Absolute bounds on pion-pion amplitudes in the physical region and threshold behavior

Gangal, Anil D. ; Roy, S. M. (1980) Absolute bounds on pion-pion amplitudes in the physical region and threshold behavior Physics Letters B, 95 (3-4). pp. 443-446. ISSN 0370-2693

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/037026...

Related URL: http://dx.doi.org/10.1016/0370-2693(80)90186-0

Abstract

We establish bounds in terms of pion mass alone, on the real part of the π0π0 amplitude F(s, t0), t0≥0, averaged over part of the physical region. E.g. (with −h=c=mπ=1 and F(4,0)=scattering length); −7.9≤½∫64ds Re F(s, 0)≤9.6; −55.6≤∫64 ds (s-4)(6-s) ReF(s, 1)≤72.5.

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