Addendum to the Theory of Ultrasonic Attenuation in Pure Two-Band Superconductors in High Fields

By modifying the sound-wave dispersion relation for a two-band superconductor, the ultrasonic attenuation coefficient for transverse waves in pure two-band superconductors near $H_{c2\mathrm{}}$ is obtained. An explicit expression for the attenuation is obtained by the use of an "unverified" conjecture used by the author previously to obtain the ultrasonic attenuation of longitudinal waves in pure superconducting niobium near $H_{c2\mathrm{}}$. It is then shown that the Brandt-Pesch-Tewordt method can be applied to pure two-band superconductors near $H_{c2\mathrm{}}$ to produce results which are in agreement with those obtained by the use of the unverified conjecture that the effect of the magnetic field on the two energy gaps in a pure two-band superconductor near $H_{c2\mathrm{}}$ is similar to that of an uniform current in both bands.