Comparison of the Lindhard–Sørensen and Mott–Bloch Corrections to the Bethe Stopping Formula at Moderately Relativistic Energies
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Date
2021Author
P. B. Kats
K. V. Halenka
O. O. Voskresenskaya
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A comparative study of the total Mott and Bloch correction and the Lindhard−Sørensen correction
in the point nucleus approximation to the Bethe stopping formula is performed for the ranges of a gamma
factor and the ion nuclear charge number 6 ≤ Z ≤ 114. It is shown that the accurate calculation of
the Mott–Bloch correction based on the Mott exact cross section using a method previously proposed by one
of the authors gives excellent agreement between its values and the values of the Lindhard–Sørensen correction
in the γ and Z ranges under consideration. It is also demonstrated that the results of stopping power calculations
obtained by the two above-mentioned rigorous methods provide the best agreement with experimental
data in contrast with the results of approximate methods, such as the methods of Ahlen, Jackson–
McCarthy, etc.