Determination of Magnetic Moments of Proton and Deuteron

We consider higher order corrections to the magnetic moment a bound proton in atomic hydrogen and deuterium and their consequences for determination of mu_p and mu_d. We also report on a measurement with medium-pressure hydrogen deuteride (HD) at 10 atm, which is to be compared with the previous measurement done at 100 atm. We confirm that the high pressure used in former experiments caused no systematic effects at a level of 10 ppb. We also reexamined a theoretical uncertainty related to screening effects in the HD molecule and found that previously it was underestimated