Orbital Waves inHe3-Aat Zero Temperature

Abstract

At zero temperature, orbital waves propagate in ${}_{}{}^3{}_{}{}^{}\mathrm{He}$-$A$ with a dispersion relation $\omega =q_z{v}_{\mathrm{F}}$ in the regime $\frac{{T_c}^2}{E_{\mathrm{F}}}\ll \hslash \omega \ll T_c$; the damping is also studied. In the regime $\hslash \omega \ll \frac{{T_c}^2}{E_{\mathrm{F}}}$, undamped orbital waves propagate with the dispersion relation $\omega \sim \left(\frac{E_{\mathrm{F}}}{{T_c}^2}\right){\left(q_z{v}_{\mathrm{F}}\right)}^2\ln \left(\frac{T_c}{q_z{v}_{\mathrm{F}}}\right)$.