On a "Robust" A-like State of $^3He$ in Aerogel

Abstract

The orbitally isotropic Equal Spin Pairing (ESP) state has been proposed in Ref. [1] as a candidate of an A-like phase of superfluid $^3He$ in aerogel environment. In order to preserve an exact isotropy of the state in the presence of the magnetic field the condensate with equal values of the amplitudes $Δ_{\uparrow\uparrow}$ and $Δ_{\downarrow\downarrow}$ was adopted. Experimentally it is established that this version does not reproduce observed splitting asymmetry of ESP phase in aerogel under the action of an external magnetic field. Here we explore the behavior of the quasi-isotropic version of an axiplanar ESP phase with $Δ_{\uparrow\uparrow}\neq Δ_{\downarrow\downarrow}$ and show that for this state the splitting asymmetry ratio could be reconciled with experimental observations.