We measured the neutron scattering intensities from pure liquid ${\mathrm{H}}_{2}\mathrm{O}$ relative to that of pure ${\mathrm{D}}_{2}\mathrm{O}$ and also relative to ${\mathrm{H}}_{2}\mathrm{O}\mathrm{\text{\ensuremath{-}}}{\mathrm{D}}_{2}\mathrm{O}$ mixtures, at room temperature. This study is relevant to the problem of quantum entanglement. The neutrons were generated from an electron Linac and the final energy of the scattered neutrons was fixed at 24.3 keV using a 20 cm thick pure iron filter. The scattering intensity ratios were found to agree with expected values deduced from the tabulated total cross sections within an accuracy of 3%. Thus no anomaly was observed.We measured the neutron scattering intensities from pure liquid ${\mathrm{H}}_{2}\mathrm{O}$ relative to that of pure ${\mathrm{D}}_{2}\mathrm{O}$ and also relative to ${\mathrm{H}}_{2}\mathrm{O}\mathrm{\text{\ensuremath{-}}}{\mathrm{D}}_{2}\mathrm{O}$ mixtures, at room temperature. This study is relevant to the problem of quantum entanglement. The neutrons were generated from an electron Linac and the final energy of the scattered neutrons was fixed at 24.3 keV using a 20 cm thick pure iron filter. The scattering intensity ratios were found to agree with expected values deduced from the tabulated total cross sections within an accuracy of 3%. Thus no anomaly was observed.

Physical Review LettersMay 12, 200538 citations

Quantum Effects of Neutron Scattering on Indistinguishable Particles

E. Karlsson

Neutron NewsJan 2, 20231 citation

Quantum-statistical interference of coincident neutrons from the compound nucleus

W. Dünnweber, W. Lippich, Dörte Otten +5 more

Coincident neutrons from the $^{18}\mathrm{O}$ ${+}^{26}$ Mg${\ensuremath{\rightarrow}}^{44}$Ca ( ${\mathit{E}}_{\mathit{x}}$ =60 and 71 MeV) compound-nuclear reaction show an anticorrelation at small relative momentum, giving evidence for quantum-statistical interference in analogy to the optical Hanbury-Brown and Twiss effect. An average decay width of 60 keV is extracted from the measured energy correlations. The deduced extension of the neutron wave packets exceeds by far the nn scattering length, in accordance with the observed insignificance of the attractive nn final-state interaction.Coincident neutrons from the $^{18}\mathrm{O}$${+}^{26}$Mg${\ensuremath{\rightarrow}}^{44}$Ca (${\mathit{E}}_{\mathit{x}}$=60 and 71 MeV) compound-nuclear reaction show an anticorrelation at small relative momentum, giving evidence for quantum-statistical interference in analogy to the optical Hanbury-Brown and Twiss effect. An average decay width of 60 keV is extracted from the measured energy correlations. The deduced extension of the neutron wave packets exceeds by far the nn scattering length, in accordance with the observed insignificance of the attractive nn final-state interaction.

Physical Review LettersJul 16, 199026 citations

Effects of entanglement on elastic and inelastic scattering functions for neutron scattering from a pair of nuclei in solids

Hidehiko Sugimoto, Aiko Okumura, 寛之結城

We calculate the scattering function of neutrons, $S(\stackrel{P\vec}{q},\ensuremath{\omega})$, from a pair of nuclei in entangled states caused by the quantum-mechanical indistinguishability of particles. From the calculation, the conditions for detecting the entanglement of protons in solids by neutron scattering experiments are clarified. Our conclusion is that the entangled state of a proton pair, if it exists, can be observed by performing neutron scattering experiments at very low temperatures for elastic scattering and with high energy resolution for inelastic scattering.We calculate the scattering function of neutrons, $S(\stackrel{P\vec}{q},\ensuremath{\omega})$, from a pair of nuclei in entangled states caused by the quantum-mechanical indistinguishability of particles. From the calculation, the conditions for detecting the entanglement of protons in solids by neutron scattering experiments are clarified. Our conclusion is that the entangled state of a proton pair, if it exists, can be observed by performing neutron scattering experiments at very low temperatures for elastic scattering and with high energy resolution for inelastic scattering.

Physical Review BJan 25, 200614 citations

We measured the neutron scattering intensities from pure liquid

{\mathrm{H}}_{2}\mathrm{O}

relative to that of pure

{\mathrm{D}}_{2}\mathrm{O}

and also relative to ${\mathrm{H}}_{2}\mathrm{O}\mathrm{\text{\ensuremath{-}}}{\mathrm{D}}_{2}\mathrm{O}$ mixtures, at room temperature. This study is relevant to the problem of quantum entanglement. The neutrons were generated from an electron Linac and the final energy of the scattered neutrons was fixed at 24.3 keV using a 20 cm thick pure iron filter. The scattering intensity ratios were found to agree with expected values deduced from the tabulated total cross sections within an accuracy of 3%. Thus no anomaly was observed.

Coincident neutrons from the

^{18}\mathrm{O}

{+}^{26}

Mg${\ensuremath{\rightarrow}}^{44}$Ca (

{\mathit{E}}_{\mathit{x}}

=60 and 71 MeV) compound-nuclear reaction show an anticorrelation at small relative momentum, giving evidence for quantum-statistical interference in analogy to the optical Hanbury-Brown and Twiss effect. An average decay width of 60 keV is extracted from the measured energy correlations. The deduced extension of the neutron wave packets exceeds by far the nn scattering length, in accordance with the observed insignificance of the attractive nn final-state interaction.