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Trilocal structures. IV. momentum-dependent tree functions

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Abstract

Enlarging the set of tree functions to include those which depend on the momentum vector has the effect of introducing new families and subfamilies of functions. Four auxiliary conditions are used in the generation of these functions. These auxiliary conditions introduce, as eigenvalues, four parameters in terms of which the coefficients of the momentum-dependent functions can then be expressed as linear combinations of the 16 leading coefficients. These 16 are all rest-system coefficients. Thus the momentum-dependent part of the expansion is expressible in terms of the rest-system portion, using only these four parameters.

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References

  1. Clapp, R. E. (1961). “A Complete Orthogonal Expansion for the Nuclear Three-Body Problem. Part I. Rotational Functions,”Annals of Physics,13, 187–236.

  2. Clapp, R. E., Mack, E. W., Simons, F., and Wolf, J. A., Jr. (1980). “Trilocal Structures. I. Secular Equation,”International Journal of Theoretical Physics,19, 89–98.

  3. Clapp, R. E., Mack, E. W., Simons, F., and Wolf, J. A., Jr. (1979). “Trilocal Structures. II. Expansion,”International Journal of Theoretical Physics,18, 23–40.

  4. Clapp, R. E., Mack, E. W., Simons, F., and Wolf, J. A., Jr. (1981). “Trilocal Structures. III. Expansion in Tree Functions,”International Journal of Theoretical Physics,20, 121–146.

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Clapp, R.E., Mack, E.W., Simons, F. et al. Trilocal structures. IV. momentum-dependent tree functions. Int J Theor Phys 20, 519–562 (1981). https://doi.org/10.1007/BF00669438

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Keywords

  • Field Theory
  • Linear Combination
  • Elementary Particle
  • Quantum Field Theory
  • Momentum Vector