Abstract

Our previous theory yielded for the Zeeman splitting of the imaginaryJ=1 collective mode in3He-B the result ω=2Δ+0.25ΩJ z (Ω is the effective Larmor frequency). In this paper we take into account the downward shift of the pair-breaking edge from 2Δ to 2Δ2−Ω (Δ2 and Δ1 are the longitudinal and transverse gap parameters). This leads to a complex Lande factor: the frequencies of theJ z =±1 components become ω=2Δ+0.39ΩJ z , and the linewidths Γ of these resonances become finite: Γ=0.18Ω. The coupling amplitudes of theJ z =±1 components to density are found to be proportional to gap distortion, (Δ1−Δ2/Δ∼(Ω/Δ)2. Our results for the ultrasonic attenuation due to theJ z =±1,J=1 modes are capable of explaining the field dependence of the attenuation close to the pair-breaking edge as observed by Dobbs, Saunders, et al. The observed peak is caused by theJ z =−1 component: its height increases due to gap distortion as the field is increased, and the peak shifts downward in temperature and its width increases with the field due to the complex Lande factor. TheJ z =+1 component gives rise to a corresponding dip relative to the continuum attenuation.

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