Reduced S - Matrix Approach to Scattering Problems

  • C. Hategan
Part of the NATO ASI Series book series (NSSB, volume 321)


The approach of multichannel problems in terms of reduced or effective operators is frequently used both in Atomic and Nuclear Scattering Physics. Perhaps the most familiar example is the method of Coupled Channels. The system of coupled equations is truncated on computational reasons; the number of equations can be too large to be numerically processed. To compensate the eliminated reaction channels, the potential matrix is modified; the interaction potential has now additional terms which make it, an effective one. The formal basis for effective interaction potential is the Projector Method developed in Scattering Physics by Feshbach. The two projection operators are used to divide the set of scattering channels into two subsets:

{r} — the subset of retained channels, and {e} — the subset of eliminated channels. One obtains for the retained channels an effective hamiltonian; the original “bare” interaction is replaced by an effective one.


Reaction Channel Partial Width Shift Factor Logarithmic Derivative Channel Coupling 
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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • C. Hategan
    • 1
  1. 1.Institute of Atomic PhysicsBucharestRomania

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