Insensitivity of the Scattering Matrix
Abstract
It is conjectured that the S matrix, expressed in terms of rigorous oneparticle states, is insensitive to a substitution for the rigorous oneparticle states of any approximate state which, by adiabatic switchingon of the interaction, is carried into a rigorous oneparticle state. This conjecture, first suggested by the fact that the usual form of the S matrix contains bareparticle states, is supported by the proof that the Smatrix element between one bare and one "real" particle (e.g., bare meson and real nucleon, bare nucleon and real meson, one bare and one real nucleon) is exactly correct. The equivalence of our Smatrix element with Low's form of the Smatrix element for nucleonmeson scattering is one of the above cases. It is pointed out that great simplifications in calculations could be secured if the conjecture were verified.
 Publication:

Physical Review
 Pub Date:
 October 1956
 DOI:
 10.1103/PhysRev.104.259
 Bibcode:
 1956PhRv..104..259E