Semi-classical Characters and Optical Model Description of Heavy Ion Scattering, Direct Reactions, and Fusion at Near-barrier Energies

Abstract

An approach is proposed to calculate the direct reaction (DR) and fusion probabilities for heavy ion collisions at near-Coulomb-barrier energies as functions of the distance of closest approach D within the framework of the optical model that introduces two types of imaginary potentials, DR and fusion. The probabilities are calculated by using partial DR and fusion cross sections, together with the classical relations associated with the Coulomb trajectory. Such an approach makes it possible to analyze the data for angular distributions of the inclusive DR cross section, facilitating the determination of the radius parameters of the imaginary DR potential in a less ambiguous manner. Simultaneous ${\chi }^2$-analyses are performed of relevant data for the ${}^{16}$O+${}^{208}$Pb system near the Coulomb-barrier energy.

References in corpus (1)

• Coupled-channels analysis of the ${}^{16}$O+${}^{208}$Pb fusion barrier distribution

Cited by in corpus (6)

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• Extended Optical Model Analyses of Elastic Scattering and Fusion Cross Section Data for the 7Li+208Pb System at Near-Coulomb-Barrier Energies using the Folding Potential
• Extended Optical Model Analyses of Elastic Scattering, Direct Reaction, and Fusion Cross Sections for the 9Be + 208Pb System at Near-Coulomb-Barrier Energies
• Extended Optical Model Analyses of Elastic Scattering and Fusion Cross Section Data for the ${}^{12}$C+${}^{208}$Pb System at Near-Coulomb-Barrier Energies by using a Folding Potential
• Suppression of the elastic scattering cross section for 17Ne + 208Pb system