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Nucleon in a periodic magnetic field

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arxiv 1610.05545 v3 pith:F75QT2PD submitted 2016-10-18 hep-lat hep-ph

classification hep-lathep-ph
keywords energyfieldshiftmagneticnucleonperiodicallowsamplitude
verification ladder T0 review T1 audit T2 compute T3 formal

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The energy shift of a nucleon in a static periodic magnetic field is evaluated at second order in the external field strength in perturbation theory. It is shown that the measurement of this energy shift on the lattice allows one to determine the unknown subtraction function in the forward doubly virtual Compton scattering amplitude. The limits of applicability of the obtained formula for the energy shift are discussed.

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  1. Multi-nucleon matrix elements on the lattice with the Feynman-Hellmann theorem

    hep-lat 2025-05 conditional novelty 6.0 of 10

    The first lattice extraction of the lowest F2 moment for a two-nucleon state gives M2 = 0.153 ± 0.019 at Q^2 = 4.66 GeV^2, consistent with the proton.

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