Nuclear rotational current and velocity fields, the cranking model, and transverse electroexcitation of the first excited state ofC12

We examine current and velocity fields of rotating deformed nuclei. Although the harmonic oscillator cranking model gives rigid moments of inertia, the velocity field is not a rigid rotation in the examples studied. Such fields are partially observable via electroexcitation, and we compare ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ to experiment. A slight improvement in experimental precision would allow different models to be distinguished.