Expression for the Mott corrections to the Bethe-Bloch formula in terms of the Mott partial amplitudes

Corrections to the Bethe formula for average ionization energy loss of relativistic charged particles in solids. I. Mott's corrections

“…Ref. [10] gives an exact expression for the Mott correction in the form of a rather fast converging series of the quantities bilinear in the Mott partial amplitudes, which can be quite simply calculated.…”

“…The aim of the presented work is to obtain numerical results for the Mott corrections to the Bethe formula over a wide range of nuclear charge number of the incident particles at various values of their relative velocity β based on results of [10] and also to estimate In Section 4 we briefly sum up our results and outline some prospects.…”

Corrections to the higher moments of the heavy ion energy-loss distribution beyond the Born approximation. II. Beta dependence of Mott's corrections

“…Ref. [5] gives an exact expression for the Mott correction in the form of a rather fast converging series of the quantities bilinear in the Mott partial amplitudes, which can be quite simply calculated.…”

“…The aim of the presented work is to estimate the relative Mott corrections to the first-order Born central moments and normalized central moments of the energy-loss distribution for some heavy ions in a wide range of relative particle velocity based on results of [5]. The presented communication is organized as follows.…”

“…The presented communication is organized as follows. Section 2 considers the analytical expressions for the higher moments of the heavy ion energy-loss distribution in the form of a quite rapidly converging series on the basis of [5]. Section 3 gives the results of numerical calculations for the relative Mott corrections to the n-th central moments of the distribution.…”