Abstract
It is shown that a partially conserved axial-vector current () implies consistency conditions involving the strong interactions alone. The most interesting of these is a relation among the symmetric isotopic-spin pion-nucleon scattering amplitude , the pionic form factor of the nucleon , and the rationalized, renormalized pion-nucleon coupling constant : [ is the nucleon mass and the of the initial pion. The final pion is on mass shell; the energy and momentum transfer variables and are defined in the text. By using experimental pion-nucleon scattering data, we find that this relation is satisfied to within 10%. Consistency conditions involving the and the scattering amplitudes are stated.
- Received 15 September 1964
DOI:https://doi.org/10.1103/PhysRev.137.B1022
©1965 American Physical Society