Asymptotic behavior and subtractions in the Mandelstam representation
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Abstract: (APS)
It is proved that a two-body reaction amplitude involving scalar particles and satisfying Mandelstam's representation is bounded by expressions of the form Csln2s at the forward and backward angles, and Cs34ln32s at any other fixed angle in the physical region, C being a constant, s being the total squared c.m. energy. This corresponds to cross sections increasing at most like ln2s. These restrictions limit the freedom of choice of the subtraction terms to six arbitrary single spectral functions and one subtraction constant.References(1)
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