Spin susceptibility of superfluid 3 He-B film with specular surfaces is calculated on the basis of the self consistent order parameter. It is shown that, when the magnetic field is applied in a direction perpendicular to the film, the suseptibility is significantly enhanced by the contribution from the surface bound states. No such enhancement is found for the magnetic field parallel to the film. A simplified model with spatially constant order parameter is used to elucidate the magnetic properties of the surface bound states. The Majorana nature of the zero energy bound state is also mentioned.

We measured the transverse acoustic impedance of superfluid 3He-B with a wall coated by several layers of 4He. The coating is known to enhance the specularity in quasiparticle scattering by the wall. We found a new anomaly, a bump and a peak, in the temperature dependence of the transverse acoustic impedance. This agrees with a theoretical calculation using a partially specular wall boundary condition. The new anomaly is shown to arise from a change in the surface density of states by coating and the scattering of thermally occupied surface bound states to other states. The change is towards the density of states of Majorana cone in the specular limit.

We discuss on the surface bound states in superfluid 3 He and their observation by transverse acoustic impedance measurement from a theoretical view point. We use a quasi-classical Green's function theory with random S matrix model for treating rough surface effects. We show that the transverse impedance quite nicely reflects the density of states of the surface bound states.

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