Derivation of reaction cross sections from experimental elastic backscattering probabilities

Abstract

The relationship between the backward elastic scattering probabilities and reaction cross sections is derived. This is a a very simple and useful method to extract reaction cross sections for heavy ion systems. We compare the results of our method with those using the traditional full elastic scattering angular distributions, for several systems, at energies near and above the Coulomb barrier. From the calculated reaction and capture cross sections using the present method, we derive the cross sections of other mechanisms for nearly spherical systems.

8 pages, 9 figures

References in corpus (3)

• Total reaction cross sections from elastic alpha-nucleus scattering angular distributions around the Coulomb barrier
• ${}^{110,116}$Cd($\alpha ,\alpha$)${}^{110,116}$Cd elastic scattering and systematic investigation of elastic $\alpha$ scattering cross sections along the $Z$ = 48 isotopic and $N$ = 62 isotonic chains
• Derivation of capture cross section from quasielastic excitation function

Cited by in corpus (4)

• Systematics of capture and fusion dynamics in heavy-ion collisions
• The total reaction cross section of heavy-ion reactions induced by stable and unstable exotic beams: The low-energy regime
• Disagreement between capture probabilities extracted from capture and quasi-elastic backscattering excitation functions
• Derivation of capture and reaction cross sections from experimental quasi-elastic and elastic backscattering probabilities