Q^2 Evolution of Generalized Baldin Sum Rule for the Proton

Abstract

The generalized Baldin sum rule for virtual photon scattering, the unpolarized analogy of the generalized Gerasimov-Drell-Hearn integral, provides an important way to investigate the transition between perturbative QCD and hadronic descriptions of nucleon structure. This sum rule requires integration of the nucleon structure function F_1, which until recently had not been measured at low Q^2 and large x, i.e. in the nucleon resonance region. This work uses new data from inclusive electron-proton scattering in the resonance region obtained at Jefferson Lab, in combination with SLAC deep inelastic scattering data, to present first precision measurements of the generalized Baldin integral for the proton in the Q^2 range of 0.3 to 4.0 GeV^2.

4 pages, 3 figures, one table; text added, one figure replaced

References in corpus (11)

• A unitary isobar model for pion photo- and electroproduction on the proton up to 1 GeV
• Measurement of the proton and deuteron structure functions, F2p and F2d, and of the ratio sigma(L)/sigma(T)
• Dispersion relations in real and virtual Compton scattering
• Measurements of electron-proton elastic cross sections for $0.4<Q^2<5.5(GeV/c{)}^2$
• Quark-hadron duality in electron scattering
• Quark-Hadron Duality in Electron Scattering
• Measurements of R=sigma_L/sigma_T for 0.03<x<0.1 and Fit to World Data
• The GDH Sum Rule and Related Integrals
• The first determination of Generalized Polarizabilities of the proton by a Virtual Compton Scattering experiment
• A new evaluation of the Baldin sum rule
• Moments of the Proton F2 Structure Function at Low Q2

Cited by in corpus (10)

• Nucleon Polarizabilities: from Compton Scattering to Hydrogen Atom
• Forward virtual Compton scattering and the Lamb shift in chiral perturbation theory
• Gold-plated moments of nucleon structure functions in baryon chiral perturbation theory
• Dispersion Theory in Electromagnetic Interactions
• Sum rules across the unpolarized Compton processes involving generalized polarizabilities and moments of nucleon structure functions
• Forward doubly-virtual Compton scattering off the nucleon in chiral perturbation theory: the subtraction function and moments of unpolarized structure functions
• Unpolarized structure functions at Jefferson Lab
• Q^2-evolution of the electric and magnetic polarizabilities of the proton
• Measurement of the Nucleon Structure Function F2 in the Nuclear Medium and Evaluation of its Moments
• Momentum transfer dependence of the proton's electric and magnetic polarizabilities