Renormalization of the Cottingham formula

John C. Collins

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Abstract

The second-order electromagnetic contribution to the mass of a hadron needs an ultraviolet-divergent renormalization. An explicitly renormalized Cottingham formula is derived, and the renormalization is related to the counterterms obtained in perturbation theory. The main effect is to impose a cut-off Λ equal to the subtraction mass used in the renormalization. Within quantum chromodynamics it is shown that the Λ-dependence of the Cottingham formula for the neutron-proton mass difference is of the same magnitude as fourth-order electromagnetic corrections.

Original languageEnglish (US)
Pages (from-to)90-100
Number of pages11
JournalNuclear Physics, Section B
Volume149
Issue number1
DOIs
Publication statusPublished - Mar 12 1979

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All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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