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Electromagnetic Contribution to the Proton-Neutron Mass Splitting

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arxiv 1406.4579 v1 pith:CHZAEOJS submitted 2014-06-18 nucl-th hep-lathep-ph

Electromagnetic Contribution to the Proton-Neutron Mass Splitting

classification nucl-th hep-lathep-ph
keywords masscontributionelectromagneticmathrmphysicalpionproton-neutronresult
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the electromagnetic contribution to the proton-neutron mass splitting by combining lattice simulations and the modified Cottingham sum rule of Walker-Loud, Carlson and Miller. This analysis yields an estimate of the isovector nucleon magnetic polarizability as a function of pion mass. The physical value, obtained by chiral extrapolation to the physical pion mass, is $\beta_{p-n}=(-1.12 \pm 0.40)\times 10^{-4}\ \mathrm{fm}^3$, which is in agreement with the empirical result, albeit with a somewhat smaller error. As a result, we find $\delta M^{\gamma}_{p-n}=1.04 \pm 0.11\ \mathrm{MeV}$, which represents a significant improvement in precision.

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Cited by 3 Pith papers

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  3. On the Cottingham formula and the electromagnetic contribution to the proton-neutron mass splitting

    nucl-th 2019-07 unverdicted novelty 2.0

    The paper reviews the Cottingham formula, its renormalization issues, and two models for the required subtraction function to estimate the electromagnetic part of the proton-neutron mass splitting.