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When liquid 3He is impregnated into silica aerogel a solid-like layer of 3Heatoms coats the silica structure. The surface 3He is in fast exchange with theliquid on NMR timescales. The exchange coupling of liquid 3He quasiparticleswith the localized 3He spins modifies the scattering of 3He quasiparticles bythe aerogel structure. In a magnetic field the polarization of the solid spinsgives rise to a splitting of the scattering cross-section of for `up' vs.`down' spin quasiparticles, relative to the polarization of the solid 3He. Wediscuss this effect, as well as the effects of non-magnetic scattering, in thecontext of a possible splitting of the superfluid transition for$\uparrow\uparrow$ vs. $\downarrow\downarrow$ Cooper pairs for superfluid 3Hein aerogel, analogous to the A_1-A_2 splitting in bulk 3He. Comparison with theexisting measurements of T_c for B< 5 kG, which show no evidence of an A_1-A_2splitting, suggests a liquid-solid exchange coupling of order J = 0.1 mK.Measurements at higher fields, B > 20 kG, should saturate the polarization ofthe solid 3He and reveal the A_1-A_2 splitting.Comment: 7 pages, 3 figure

physical review. b, condensed matter

Impurity effects on the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mo>−</mml:mo><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>splitting of superfluid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml…

Impurity effects on theA1−A2splitting of superfluid