Muon Capture in Deuterium

Details Muon Capture in Deuterium Muon Capture in Deuterium

2009-12-10

arxiv.org/abs/0912.1989v3

Physics

Nuclear Physics

Nuclear Theory

35 pages, version published in Nucl. Phys. A 837 (2010) 110-144

Scientific paper

10.1016/j.nuclphysa.2010.02.009

Model dependence of the capture rates of the negative muon capture in deuterium is studied starting from potential models and the weak two-body meson exchange currents constructed in the tree approximation and also from an effective field theory. The tree one-boson exchange currents are derived from the hard pion chiral Lagrangians of the $N \Delta \pi \rho \omega a_1$ system. If constructed in conjunction with the one-boson exchange potentials, the capture rates can be calculated consistently. On the other hand, the effective field theory currents, constructed within the heavy baryon chiral perturbation theory, contain a low energy constant $\hat d ^R$ that cannot be extracted from data at the one-particle level nor determined from the first principles. Comparative analysis of the results for the doublet transition rate allows us to extract the constant $\hat d ^R$.

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