The Resonance Scattering Phenomenon of Fast Negatively Charged Particles in a Single Crystal

TL;DR

This paper investigates resonance scattering of fast negatively charged particles in single crystals, showing that quasi-bound states lead to observable resonance phenomena when particles move at small angles to crystallographic axes, with results matching experiments.

Contribution

It introduces the concept of resonance scattering for negatively charged particles in crystals and provides theoretical calculations consistent with experimental observations.

Findings

Resonance scattering occurs for small transversal momentum components.

Calculated resonance peak widths align with experimental data.

Quasi-bound states influence the energy spectrum of particles in crystals.

Abstract

The energy spectrum of the extended attractive potential of a crystallographic row for negatively charged particles has quasi-bound states. It follows that a negatively charged particle with small transversal momentum component ($p_{\bot} R <<1$) may undergo resonance scattering. Thus the resonance scattering phenomenon can be observed in a single crystal, when fast electrons move with a small glancing angle ($\theta_0 << 1/pR$) to a crystallographic axis. The calculated results for the electrons and angular widths of resonance peaks are consistent with experimental data.