Abstract
It is proved that a two-body reaction amplitude involving scalar particles and satisfying Mandelstam's representation is bounded by expressions of the form at the forward and backward angles, and at any other fixed angle in the physical region, being a constant, being the total squared c.m. energy. This corresponds to cross sections increasing at most like . These restrictions limit the freedom of choice of the subtraction terms to six arbitrary single spectral functions and one subtraction constant.
- Received 27 March 1961
DOI:https://doi.org/10.1103/PhysRev.123.1053
©1961 American Physical Society