Abstract
An experiment using Helmholtz resonator techniques is proposed to measure the effects of confinement on the superfluid density in4He near the lambda point. Recent experimental and technological innovations afford the opportunity of dramatically improving previous measurements. We will exploit recent high resolution thermometry techniques which provide a resolution of the lambda point to within 10−9 K. In addition, the development of glass channel arrays with less than a one percent deviation throughout the entire array and high packing densities will provide a containment sample that is much improved over previous work. Finally, we will employ a high resolution pressure sensor with a SQUID readout to detect the small signal associated with a close approach to the transition.
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