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Correlated hyperspherical-harmonic calculations for three- and four-body systems

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Il Nuovo Cimento A (1965-1970)

Summary

Two different correlated hyperspherical-harmonic expansions are applied to solve the Schrödinger equation for systems withA=3,4 nucleons interacting via central state-dependent potentials. Accurate results are obtained for the ground state of the systems and they are presented for a number of interparticle potentials. Correlations not included in the potential basis have negligible effects forA=3 but they give important contributions to the structure of larger systems.

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References

  1. S. Rosati, M. Viviani andA. Kievsky:Few-Body Syst.,9, 1 (1990).

    Article  ADS  Google Scholar 

  2. A. Kievsky, M. Viviani andS. Rosati: inCondensed Matter Theories, edited byS. Fantoni andS. Rosati (Plenum, New York, N.Y., 1991), p. 391.

    Chapter  Google Scholar 

  3. M. Fabre de la Ripelle:Ann. Phys. (N.Y.),147, 281 (1983).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. G. Erens, J. L. Visschers andR. van Wageningen:Ann. Phys. (N.Y.),67, 461 (1971).

    Article  ADS  Google Scholar 

  5. M. Fabre de la Ripelle, H. Fiedeldey andS. A. Sofianos:Phys. Rev. C,38, 449 (1988).

    Article  ADS  Google Scholar 

  6. W. Oehm, S. A. Sofianos, H. Fiedeldey andM. Fabre de la Ripelle:Phys. Rev. C,42, 2322 (1990).

    Article  ADS  Google Scholar 

  7. W. Oehm, S. A. Sofianos, H. Fiedeldey andM. Fabre de la Ripelle:Phys. Rev. C,43, 25 (1991).

    Article  ADS  Google Scholar 

  8. J. Raynal andJ. Revai:Nuovo Cimento A,68, 612 (1970).

    Article  MathSciNet  ADS  Google Scholar 

  9. R. I. Dzhibuti andN. I. Shubitidze:Sov. J. Nucl. Phys.,20, 357 (1975);R. J. Dzhibuti, N. B. Krupenikova andL. L. Sarkisyan:Few-Body Syst.,4, 151 (1983).

    MathSciNet  Google Scholar 

  10. J. L. Ballot andM. Fabre de la Ripelle:Ann. Phys. (N.Y.),127, 62 (1980)

    Article  ADS  Google Scholar 

  11. G. L. Payne, J. L. Friar, B. F. Gibson andI. R. Afnan:Phys. Rev. C,22, 823 (1980);J. L. Friar, B. F. Gibson andG. Payne:Phys. Rev. C,24, 2279 (1981).

    Article  ADS  Google Scholar 

  12. R. A. Malfliet andJ. A. Tjon:Nucl. Phys. A,217, 1622 (1969).

    Google Scholar 

  13. L. R. Afnan andY. C. Tang:Phys. Rev. A,175, 1337 (1968).

    Article  ADS  Google Scholar 

  14. J. L. Ballot:Few-Body Syst. Suppl.,1, 140 (1986).

    Article  Google Scholar 

  15. N. W. Schellingerhout andL. P. Kok:Nucl. Phys. A,508, 299c (1990).

    Google Scholar 

  16. R. F. Bishop, M. F. Flynn, M. C. Bosca, E. Buendia andR. Guardiola: inThe Nuclear Equation of State (Part A; Discovery of Nuclear Shock Waves and EOS), edited byW. Greiner (Plenum, New York, N.Y., 1990), p. 605;R. F. Bishop, E. Buendia, M. F. Flynn andR. Guardiola inCondensed Matter Theories, edited byS. Fantoni andS. Rosati (Plenum, New York, N.Y., 1991), p. 405.

    Google Scholar 

  17. H. Kameyama, M. Kamimura andY. Fukushima:Phys. Rev, C,40, 974 (1989).

    Article  ADS  Google Scholar 

  18. A. Kievsky, S. Rosati andM. Viviani:Nucl. Phys. A,501, 503 (1989).

    Article  ADS  Google Scholar 

  19. J. Carlson:Phys. Rev. C,36, 2026 (1987).

    Article  ADS  Google Scholar 

  20. L. Bracci, S. Rosati andM. Viviani: inPerspectives on Theoretical Nuclear Physics, edited byL. Bracci et al. (ETS Editrice, Pisa, 1987), p. 30.

    Google Scholar 

  21. C. B. Haselgrove:Math. Comp.,15, 323 (1961).

    Article  MathSciNet  MATH  Google Scholar 

  22. G. P. Lepage:J. Comp. Phys.,27, 192 (1987).

    Article  ADS  Google Scholar 

  23. K. E. Schmidt andV. R. Pandharipande:Phys. Rev. B,19, 2504 (1978);Q. N. Usmani, S. Fantoni andV. R. Pandharipande:Phys. Rev. B,26, 6123 (1982).

    Article  ADS  Google Scholar 

  24. J. Lomnitz-Adler, V. R. Pandharipande andR. A. Smith:Nucl. Phys. A,361, 399 (1981).

    Article  ADS  Google Scholar 

  25. V. R. Pandharipande, J. G. Zabolitzky, S. C. Pieper, R. B. Wiringa andU. Helmbrecht:Phys. Rev. Lett.,50, 1676 (1983).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. INFN, Sezione di Pisa, 56100, Pisa

    M. Viviani & A. Kievsky

  2. Dipartimento di Fisica, Università di Pisa, 56100, Pisa

    S. Rosati

Authors
  1. M. Viviani
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  2. A. Kievsky
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  3. S. Rosati
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Viviani, M., Kievsky, A. & Rosati, S. Correlated hyperspherical-harmonic calculations for three- and four-body systems. Nuov Cim A 105, 1473–1489 (1992). https://doi.org/10.1007/BF02731979

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  • DOI: https://doi.org/10.1007/BF02731979

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