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• W2044420842 endingPage "1921" @default.
• W2044420842 startingPage "1915" @default.
• W2044420842 abstract "Neutron optical activity or the rotation of the neutron polarization is investigated in the scattering of polarized neutron beams from chiral molecules. A rotation exists to first order in the neutron-electron spin-orbit interaction for randomly oriented target molecules if a total angular momentum $ensuremath{hbar}({stackrel{ensuremath{rightarrow}}{mathrm{j}}}_{t}+{stackrel{ensuremath{rightarrow}}{mathrm{s}}}_{t})$ and an orbital angular momentum $h{stackrel{ensuremath{rightarrow}}{mathrm{j}}}_{t}^{*}$ are transferred coherently to a molecular rotator. The first is the angular momentum developed by incident and scattered waves and spinors through a region of interaction with the magnetic fields generated by electrons bound in the twisted potentials characteristic of a chiral molecule. The second is the angular momentum developed by incident and scattered waves through a region of interaction with a network of atomic nuclei having the same twist. The magnetic amplitude must be calculated in the first Born distorted-wave approximation. Distortion causes the magnitudes of the magnetic amplitudes to be distinct for $ensuremath{Delta}l=ifmmodepmelsetextpmfi{}1$, $ensuremath{Delta}m=ifmmodepmelsetextpmfi{}1$, and $ensuremath{Delta}l=ifmmodepmelsetextpmfi{}1$, $ensuremath{Delta}m=0$ partial-wave transitions induced by the magnetic forces, thus preventing their cancellation on rotationally averaging the cross section. This distortion is produced by the nuclear background; thus the rotation is of order $frac{{m}_{N}}{{m}_{e}}$ (neutron-to-electron mass ratio) larger than previous estimates based on the use of the second Born plane-wave magnetic amplitude for forward scattering. However, the present rotation exists only at nonzero scattering angles. This is the first example of a rotation of the neutron polarization which is nonvanishing to first order in a spin-orbit interaction. Its strength makes it an important effect in the use of neutrons to probe molecular structure. We check our result by finding the limit of scattering from spin-independent forces. Here the rotation vanishes, and the incoherent limit for the transfer $ensuremath{hbar}{stackrel{ensuremath{rightarrow}}{mathrm{j}}}_{t}=ensuremath{hbar}{stackrel{ensuremath{rightarrow}}{mathrm{j}}}_{t}^{*}$ obtains. This limit is well known from the Fano-Dill or Temkin-Sullivan theory of orbital-angular-momentum transfer to a rotator." @default.
• W2044420842 created "2016-06-24" @default.
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• W2044420842 date "1979-11-01" @default.
• W2044420842 modified "2023-09-25" @default.
• W2044420842 title "Optical activity in the scattering of neutrons from chiral molecules" @default.
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• W2044420842 doi "https://doi.org/10.1103/physreva.20.1915" @default.
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