.D.: Phys. Rev. A137, 1441 (1965)

    Google Scholar 

  32. Jennings, B.K.: Preprint 1980. Phys. Lett. (submitted for publication)

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We are grateful to Drs. Ph. Quentin and B.K. Jennings for useful comments. One of us (C.G.) likes to thank Prof. W. Weise for the warm hospitality extended to him at the Institute of Theoretical Physics in Regensburg.

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Guet, C., Brack, M. Validity of the semiclassical kinetic energy density functional for deformed nuclear shapes. Z Physik A 297, 247–256 (1980). https://doi.org/10.1007/BF01892805

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  • DOI: https://doi.org/10.1007/BF01892805

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