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APS

Precisison neutron interferometric measurement of the nd coherent scattering length

William Michael Snow, T. Black, Muhammad Arif, P.R. Huffman, David L. Jacobson, S. A. Werner, Helmut Kaiser, Keary Schoen, S. K. Lamoreaux

Published Nov 1, 2003• 0 citations
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Precision measurement of the bound-coherent-neutron scattering length of U235

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With use of the neutron interferometric technique, the real parts of the bound-coherent scattering length, b, of $^{235}\mathrm{U}$ have been precisely measured for five different incident neutron energies in the range of 30 to 92 meV. The value of b at each incident neutron energy was obtained from the average of two independent measurements using two samples of different thicknesses. The results are b=10.47\ifmmode\pm\else\textpm\fi{}0.04 fm (E=30.34 meV), b=10.47\ifmmode\pm\else\textpm\fi{}0.03 fm (E=41.02 meV), b=10.51\ifmmode\pm\else\textpm\fi{}0.03 fm (E=51.43 meV), b=10.39\ifmmode\pm\else\textpm\fi{}0.03 fm (E=74.90 meV), b=10.41\ifmmode\pm\else\textpm\fi{}0.03 fm (E=91.39 meV). The uncertainty in these results is about an order of magnitude smaller than the present literature value. The small energy dependence of the observed scattering lengths has been used to establish the parameters of the negative energy resonance level (-1.4 eV) using the Breit-Wigner formalism.

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Neutron spin echo is a "quantum tale of two paths''

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We describe an experiment that strongly supports a two-path interferometric model in which the spin-up and spin-down components of each neutron propagate coherently along spatially separated parallel paths in a typical neutron spin echo small angle scattering (SESANS) experiment. Specifically, we show that the usual semi-classical, single-path treatment of Larmor precession of a polarized neutron in an external magnetic field predicts a damping as a function of the spin echo length of the SESANS signal obtained with a periodic phase grating when the transverse width of the neutron wave packet is finite. However, no such damping is observed experimentally, implying either that the Larmor model is incorrect or that the transverse extent of the wave packet is very large. In contrast, we demonstrate theoretically that a quantum-mechanical interferometric model in which the two mode-entangled (i.e. intraparticle entangled) spin states of a single neutron are separated in space when they interact with the grating accurately predicts the measured SESANS signal, which is independent of the wave packet width.

arXiv:2309.03987•Sep 7, 2023•0 citations
Measuring the Spin-Dependent Scattering Length of 3^{3}3He using Neutron Interferometry
With use of the neutron interferometric technique, the real parts of the bound-coherent scattering length, b, of 235U^{235}\mathrm{U}235U have been precisely measured for five different incident neutron energies in the range of 30 to 92 meV. The value of b at each incident neutron energy was obtained from the average of two independent measurements using two samples of different thicknesses. The results are b=10.47\ifmmode\pm\else\textpm\fi{}0.04 fm (E=30.34 meV), b=10.47\ifmmode\pm\else\textpm\fi{}0.03 fm (E=41.02 meV), b=10.51\ifmmode\pm\else\textpm\fi{}0.03 fm (E=51.43 meV), b=10.39\ifmmode\pm\else\textpm\fi{}0.03 fm (E=74.90 meV), b=10.41\ifmmode\pm\else\textpm\fi{}0.03 fm (E=91.39 meV). The uncertainty in these results is about an order of magnitude smaller than the present literature value. The small energy dependence of the observed scattering lengths has been used to establish the parameters of the negative energy resonance level (-1.4 eV) using the Breit-Wigner formalism.
We describe an experiment that strongly supports a two-path interferometric model in which the spin-up and spin-down components of each neutron propagate coherently along spatially separated parallel paths in a typical neutron spin echo small angle scattering (SESANS) experiment. Specifically, we show that the usual semi-classical, single-path treatment of Larmor precession of a polarized neutron in an external magnetic field predicts a damping as a function of the spin echo length of the SESANS signal obtained with a periodic phase grating when the transverse width of the neutron wave packet is finite. However, no such damping is observed experimentally, implying either that the Larmor model is incorrect or that the transverse extent of the wave packet is very large. In contrast, we demonstrate theoretically that a quantum-mechanical interferometric model in which the two mode-entangled (i.e. intraparticle entangled) spin states of a single neutron are separated in space when they interact with the grating accurately predicts the measured SESANS signal, which is independent of the wave packet width.