QCD Inequalities, Large $N_C$ and $\pi\pi$ Scattering Lengths
Abstract
In this short note we show that (I) in a QCDlike theory with four (rather than two) degenerate flavors $ud u'd'$, the $\pi\pi'$ scattering length is positive (attractive); and (II) in QCD with only two (u,d) degenerate flavors the I=2 (say, $\pi^+\pi^+$ hadronic) scattering length is, in the large $N_C$ limit, repulsive. $\pi(\pi')$ are the lowest physical states coupling to $J^p = \bar{u}(x)\gamma_5d(x)$ and $J^{p'} = \bar{u}'(x)\gamma_5d'(x),$ respectively.
 Publication:

arXiv eprints
 Pub Date:
 October 2000
 arXiv:
 arXiv:hepth/0010250
 Bibcode:
 2000hep.th...10250N
 Keywords:

 High Energy Physics  Theory
 EPrint:
 8 pages, latex with one postscript figure