Bound-Bound Transitions in Hydrogenlike Atoms Induced by Fast Charged Particles

Abstract

Considering the transition from the $\mathrm{nl}$ level in an hydrogenlike atom to the $n^{\prime }{l}^{\prime }$ level induced by fast charged particles of mass $M$, charge $z$, and energy $E$, when $\left(\frac{M}{\mu }\right)\left(\frac{\Delta E}{E}\right)\ll 1$, with $\mu$ the electronic charge and $\Delta E$ the excitation energy, the excitation cross section can be written $Q_{\mathrm{BB}}(nl,n^{\prime }{l}^{\prime })={\left(\frac{\mathrm{Mz}}{\mu Z}\right)}^2{E}^{-1\mathrm{}}\left[A\right(nl,n^{\prime }{l}^{\prime })\ln E+B(nl,n^{\prime }{l}^{\prime }\left)\right],$