On the Magnetic Moment of the Deuteron

Abstract

An attempt is made to calculate the relativistic correction to the magnetic moment of the deuteron in order to determine the $D$ state probability from the accurately determined proton, deuteron, and neutron moments. It is found that the resulting corrections depend strongly on the transformation properties of the nuclear fields. If a scalar field is assumed the $D$ state probability is estimated at 4.8 percent, while for a vector field the corresponding estimate is 3.8 percent. The effect of a non-central tensor interaction is included in these estimates. It is concluded that the magnetic moment cannot be used for a precision determination of the amplitude of the $D$ function. The results also indicate that little can be said at this time concerning the question of the additivity of the intrinsic proton and neutron moments.