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Cottingham formula for the electromagnetic self-energy contribution to M_p - M_n
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We provide an update of the determination of the electromagnetic self-energy contribution to M_p - M_n based upon Cottingham's Formula. A technical oversight in the literature is uncovered: the application of the Cottingham Formula requires the use of a subtracted dispersion integral; an argument to evade the subtraction function was presented; the argument was based on false assumptions about the scaling violations of the parton model, a point first mentioned by J. C. Collins. We elucidate this point and utilize low-energy effective theory to relate the unknown subtraction function to the nucleon isovector magnetic polarizability. This allows us to provide the first reliable determination of dM = 1.30(03)(47) MeV [1].
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Cited by 1 Pith paper
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On the Cottingham formula and the electromagnetic contribution to the proton-neutron mass splitting
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.
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