Anomalies in multiple scattering of charged particles in a thick crystal

Coherent Schwinger interaction from Darboux transformation

“…The interaction of a neutral massive particle with the spin 1/2 (e.g.neutron) with an external electrostatic field generated by the Darboux transformation can be interpreted as Schwinger interaction of neutron with atoms of the lattice in its channeling in the nonmagnetic crystals [39,41,42,43,44,45,46].…”

Impact of high-energy cosmic-ray protons and ions on the elements of spacecraft on-board devices

“…The fea tures of particle motion in the crystal with dimension less transverse energies ε ⊥ that exceed the critical value for channeling ε ⊥cr (ε ⊥cr = 2) should be carefully con sidered. So, in a number of works, it is shown theoret ically [34,35] and experimentally [36,37] that for ε ⊥cr < ε ⊥ < 20 a mode exists that is, in fact, opposite to channelling, for which inelastic processes occur at a rate exceeding the values characteristic of an amor phous body or, which is the same, for random motion in the crystal (Fig. 9, 10).…”

“…Additionally, the review in [34] presents the results of vast computer studies of the motion of charged par ticles (protons) in a thick heated crystal with initial conditions favorable for both axial channeling and random modes. The simulation program imple mented representations of coherent particle scattering from the atomic string (AS) lying along the analyzed axial direction for the ideal crystal.…”

“…This made it possi ble to introduce a new quasi integral of dynamics in the transverse plane relative to the AS axis (the energy of transverse motion ε ⊥ and the continuous Lindhard's potential for AS) and to consider the crystal as an ordered (in accordance with its actual symmetry) aggregate of ASs. For a real crystal, incoherent scatter ing on the electrons and nuclei of atoms involved in thermal lattice vibrations with a variation in the total particle Е and transverse energy ε ⊥ was described ana lytically as a function of ε ⊥ and momentum (the impact parameter of the collision with AS) [34]. This provided a unique program running speed which enabled the simulation of charged particle motion in very thick crystals up to their stopping.…”