Izvestiya of Saratov University.

Physics

ISSN 1817-3020 (Print)
ISSN 2542-193X (Online)


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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

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
30.06.2023
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English
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Article
UDC: 
539.17.01
EDN: 
DNUYIV

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

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

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.

Acknowledgments: 
This work was supported by the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS”.
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Received: 
02.01.2023
Accepted: 
03.02.2023
Published: 
30.06.2023