Heavy-ion fusion using a parabolic barrier with Coulomb interaction

Q. Haider and F. Bary Malik
Phys. Rev. C 26, 162 – Published 1 July 1982
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Abstract

In this work, we describe the fusion mechanism between two heavy ions as penetration through a parabolic barrier in the presence of a proper Coulomb interaction with appropriate boundary conditions. The parabolic potential is matched to the Coulomb potential in order to avoid any discontinuity of the potential surface. The Schrödinger equations in the exterior and interior regions containing, respectively, the Coulomb and the parabolic potentials, are solved and the penetrability function is calculated from the logarithmic derivative at the matching radius. The theory is then applied to calculate the fusion cross sections for the reactions O16+O16, C12+Si28,29,30, O16+Mg24,26, O16+Si28,29,30, and Ca40+Ca40 and are found to reproduce the data quite well. The theory is valid for energies both below and above the barrier.

NUCLEAR REACTIONS Heavy-ion fusion; effect of Coulomb interaction; analytic expression for the penetrability function; application to various reactions.

  • Received 8 September 1981

DOI:https://doi.org/10.1103/PhysRevC.26.162

©1982 American Physical Society

Authors & Affiliations

Q. Haider and F. Bary Malik

  • Department of Physics and Astronomy, Southern Illinois University-Carbondale, Carbondale, Illinois 62901

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Vol. 26, Iss. 1 — July 1982

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