English

Exact limiting relation between the structure factors in neutron and x-ray scattering

Statistical Mechanics 2015-05-19 v1 Quantum Physics

Abstract

The ratio of the static matter structure factor measured in experiments on coherent X-ray scattering to the static structure factor measured in experiments on neutron scattering is considered. It is shown theoretically that this ratio in the long-wavelength limit is equal to the nucleus charge at arbitrary thermodynamic parameters of a pure substance (the system of nuclei and electrons, where interaction between particles is pure Coulomb) in a disordered equilibrium state. This result is the exact relation of the quantum statistical mechanics. The experimental verification of this relation can be done in the long wavelength X-ray and neutron experiments.

Keywords

Cite

@article{arxiv.1007.1758,
  title  = {Exact limiting relation between the structure factors in neutron and x-ray scattering},
  author = {V. B. Bobrov and S. A. Trigger and S. N. Skovorod'ko},
  journal= {arXiv preprint arXiv:1007.1758},
  year   = {2015}
}

Comments

7 pages, no figures

R2 v1 2026-06-21T15:46:47.688Z