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Momentum transfer dependence of the proton’s electric and magnetic polarizabilities

N. L. Hall, A. W. Thomas, and R. D. Young

ARC Centre of Excellence for Particle Physics at the Terascale, and CSSM, School of Chemistry and Physics, University of Adelaide, Adelaide SA 5005, Australia

Phys. Rev. D 89, 117502 – Published 25 June, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.117502

Abstract

The $Q^{2}$ -dependence of the sum of the electric and magnetic polarizabilities of the proton is calculated over the range $0 \leq Q^{2} \leq 6 {GeV}^{2}$ using the generalized Baldin sum rule. Employing a parametrization of the $F_{1}$ structure function valid down to $Q^{2} = 0.06 {GeV}^{2}$ , the polarizabilities at the real photon point are found by extrapolating the results of finite $Q^{2}$ to $Q^{2} = 0 {GeV}^{2}$ . We determine the evolution over four-momentum transfer to be consistent with the Baldin sum rule using photoproduction data, obtaining $α + β = 13.7 \pm 0.7 \times 10^{- 4} {fm}^{3}$ .

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Momentum transfer dependence of the proton’s electric and magnetic polarizabilities

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