Precision Measurements of the n-H, n-D, and n-3He Coherent Scattering Lengths

Astronomy and Astrophysics – Astrophysics

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Theoretical calculations of the properties of few-nucleon systems starting from the nucleon-nucleon (NN) interaction potential have been improved qualitatively over the last few years. The issue of the nature and origin of three- and four-nucleon (3N and 4N) forces in particular has received special attention. The triton binding energy and the doublet n-D scattering length are the two zero-energy observables for which calculations of the effects of 3N forces are uncomplicated by Coulomb corrections. Since the quartet n-D scattering length is mainly due to the long-range part of the NN interaction and is therefore determined essentially by the properties of the deuteron, a precision measurement of the coherent n-D scattering length (which is a linear combination of the doublet and quartet lengths) can be used to gain information on the n-D doublet scattering length. In measuring n-H and n-3He scattering lengths, one can theoretically extract n-n and n-p interactions, which can then be used to examine the residual few-nucleon forces and deviations from theory. We will present new measurements of the n-D, n-H, and n-3He coherent scattering lengths using the NIST neutron interferometer facility with comparable sensitivity for n-D and n-H and almost an order-of-magnitude improvement in sensitivity for n-3He, relative to existing measurements.

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