Intercept of the Pomeranchuk Singularity
Abstract
For any unitary theory in which the average multiplicity grows slower than any small positive power of s, and in which the Reggetype asymptotic behaviors σ_{tot}(s)~s^{αP(0)1} and σ_{e1}(s)~s^{2αP(0)2} hold, modulo powers of ln(s) for both, I derive a simple, necessary and sufficient condition which guarantees that α_{P}(0)=1. The condition is _{n}σ_{n}<=Cσ_{e1}s^{ɛ} for arbitrarily small ɛ>0 and large enough s, where σ_{n} is the actual cross section for producing n hadrons in the final state, σ_{e1} is the total integrated elastic cross section, and C is independent of ɛ.
 Publication:

Physical Review Letters
 Pub Date:
 May 1973
 DOI:
 10.1103/PhysRevLett.30.1094
 Bibcode:
 1973PhRvL..30.1094K