The Pion Form Factor Within the Hidden Local Symmetry Model

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dc.creatorBenayoun, M.
dc.creatorDavid, P.
dc.creatorDelBuono, L.
dc.creatorLeruste, Ph.
dc.creatorO'Connell, H. B.
dc.date2003-01-10
dc.date.accessioned2026-07-07T11:10:55Z
dc.date.available2026-07-07T11:10:55Z
dc.descriptionWe analyze a pion form factor formulation which fulfills the Analyticity requirement within the Hidden Local Symmetry (HLS) Model. We show that it implies an $s$--dependent dressing of the $ρ-γ$ VMD coupling and an account of several coupled channels. The corresponding function $F_π(s)$ provides nice fits of the pion form factor data from $s=-0.25$ to $s=1$ GeV$^2$. It is shown that the coupling to $K \bar{K}$ has little effects, while $\omg π^0$ improves significantly the fit quality below the $ϕ$ mass. All parameters, except for the subtraction polynomial coefficients are fixed from the rest of the HLS phenomenology. The fits show consistency with the expected behaviour of $F_π(s)$ at $s=0$ up to ${\cal O} (s^2)$ and with the phase shift data on $δ_1^1(s)$ from threshold to somewhat above the $ϕ$ mass. The $\omg$ sector is also examined in relation with recent data from CMD--2.
dc.description26 pages, 4 eps figs
dc.identifierhttps://arxiv.org/abs/nucl-th/0301037
dc.identifierhttp://arxiv.org/abs/nucl-th/0301037
dc.identifierEur.Phys.J.C29:397-411,2003
dc.identifierdoi:10.1140/epjc/s2003-01234-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190923
dc.subjectNuclear Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.titleThe Pion Form Factor Within the Hidden Local Symmetry Model
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