Eur. Phys. J. A (2014) 50: 168
https://doi.org/10.1140/epja/i2014-14168-8

Regular Article - Theoretical Physics

Extracting integrated and differential cross sections in low-energy heavy-ion reactions from backscattering measurements

¹ Joint Institute for Nuclear Research, 141980, Dubna, Russia
² Yerevan State University, M. Manougian 1, 0025, Yerevan, Armenia
³ European Centre for Theoretical Studies in Nuclear Physics and Related Areas, I-38123, Villazzano, Italy
⁴ Instituto de Fisica, Universidade Federal Fluminense, Av. Litorânea, 24210-340, Niterói, Brazil
⁵ Institut für Theoretische Physik der Justus-Liebig-Universität, D-35392, Giessen, Germany

^* e-mail: adamian@theor.jinr.ru

Received: 10 September 2014
Revised: 7 October 2014
Accepted: 23 October 2014
Published online: 6 November 2014

Abstract

We suggest new methods to extract elastic (quasi-elastic) scattering angular distribution and reaction (capture) cross sections from the experimental elastic (quasi-elastic) backscattering excitation function taken at a single angle. A novel Coulomb scattering relation between angular momentum and centrifugal energy is used. The methodology is developed for addressing complementary reaction observables, improving the description of elastic differential cross section.