Dispersion Analysis of the Strange Vector Form Factors of the Nucleon

Details Dispersion Analysis of the Strange Vector Form Factors of the Nucleon Dispersion Analysis of the Strange Vector Form Factors of the Nucleon

1996-07-28

arxiv.org/abs/hep-ph/9607452v1

Phys.Rev.C56:510-525,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

41 pages, RevTeX file and 4 postscript figures

Scientific paper

10.1103/PhysRevC.56.510

We analyze the nucleon matrix element of the strange quark vector current in a nucleon--model independent dispersive approach with input from the current world data set for the isoscalar electromagnetic form factors. The update of Jaffe's minimal 3-pole ansatz for the spectral functions yields a 40% larger (Sachs) strangeness radius, $(r_s^2)_{Sachs} = 0.20 {\rm fm}^2$, and a by 20% reduced magnitude of the strangeness magnetic moment, $\mu_s = -0.26$. In the pole approximation these values are shown to be upper bounds. After extending the ansatz in order to implement the asymptotic QCD momentum dependence (which the 3-pole form factors cannot reproduce), we find the magnitude of the 3-pole results reduced by up to a factor of 2.5. The signs of the leading moments originate primarily from the large $\phi$-meson couplings and are generic in the pole approximation.

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