An Approximation for the Density Matrix in Calculations of the Mean-Field Potential of the Interaction of Nuclei
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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 12C, 16O, and 40Ca nuclei have shown the adequacy of the proposed approximation.
Keywordsdensity matrix mean-field potential harmonic oscillator model diffraction optical model light nuclei
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