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Gontchar I. I., Chushnyakova M. V., Khmyrova N. A. Systematics of the Coulomb barrier characteristics resulting from M3Y nucleon-nucleon forces for reactions with heavy ions. Izvestiya of Saratov University. Physics , 2023, vol. 23, iss. 2, pp. 157-166. DOI: 10.18500/1817-3020-2023-23-2-157-166, EDN: DNUYIV

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Systematics of the Coulomb barrier characteristics resulting from M3Y nucleon-nucleon forces for reactions with heavy ions

Gontchar Igor I., Omsk State Transport University
Chushnyakova Maria V., Omsk State Technical University
Khmyrova Natalya A., Omsk State Transport University

In the literature, often the capture cross sections for spherical heavy-ions are calculated by virtue of the characteristics of the s-wave barrier: its energy, radius, and stiffness. We evaluate these quantities systematically within the framework of the double-folding model. For the effective nucleon-nucleon forces, the M3Y Paris forces with zero-range exchange part are used. The strength of this part is modified to fit the barrier energy obtained with the density-dependent finite-range exchange part. For the nucleon density, two options are employed. The first one (V-option) is based on the experimental charge densities. The second one, C-option, comes from the IAEA data base; these densities are calculated within the Hartree-Fock-Bogolubov approach. For both options, the analytical approximations are developed for the barrier energy, radius, and stiffness. The accuracy of these approximations is about 3% for the barrier energy and radius and about 10% for the stiffness. The proposed approximations can be easily used by everyoneto estimatethe capture cross sections within the parabolic barrier approximation.

This work was supported by the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS”.
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