Chiral Expansion Theory at Vector Meson Scale

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dc.creatorWang, Xiao-Jun
dc.creatorYan, Mu-Lin
dc.date2000-10-19
dc.date2000-12-04
dc.date.accessioned2026-07-07T03:43:01Z
dc.date.available2026-07-07T03:43:01Z
dc.descriptionWe study physics on $ρ(770)$ and $ω(782)$ in framework of chiral constituent quark model. The effective action is derived by proper vertex method, which can capture all order information of chiral expansion. The $N_c^{-1}$ expansion is also studied systematically. It is shown that the momentum expansion at vector meson energy scale converges slowly, and the loop effects of pseudoscalar meson play an important role at this energy scale. We provide a method to prove the unitarity of S-matrix in any low-energy effective theory of QCD. Phenomenologically, we study decays for $ρ\toππ$, $ρ\to e^+e^-$, $ω\toπ^+π^-$, $ρ^\pm\toγπ^\pm$ and $ω\toγπ^0$, $ρ^0-ω$ mixing and their mass splitting, pion form factor, $I=l=1$ phase shift and light quark masses at vector meson energy scale. These results include all order contribution of vector meson momentum expansion and is up to next to leading order of $N_c^{-1}$ expansion. All of these theoretical predictions agree with data very well. The unitarity of S-matrix yielded by this framework is examined. The Breit-Winger formula for resonance propagator is derived.
dc.descriptionrevtex file, 36 pages, 10 eps figures
dc.identifierhttps://arxiv.org/abs/hep-ph/0010215
dc.identifierhttp://arxiv.org/abs/hep-ph/0010215
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/40077
dc.subjectHigh Energy Physics - Phenomenology
dc.titleChiral Expansion Theory at Vector Meson Scale
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