—An approximation has been proposed for the nucleus single-particle density matrix in calculating the exchange component of the mean-field potential in the double-folding model. The method is based on the pseudo-oscillator representation of the density matrix and makes it possible to separate single-particle and internucleon variables, which greatly simplifies and accelerates the process of calculating the mean-field potential. Test calculations based on examples of alpha-particle interactions with $^{12}$C, $^{16}$O, and $^{40}$Ca nuclei have shown the adequacy of the proposed approximation.
24.10.Ht Optical and diffraction models
25.10.+s Nuclear reactions involving few-nucleon systems
$^1$Faculty of Physics, Lomonosov Moscow State University.
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