Differential cross sections for muonic atom scattering in solid hydrogenic targets

Abstract

The differential cross sections for low-energy muonic hydrogen atom scattering in solid molecular H 2 , D 2 , and T 2 targets under low pressure have been calculated for various temperatures. The polycrystalline fcc and hcp structure of the solid hydrogenic targets are considered. The Bragg and phonon scattering processes are described using the Debye model of a solid. The calculated cross sections are used for Monte Carlo simulations of the muonic atom slowing down in these targets. They have been successfully applied for a description of the production of the muonic atom beams in the multilayer hydrogenic crystals.

Cold neutron scattering in imperfect deuterium crystals

“…Therefore, it is sufficient to use the neutron mass, scattering lengths, and appropriate spin correlations [25,26] in the general equations from Refs. [23,24]. As a result, in the case of n + D 2 scattering one obtains…”

“…The functions σ 0n , σ coh , and σ inc have been calculated similarly as the analogous quantities for the muonic atom scattering in gaseous and solid hydrogenic targets [23,24]. Since the muonic atoms are small neutral objects, the methods of evaluation of the cross sections for these atoms are almost the same as for neutrons.…”

Muonic-atom scattering from hydrogenic liquids in an incoherent approach

“…It has been shown in Ref. [11] that the total cross sections for aµ scattering in solid hydrogens are practically unaffected by the coherent processes at collision energy ε 1-2 meV. In Eq.…”

“…However, in the considered experiments, these processes take place in the molecular liquid targets. One may thus expect that the realistic cross sections are very different from that for the scattering from free nuclei or molecules, which has already been shown in the case of solid hydrogenic targets [11]. An estimation of the differential cross sections for muonic atom scattering from the liquid hydrogenic targets in a simple incoherent approximation is the aim of this work.…”

Density effect in d - d catalyzed fusion with ortho-and para-enriched deuterium

“…We have successfully observed a clear difference in d-d fusion neutron spectra between ortho-, normal-and paraenriched D 2 . Recently, in order to determine the nature of the condensed-matter effect, we observed the ortho-para dependent phenomena in different target densities at similar temperatures with low-density gas, φ ≤ 0.17 LHD (liquid hydrogen density: 4.25×10 22 atoms/cc) and T = 36.2 K, and pressurized liquid, φ ≥ 0.86 LHD and T ≥ 35 K. Such an experiment is not only a sensitive examination of the ortho-para effect predicted by the existing μCF theories [2] (Faifman, private communication), but also essential to understand a high-density effect in condensed matter [7,8].…”