Improved adiabatic calculation of muonic-hydrogen-atom cross sections. II. Hyperfine transitions and elastic scattering in symmetric collisions.

Abstract

The improved adiabatic representation is used in calculations of elastic and hyperfine-transition cross sections for symmetric collisions of {ital p}{mu}, {ital d}{mu}, and {ital t}{mu} with bare {ital p}, {ital d}, and {ital t} nuclei and with H, D, and T atoms, respectively. The cross sections for {ital d}{mu}+{ital d} and {ital t}{mu}+{ital t} are in excellent agreement with other recent determinations, while those for {ital p}{mu}+{ital p} are about 30% larger at low energies. The electronic screening is calculated nonperturbatively and found to be about 30% smaller in magnitude than the previously calculated value at large internuclear distances, and to deviate considerably from the asymptotic form in the molecular region. The resulting screened elastic cross sections are up to 60% smaller than those obtained using the old screening potential. The reactance matrices, needed for calculations of molecular-target effects, are given in tables.