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Three-Body Calculations at Los Alamos

  • J. L. Friar
Part of the Few-Body Systems book series (FEWBODY, volume 1)

Abstract

Approximately seven years ago the Los Alamos-Iowa collaboration[1] began its program of investigating the trinucleon systems by solving the Faddeev equations in configuration space. This work was motivated by four goals: (1) By working in configuration space, where intuition is greatest, investigate graphically those trinucleon properties which are determined by specific features of wave functions; (2) Produce benchmark calculations against which new techniques and numerical methods can be measured; (3) Investigate the effect of the Coulomb interaction between the two protons in 3He and in the p-d system; (4) Systematically investigate the various trinucleon observables. Configuration space is particularly well-suited for investigating the Coulomb problem. The singularity and discontinuity problems associated with the Coulomb (momentum space) tmatrix are transformed into boundary condition problems in configuration space. One simply adds the Coulomb potential to the strong interaction. In order to produce accurate numerical solutions powerful techniques were adopted which have not frequently been used in nuclear physics. These spline methods together with collocation techniques combine the power of Gaussian quadrature procedures with the flexibility and strength of finite element approaches to solving partial differential equations. Further details are given by G. L. Payne in his contribution to this workshop[2]. The union of these methods allows one to calculate wavefunctions at the same qualitative level of accuracy as the eigenvalues. Observables can therefore be calculated with considerable confidence.

Keywords

Configuration Space Faddeev Equation Impulse Approximation Tensor Force Charge Form Factor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Payne, G. L., Friar, J. L., Gibson, B. F., Afnan, I. R., Phys. Rev. C22, 823 (1980).ADSGoogle Scholar
  2. 2.
    Payne, G. L., contribution to this workshop.Google Scholar
  3. 3.
    Faddeev, L. D., Zh. Eksp. Teor. Fiz. 39, 1429 (1960).Google Scholar
  4. 4.
    Chen, C. R., Payne, G. L., Friar, J. L., Gibson, B. F., Phys. Rev. C31, 2266 (1985)ADSGoogle Scholar
  5. 5.
    Reid, R. J. Jr., Ann. Phys. (N.Y) 50, 411 (1968).ADSCrossRefGoogle Scholar
  6. 6.
    Wiringa, R. B., Smith, R. A., Ainsworth, T. A., Phys. Rev. C29, 1207 (1984).ADSGoogle Scholar
  7. 7.
    deTourreil, R., Sprung, D. W. L., Nucl. Phys. A201, 193 (1973).CrossRefGoogle Scholar
  8. 8.
    Delves, L. M., in “Few Body Problems, Light Nuclei, and Nuclear Interactions”, G. Paic and I. Slaus, eds., (Gordon and Breach, N.Y., 1968 ), p. 153.Google Scholar
  9. 9.
    Sauer, P. U., in “Proceedings of the International Symposium on the Three-Body Force in the Three-Body System”, ( Springer, Berlin, 1986 ).Google Scholar
  10. 10.
    Sasakawa, T., in Proceedings of “Eleventh International Conference on Few Body Systems in Particle and Nuclear Physics”, Tokyo-Sendai (1986).Google Scholar
  11. 11.
    Machleidt, R., Holinde, K., Elster, Ch., Phys. Rep. (to appear).Google Scholar
  12. 12.
    Klages, H., in Proceedings of “Eleventh International Conference on Few Body Systems in Particle and Nuclear Physics”, Tokyo-Sendai (1986).Google Scholar
  13. 13.
    Pickar, M. A., Sick, I., private communications.Google Scholar
  14. 14.
    Friar, J. L., Gibson, B. F., Payne, G. L., Ann. Rev. Nucl. Part. Sci. 34, 403 (1984).ADSCrossRefGoogle Scholar
  15. 15.
    Axilrod, B. M., Teller, E., J. Chem. Phys. 11, 299 (1943).ADSCrossRefGoogle Scholar
  16. 16.
    Friar, J. L., Coon, S. A., Phys. Rev. C34 [to appear].Google Scholar
  17. 17.
    Coon, S. A., et al.,Nucl. Phys. A317, 242 (1979).ADSGoogle Scholar
  18. 18.
    Coelho, H. T., Das, T. K., Robilotta, M. R., Phys. Rev. C28, 1812 (1983).ADSGoogle Scholar
  19. 19.
    Carlson, J., Pandharipande, V. R., Wiringa, R. B., Nucl. Phys. A401, 59 (1983).CrossRefGoogle Scholar
  20. 20.
    Hajduk, C., Sauer, P. U., Streuve, W., Nucl. Phys. A405, 581 (1983).CrossRefGoogle Scholar
  21. 21.
    Chen, C. R., Payne, G. L., Friar, J. L., Gibson, B. F., Phys. Rev. C33, 1740 (1986).ADSGoogle Scholar
  22. 22.
    Friar, J. L., Gibson, B. F., Chen, C. R., Payne, G. L., Phys. Lett. 161B, 241 (1985).Google Scholar
  23. 23.
    Juster, F.-P., et al.,Phys. Rev. Lett. 55, 2261 (1985);CrossRefGoogle Scholar
  24. Frois, B., and Martino, J., private communication.Google Scholar
  25. 24.
    Beck, D., private communication.Google Scholar
  26. 25.
    Friar, J. L., Gibson, B. F., Payne, G. L., Chen, C. R., Phys. Rev. C (to appear).Google Scholar
  27. 26.
    Sick, I., Lecture Notes in Physics 87, 236 ( Springer, Berlin, 1978 ).Google Scholar
  28. 27.
    Friar, J. L., Ann. Phys. (N.Y.) 104, 380 (1977).ADSCrossRefGoogle Scholar
  29. 28.
    Phillips, A. C., Rep. Prog. Phys. 40, 905 (1977).ADSCrossRefGoogle Scholar
  30. 29.
    Chen, C. R., Payne, G. L., Friar, J. L., Gibson, B. F., Phys.Rev. C 33, 401 (1986).ADSCrossRefGoogle Scholar
  31. 30.
    Chandler, C., in Proceedings of “Eleventh International Conference on Few Body Systems in Particle and Nuclear Physics”, Tokyo-Sendai, (1986).Google Scholar

Copyright information

© Springer-Verlag/Wien 1986

Authors and Affiliations

  • J. L. Friar
    • 1
  1. 1.Theoretical DivisionLos Alamos National LaboratoryLos AlamosUSA

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