Abstract

In this paper, the Tikhonov regularization method and the classical molecular dynamics method are used to deal with the inverse problem involved in the measurement of inner-shell ionization cross sections by using the thick-target method. These two methods are applied to simulated and real experimental data for the $K$-shell ionization of a Ni element by electron impact. The satisfactory results can be obtained by using these two methods to treat the inverse problem involved in the thick-target method. The estimated total error for the method described in this paper is about 10%, which is the same order as the experimental error with the thin-target method. It can be concluded that the thick-target method can be reliably used in the future for the measurement of inner-shell ionization cross sections by electron or positron impact near the threshold energy region.

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