QCD Inequalities, Large $N_C$ and $ππ$ Scattering Lengths

dc.creatorNussinov, S.
dc.date2000-10-26
dc.date.accessioned2026-07-07T04:10:49Z
dc.date.available2026-07-07T04:10:49Z
dc.descriptionIn this short note we show that (I) in a QCD-like theory with four (rather than two) degenerate flavors $ud u'd'$, the $ππ'$ scattering length is positive (attractive); and (II) in QCD with only two (u,d) degenerate flavors the I=2 (say, $π^+π^+$ hadronic) scattering length is, in the large $N_C$ limit, repulsive. $π(π')$ are the lowest physical states coupling to $J^p = \bar{u}(x)γ_5d(x)$ and $J^{p'} = \bar{u}'(x)γ_5d'(x),$ respectively.
dc.description8 pages, latex with one postscript figure
dc.identifierhttps://arxiv.org/abs/hep-th/0010250
dc.identifierhttp://arxiv.org/abs/hep-th/0010250
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50347
dc.subjectHigh Energy Physics - Theory
dc.titleQCD Inequalities, Large $N_C$ and $ππ$ Scattering Lengths
dc.typetext

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