Differential cross sections for muonic atom scattering from hydrogenic molecules

Abstract

The differential cross sections for low-energy muonic hydrogen atom scattering from hydrogenic molecules are directly expressed by the corresponding amplitudes for muonic atom scattering from hydrogen-isotope nuclei. The energy and angular dependence of these three-body amplitudes is thus taken naturally into account in scattering from molecules, without involving any pseudopotentials. Effects of the internal motion of nuclei inside the target molecules are included for every initial rotational-vibrational state. These effects are very significant as the considered three-body amplitudes often vary strongly within the energy interval $\lesssim 0.1$ eV. The differential cross sections, calculated using the presented method, have been successfully used for planning and interpreting many experiments in low-energy muon physics. Studies of ${\mu }^{-}$ nuclear capture in $p\mu$ and the measurement of the Lamb shift in $p\mu$ atoms created in H${}_2$ gaseous targets are recent examples.

21 pages, 13 figures, submitted to Phys. Rev. A

References in corpus (1)

• Generalized Pseudopotentials for Higher Partial Wave Scattering

Cited by in corpus (12)

• Measurement of Muon Capture on the Proton to 1% Precision and Determination of the Pseudoscalar Coupling g_P
• Muonic atom spectroscopy with microgram target material
• Theoretical and computational study of the energy dependence of the muon transfer rate from hydrogen to higher-Z gases
• Diffusion radius of muonic hydrogen atoms in H-D gas
• First measurement of the temperature dependence of muon transfer rate from muonic hydrogen atoms to oxygen
• Experimental determination of the energy dependence of the rate of the muon transfer reaction from muonic hydrogen to oxygen for collision energies up to 0.1 eV
• Differential cross sections for muonic atom scattering in solid hydrogenic targets
• Monte Carlo simulations of muCF processes kinetics in deuterium gas
• Laser excitation of the 1s-hyperfine transition in muonic hydrogen
• Cold neutron scattering in imperfect deuterium crystals
• An influence of the spectator-nuclear motion on nonresonant formation of the muonic hydrogen molecules
• Muonic-atom scattering from hydrogenic liquids in an incoherent approach