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Configuration-space Faddeev calculations for bound states of three identical particles using the tensor method

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Abstract

The three-body problem is solved at negative energies using the Faddeev-Noyes equations. The latter are reduced to a matrix equation by spline approximation and orthogonal collocation. This matrix equation is solved using a method that is based on the tensor structure of the matrices. High-accuracy results obtained with this method for systems of three identical particles are presented, for various values of the total angular momentum and for various potential strengths and shapes.

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References

  1. Schellingerhout, N. W., Kok, L. P., Bosveld, G. D.: Phys. Rev.A40, 5568 (1989)

    Google Scholar 

  2. Schellingerhout, N. W., Kok, L. P.: Nucl. Phys.A508, 299c (1990)

    Google Scholar 

  3. Bosveld, G. D., Schellingerhout, N. W.: Configuration-Space Faddeev Calculations (ITP Report 231). Groningen 1989 (unpublished). A second, enlarged, and updated edition of this report appeared in 1991

  4. Humberston, J. W., Hall, R. L., Osborn, T. A.: Phys. Lett.27B, 195 (1968)

    Google Scholar 

  5. Kok, L. P.: Trieste Internal Report IC/68/11. Trieste 1968 (8npublished)

  6. Efimov, V. N.: Phys. Lett.33B, 563 (1970); Sov. J. Nucl. Phys.12, 589 (1971)

    Google Scholar 

  7. Amado, R. N., Noble, J. V.: Phys. Lett.35B, 25 (1971); Phys. Rev.D5, 1992 (1972)

    Google Scholar 

  8. Stelbovics, A. T., Dodd, L. R.: Phys. Lett.39B, 450 (1970)

    Google Scholar 

  9. Antunes, A. C., Baltar, V. R., Ferreira, E. M.: Nucl. Phys.A265, 365 (1976)

    Google Scholar 

  10. Hall, R. L., Post, H. R.: Proc. Phys. Soc.90, 381 (1967)

    Google Scholar 

  11. See, for example, Payne, G. L.: In: Models and Methods in Few-Body Physics: Proceedings, Lisboa, Portugal, 1986 (Lecture Notes in Physics, Vol. 273) (Ferreira, L. S., Fonseca, A. C., Streit, L., eds.), p. 64. Berlin-Heidelberg-New York: Springer 1987

    Google Scholar 

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Authors and Affiliations

  1. Institute for Theoretical Physics, University of Groningen, P.O. Box 800, NL-9700 AV, Groningen, The Netherlands

    L. P. Kok & N. W. Schellingerhout

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  1. L. P. Kok
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  2. N. W. Schellingerhout
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Dedicated to Profs. Erich Schmid and Ivo Šlaus on the occasion of their 60th birthdays

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Kok, L.P., Schellingerhout, N.W. Configuration-space Faddeev calculations for bound states of three identical particles using the tensor method. Few-Body Systems 11, 99–109 (1991). https://doi.org/10.1007/BF01318555

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  • DOI: https://doi.org/10.1007/BF01318555

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