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On measuring the neutron coherent scattering length with ultrahigh precision
Authors:Sohrab Abbas  Apoorva G Wagh
Institution:(1) Solid State Physics Division, Bhabha Atomic Research Centre, 400 085 Mumbai, India
Abstract:We propose an order of magnitude improvement in the present five parts in 105 precision of a nondispersive interferometric measurement of the neutron coherent scattering lengthb c. For this purpose we make a judicious selection of the Bragg angle for the interferometer and the sample thickness. The precision is further improved by an optimal choice of the Bragg reflection (and a consequent neutron wavelength). By performing the experiment in vacuum, errors arising from possible variations in the pressure, composition or humidity of the ambient air can be eliminated. On attaining such precision, we ought to account for the neutron beam refraction at the sample-ambient interfaces, to infer the correctb c from the observed phase. The formula for the phase used hitherto is approximate and would significantly overestimateb c. The refractive index for neutrons can thus be determined to a phenomenal precision of a few parts in 1012.
Keywords:Neutron scattering length  neutron interferrometry  nondispersive phase
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