Second-sound attenuation by a quantized vortex in liquid helium II

The dispersion relation, the excess attenuation, and the attenuation coefficient B of the second sound damped by a quantized vortex are calculated in a rotating reference frame. With the centrifugal force included in the superfluid equations of motion, we confirm that the dispersion and the attenuation of the second sound in a rotating frame are equal to Lee, Um, Chang, and Choi's results in a resting frame. We conclude that in the hydrodynamic region (1.2 K < T < 1.9 K) the excess attenuation due to the quantized vortex predominantly originates from the centrifugal force arising from the vortical velocity field.