Gauge symmetric delta(1232) couplings and the radiative muon capture in hydrogen

Abstract

Using the difference between the gauge symmetric and standard pi-N-delta couplings, a contact pi-pi-N-N term, quadratic in the pi-N-delta coupling, is explicitly constructed. Besides, a contribution from the delta excitation mechanism to the photon spectrum for the radiative muon capture in hydrogen is derived from the gauge symmetric pi-N-delta and gamma-N-delta couplings. It is shown for the photon spectrum, studied recently experimentally, that the new spectrum is for the photon momentums k > 60 MeV by 4-10 % smaller than the one obtained from standardly used couplings with the on-shell deltas.

arXiv comment9 pages, 3 figures

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Cited by in corpus (3)

• Ordinary muon capture on a proton in manifestly Lorentz invariant baryon chiral perturbation theory
• Muon Capture in Deuterium
• Weak axial nuclear heavy meson exchange currents and interactions of solar neutrinos with deuterons