Abstract
The consistency of the second-order Brueckner-Baranger approximation to the ground-state energyE of H3 and He4 nuclei is confirmed by the agreement ofE with the recent Faddeev and Faddeev-Yakubovsky equation results for Reid local potential, by the dependence ofE on different phase-equivalent transforms (= off-shell changes) of the Reid potential which agrees with Faddeev equation and nuclear matter calculations, and by the Coester line well reproduced for a set of realistic potentials in He4. The influence of approximations in solving Bethe-Goldstone equation is also discussed.
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References
Baranger M.,in Proc. Int. School of Phys. “Enrico Fermi” XL. (Ed. M. Jean and M. Ricci.) Academic Press 1969, New York, p. 511.
Kümmel H., Lührmann K. H., Zabolitzky J. G., Phys. Reports36C (1978), 1.
Sotona M., Nuovo Cimento17 (1973), 523; Czech. J. Phys. B24 (1974), 1308.
Kim Y. E., Harper E. P., Tubis A.,in Proc. Int. Conf. on Few particle problems in the nucl. int. (Ed. I. Slaus, S. A. Moszkowski, R. P. Haddock and W. T. H. van Oers). North Holland, Amsterdam 1972.
Tjon J. A., Phys. Rev. Lett.40 (1978), 1239.
Kumar K., Perturbation theory and the nuclear manybody problem, North Holland, Amsterdam 1962.
Afnan I. R., Clement D. M., Serduke F. J., Nucl. Phys. A170 (1971), 625–48.
Woodring J. W., MacKellar A. D., Tripathi R. K., Nucl. Phys. A228 (1974), 345;
Úlehla I., Czech. J. Phys. B24 (1974), 1322.
Blank J., Czech. J. Phys. B29 (1979), 597; 718.
Zabolitzky J. G., Phys. Rev. C14 (1976), 1207.
Sauer P. U., Nucl. Phys. A150 (1970), 467.
Znojil M., Phys. Rev. C18 (1978), 1078.
Kahana S., Lee H. C., Scott C. K., Phys. Rev.185 (1969), 1378.
Znojil M., J. Phys. A: Math. Gen.9 (1976), 1–10.
Znojil M., J. Math. Phys.18 (1977), 717.
Ryzhik I. M., Gradshteyn I. S., Tablicy sum, integralov i proizvedenii, Nauka, Moscow, 1971.
Haftel M., Tabakin F., Phys. Rev. C3 (1971), 921.
Gari M., Hebach H., Sommer B., Zabolitzky J. G., Phys. Rev. Lett.41 (1978), 1288.
Narodetskii I. M., Yad. Fizika (USSR)19 (1974), 552.
Mongan T. R., Phys. Rev.175 (1968), 1260.
Reid R. V., Ann. Phys. (NY)50 (1968), 411.
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On leave of absence fromthe Institute of Nuclear Physics, Czechosl. Acad. Sci., 250 68 Řež, Czechoslovakia.
My thanks for permanent inspiration and encouragement are to M. Sotona and M. Gmitro. I am also obliged to I. Lovas for valuable comments on the manuscript.
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Znojil, M. Comparison of Brueckner theory with “exact” results for H3 and He4 nuclei. Czech J Phys 30, 488–498 (1980). https://doi.org/10.1007/BF01596296
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DOI: https://doi.org/10.1007/BF01596296