Abstract

Hypothetical short-range interactions could be detected by measuring the wavefunctions of gravitationally bound ultracold neutrons (UCNs) on a mirror in the Earth's gravitational field.Searches for them with higher sensitivity require detectors with higher spatial resolution.We developed and have been improving an UCN detector with a high spatial resolution, which consists of a Si substrate, a thin converter layer including ^10B_4C, and a layer of fine-grained nuclear emulsion.Its resolution was estimated to be less than 100 nm by fitting tracks of either ^7Li nuclei or α-particles, which were created when neutrons interacted with the ^10B_4C layer.For actual measurements of the spatial distributions, the following two improvements were made.The first improvement was to establish a method to align microscopic images with high accuracy within a wide region of 65 mm × 0.2 mm.We created reference marks of 1 μm and 5 μm diameter with an interval of 50 μm and 500 μm, respectively, on the Si substrate by electron beam lithography and realized a position accuracy of less than 30 nm.The second improvement was to build a holder for the detector that could maintain the atmospheric pressure around the nuclear emulsion to utilize it under a vacuum during exposure to UCNs.The intrinsic resolution of the improved detector was estimated to be better than0.56(8) μm by evaluating the blur of a transmission image of a gadolinium grating taken by cold neutrons.The evaluation included the precision of the gadolinium grating.A test exposure was conducted to obtain the spatial distribution of UCNs in the quantized states on a mirror in the Earth's gravitational field.The distribution was obtained, fitted with the theoretical curve, and turned out to be reasonable for UCNs in quantized states when we considered a blurring of 6.9 μm.The blurring was well explained as a result of neutron refraction due to the large surface roughness on the upstream side of the Si substrate.By using a double-side-polished Si substrate, a resolution of less than 0.56 μm is expected to be achieved for UCNs.

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