Polarized photons in radiative muon capture

Details Polarized photons in radiative muon capture Polarized photons in radiative muon capture

2001-04-25

arxiv.org/abs/nucl-th/0104077v1

Phys.Rev. C65 (2002) 015502

Physics

Nuclear Physics

Nuclear Theory

10 pages, 6 figures

Scientific paper

10.1103/PhysRevC.65.015502

We discuss the measurement of polarized photons arising from radiative muon capture. The spectrum of left circularly polarized photons or equivalently the circular polarization of the photons emitted in radiative muon capture on hydrogen is quite sensitive to the strength of the induced pseudoscalar coupling constant $g_P$. A measurement of either of these quantities, although very difficult, might be sufficient to resolve the present puzzle resulting from the disagreement between the theoretical prediction for $g_P$ and the results of a recent experiment. This sensitivity results from the absence of left-handed radiation from the muon line and from the fact that the leading parts of the radiation from the hadronic lines, as determined from the chiral power counting rules of heavy-baryon chiral perturbation theory, all contain pion poles.

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