2006
DOI: 10.1016/j.physletb.2005.12.053
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Novel evaluation of the two-pion contribution to the nucleon isovector form factors

Abstract: We calculate the two-pion continuum contribution to the nucleon isovector spectral functions drawing upon the new high statistics measurements of the pion form factor by the CMD-2, KLOE, and SND collaborations. The general structure of the spectral functions remains unchanged, but the magnitude increases by about 10%. Using the updated spectral functions, we calculate the contribution of the two-pion continuum to the nucleon isovector form factors and radii. We compare the isovector radii with simple ρ-pole mo… Show more

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Cited by 39 publications
(59 citation statements)
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“…In Ref. [Bel07], the 2π continuum was reevaluated using the latest experimental data for the pion FFs in the time-like region [Bel06]. The KK continuum was obtained from an analytic continuation of KN scattering data [Ham99].…”
Section: Dispersion Analysesmentioning
confidence: 99%
See 1 more Smart Citation
“…In Ref. [Bel07], the 2π continuum was reevaluated using the latest experimental data for the pion FFs in the time-like region [Bel06]. The KK continuum was obtained from an analytic continuation of KN scattering data [Ham99].…”
Section: Dispersion Analysesmentioning
confidence: 99%
“…It is interesting to compare this with the findings of the dispersion theory, in which the longest range part of the pion cloud contribution to the nucleon e.m. FFs is given by the 2π continuum. These 2π continuum contributions were found to be much more confined in coordinate space [Bel06]. In order to get a bump structure in G En in the DR theory requires to introduce additional strength in the spectral functions below 1 GeV.…”
Section: Radial Distributions and Shape Of The Nucleonmentioning
confidence: 99%
“…For that, however, one needs the information in the timelike region, which is also not accurate enough, and is usually complemented in a model-dependent fashion. Nonetheless, some of the state-of-the-art dispersion analyses [12,13] had obtained the smaller value of r Ep (well before the muonic hydrogen result appeared! ), which reinforces the motivation to include the pion-production effects in the interpolation of low-Q 2 data.…”
Section: Introductionmentioning
confidence: 99%
“…The parametrization of the spectral functions includes constraints from unitarity, pQCD, and recent measurements of the neutron charge radius. Belushkin et al [34] updated the analysis by including contributions from the ρπ and KK isoscalar continua as independent inputs, in addition to the 2π continuum. The 2π continuum is evaluated using the latest experimental data for the pion time-like form factor [34].…”
Section: Vector Menson Dominance (Vmd) Modelmentioning
confidence: 99%
“…Belushkin et al [34] updated the analysis by including contributions from the ρπ and KK isoscalar continua as independent inputs, in addition to the 2π continuum. The 2π continuum is evaluated using the latest experimental data for the pion time-like form factor [34]. The KK continuum is obtained from an analytic continuation of KN scattering data [111].…”
Section: Vector Menson Dominance (Vmd) Modelmentioning
confidence: 99%