Calculation of Doublet Capture Rate for Muon Capture in Deuterium within Chiral Effective Field Theory

Understand

The doublet capture rate of the negative muon capture in deuterium is calculated employing the nuclear wave functions generated from accurate nucleon-nucleon potentials constructed at next-to-next-to-next-to-leading order of heavy-baryon chiral perturbation theory and the weak meson exchange current operator derived within the same formalism.

• All but one of the low-energy constants that enter the calculation were fixed from pion-nucleon and nucleon-nucleon scattering data.
• The low-energy constant d^R (c_D), which cannot be determined from the purely two-nucleon data, was extracted recently from the triton beta-decay and the binding energies of the three-nucleon systems.
• The calculated values of the doublet capture rates show a rather large spread for the used values of the d^R.