Derivation of capture cross section from quasielastic excitation function

TL;DR

This paper derives a method to extract capture cross sections and angular momenta from quasielastic excitation data, demonstrating its effectiveness across several nuclear reactions near the Coulomb barrier.

Contribution

It presents a new derivation linking quasielastic excitation functions to capture cross sections and angular momenta, providing a practical tool for nuclear reaction analysis.

Findings

Quasielastic data effectively extract capture cross sections.

Method applied successfully to multiple nuclear reactions.

Useful at near and above Coulomb barrier energies.

Abstract

The relationship between the quasielastic excitation function and the capture cross section is derived. The quasielastic data is shown to be a useful tool to extract the capture cross sections and the angular momenta of the captured systems for the reactions $^{16}$O+$^{144,154}$Sm,$^{208}$Pb, $^{20}$Ne+$^{208}$Pb, and $^{32}$S+$^{90,96}$Zr at near and above the Coulomb barrier energies.