Abstract
The coherent process of particle deflection by aligned atomic strings and planes of oriented crystals is accompanied by incoherent scattering by atomic cores. While the coherent particle deflection, described by the axial or planar averaged potential, becomes more and more classical at high energies, the incoherent scattering of relativistic particles remains essentially quantum. Though the latter reminds the scattering by atoms of amorphous medium at high enough momentum transfers, at the smallest ones the incoherent scattering process in crystals experiences some modification by the influence of the inhomogeneity of the atom distribution in the plane, normal to the crystal axis or plane. Considering the axial case as a more general example, we present a consistent theory of high energy particles incoherent scattering in oriented crystals. The latter takes into consideration both the quantum scattering nature and the atom distribution inhomogeneity, revealing the limited applicability of the scattering cross section notion. The way to incorporate the quantum scattering features into the widely used classical trajectory simulations is elaborated using newly introduced mean square scattering angle definition.
Highlights
Eq (9), which is the only equation used in the following, takes the form
Numerical predictions of theR demonstrated by the integral latter are d2qhWρn illustrated by the new versions of Figs. 4 ðρ; qÞi 1⁄4 0, representing itself the unitarity and 6 below, while the condition for the Wigner consistency function (3)
Left-hand sides of Eqs. (4), (6), as well as both sides of Eqs. (5) and (7), instead of the difference ρ − ρn depend on both vector ρ and ρn individually
Summary
1. An erroneous appearance of −i factor in the right-hand side of Eq (6) resulted in the wrong signs for the last term of Eq (8), as well as for the terms containing cosð2qρÞ in both Eqs. Eq (9), which is the only equation used in the following, takes the form Numerical predictions of theR demonstrated by the integral latter are d2qhWρn illustrated by the new versions of Figs.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
