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On the proton radius problem

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arxiv 1311.0319 v1 pith:DCW5NTX6 submitted 2013-11-01 hep-ph nucl-th

On the proton radius problem

classification hep-ph nucl-th
keywords chargedifferentprotonradiusdataelectronframeslaser
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The recent values of the proton charge radius obtained by means of muonic-hydrogen laser spectroscopy are about $4\%$ different from the electron scattering data. It has been suggested that the proton radius is actually measured in different frames and that, starting from a non relativistic quark model calculation, the Lorentz transformation of the form factors accounts properly for the discepancy. We shall show that the relation between the charge radii measured in different frames can be determined on very general grounds by taking into account the Lorentz transformation of the charge density. In this way, the discrepancy between muonic-hydrogen laser spectroscopy and electron scattering data can be removed.

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