Sum rule for a difference of proton and neutron total photoproduction cross-sections

Details Sum rule for a difference of proton and neutron total photoproduction cross-sections Sum rule for a difference of proton and neutron total photoproduction cross-sections

2003-03-23

arxiv.org/abs/hep-ph/0303194v3

Phys.Rev.D70:117901,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX2e, 7 pages, 1 eps figure (revised version)

Scientific paper

10.1103/PhysRevD.70.117901

Starting from very high energy inelastic electron-nucleon scattering with a production of a hadronic state $X$ to be moved closely to the direction of the initial nucleon, then utilizing analytic properties of parts of forward virtual Compton scattering amplitudes on proton and neutron, one obtains the relation between nucleon form factors and a difference of proton and neutron differential electroproduction cross-sections. In particular, for the case of small transferred momenta, one finally derives sum rule, relating Dirac proton mean square radius and anomalous magnetic moments of proton and neutron to the integral over a difference of the total proton and neutron photoproduction cross-sections.

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