Abstract
We calculate the electromagnetic form factors of the nucleon within the light-cone sum rule approach. In comparison to previous work [Phys. Rev. D 65 (2002) 074011] we suggest to use a pure isospin-1/2 interpolating field for the nucleon, since the Chernyak–Zhitnitsky current leads to numerically large, unphysical, isospin violating contributions. The leading-order sum rules are derived for the form factors and the results are confronted with the experimental data. Our approach tends to favor the nucleon distribution amplitudes that are not far from the asymptotic shape.
Highlights
We calculate the electromagnetic form factors of the nucleon within the light-cone sum rule approach
The matrix element of the electromagnetic current (jμem(x) = euu(x)γμu(x) + ed d(x)γμd(x)) taken between two nucleon states is conventionally written in terms of the Dirac and Pauli form factors F1(Q2) and F2(Q2), respectively
Where Pμ is the four-momentum in the initial nucleon state, m is the nucleon mass, P 2 = (P − q)2 = m2, qμ is the photon momentum, Q2
Summary
We calculate the electromagnetic form factors of the nucleon within the light-cone sum rule approach. The method of light-cone sum rules (LCSR) [19] suggests itself since it incorporates both the perturbative and nonperturbative end-point contributions and allows to calculate the form factors as a systematic expansion in terms of nucleon distribution functions of increasing twist [20,21,22].
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