Pion-nucleon bremsstrahlung andΔelectromagnetic moments
Citations Over TimeTop 10% of 1987 papers
Abstract
A dynamically consistent, gauge invariant model for \ensuremath{\pi}N bremsstrahlung is developed. The \ensuremath{\pi}N dynamics are described through an isobar model fit to the experimental phase shifts. The charge and current operators are constructed in a gauge invariant fashion and include contributions from interaction currents at the \ensuremath{\pi}N\ensuremath{\Delta} vertices and from the bare \ensuremath{\Delta} electromagnetic moments. The meaning of such moments for an unstable particle is discussed in detail. From a fit to the ${\ensuremath{\pi}}^{+}$p bremsstrahlung data, we extract a dipole moment for the bare ${\ensuremath{\Delta}}^{++}$ in the range /${\mathrm{\ensuremath{\mu}}}_{\mathrm{p}\mathrm{\ensuremath{\approxeq}}2.5}$ to 3.5; if the contributions from internal pion and nucleon currents are included, this ratio is somewhat smaller. The ${\ensuremath{\pi}}^{\mathrm{\ensuremath{-}}}$p bremsstrahlung data are consistent , including =0. The \ensuremath{\Delta} quadrupole moment cannot be extracted meaningfully from the data. We discuss the sensitivity of the extracted values of ${\ensuremath{\mu}}_{\ensuremath{\Delta}}$ to the off-shell extension of the \ensuremath{\pi}N scattering amplitude. The polarization asymmetry is found to be sensitive to ${\ensuremath{\mu}}_{\ensuremath{\Delta}}$ while being less sensitive to off-shell scattering.
Related Papers
- → High energy limit of atomic bremsstrahlung(1995)11 cited
- → Thick target total bremsstrahlung spectra of lead compounds in the photon energy region 1–10 keV by 90Sr beta particles(2017)2 cited
- → Pion production by polarized beams of nucleons(1954)18 cited
- RESONANT PION-NUCLEON INTERACTION AND PRODUCTION OF PIONS BY NUCLEONS(1957)
- → Effects of target thickness on the shape of the bremsstrahlung energy spectrum of Pb in the photon energy region of 1–100 keV(2021)