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Some properties of bound states in the three-body problem with separable potentials

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Abstract

A system of three identical bosons with the pair separable S-interaction is considered. The monotonic (Yamaguchi potential) and oscillating pair potentials for the three-alpha model of12C have been investigated. In the case of the Yamaguchi potential many excited states (second, third, etc.) have been found.

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References

  1. [1]

    Thomas L.: Phys. Rev.47 (1935), 903.

  2. [2]

    Harrington D. R.: Phys. Rev.147 (1966), 685.

  3. [3]

    Leung C. C. H., Park S. C.: Phys. Rev.187 (1969), 1239.

  4. [4]

    Tabakin F.: Phys. Rev.174 (1968), 174.

  5. [5]

    Leung C. C. H., Park S. C.: Phys. Rev.186 (1969), 1297.

  6. [6]

    Kukulin V. I., Neudatchin V. G.: Nucl. Phys.157 (1970), 609.

  7. [7]

    Martin A.: Nuovo Cimento7 (1958), 607.

  8. [8]

    Morse F. M., Feshbach G.: Methods of Theoretical Physics. New York 1953.

  9. [9]

    Osborn T. A.: Preprint SLAC-PUB-361, 1967.

  10. [10]

    Brayshaw D. D.: Phys. Rev.182 (1969), 1658.

  11. [10a]

    Aaron R., Amado R. D., Yam Y. Y.: Phys. Rev.136 (1964), B650.

  12. [13]

    Allesandrini V. A., Garcia Canal C. A.: Nucl. Phys.A133 (1969), 590.

  13. [13a]

    Saito S.: Progr. Theor. Phys.41 (1969), 705.

  14. [14]

    Neudatchin V. G., Kukulin V. I., Korotkich V. L., Korennoy V. P.: Phys. Letters34B (1971), 581.

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Additional information

The author is thankful to Prof. V. G. Neudatchin and Prof. Yu. F. Smirnov for valuable discussions on the problems concerned.

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Kukulin, V.I. Some properties of bound states in the three-body problem with separable potentials. Czech J Phys 21, 923–929 (1971). https://doi.org/10.1007/BF01706487

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Keywords

  • Excited State
  • Pair Potential
  • Separable Potential
  • Identical Boson
  • Yamaguchi Potential