Angular photon-electron correlations induced by the weak interaction of neutral currents in light muonic atoms

Abstract

The weak interaction of neutral currents of the negative muon and a nucleus leads to observableP-odd correlations in the one-photon 2s → 1s transition of light muonic atoms. Recently the author has been analyzed how these correlations are affected by the mixing of the 2p1/2 and 2p3/2 orbits induced by the hyperfine muonnucleus interaction.P-odd terms in an angular distribution and circular polarization of photons have been considered as an example. The above mixing proved to be significant in muonic beryllium and boron. The present work continues this analysis. The effect of the mixing onP-odd terms of angular correlations between momenta of the photon radiated in the 2s → 1s transition and a hard electron emitted in the μ-decay at the 1s orbit is studied here. This effect is found to be also significant. Moreover, the possibility of using the magnetic spin rotation to observe the angular correlations is discussed. A special experimental geometry is suggested. Its use allows uncertainties resulting from the absence of data on the orientation of the angular μ-atom momentum in the 2s state to be minimized.