Analysis of 12C + 12C Elastic Scattering for Energy between 70 and 1440 MeV

Abstract

In the present work, we reanalysis the ¹²C + ¹²C refractive scattering over a wide energy range. The analysis is performed in the framework of optical model with the solution of the non-relativistic Schrödinger equation. For the real part of the optical model potential, we used real folded potentials based on JLM effective nucleon-nucleon (NN) interaction. For the imaginary part we used the familiar and conventional Woods-Saxon (WS) form with three adjusted parameters. Different local density approximations (LDA) are used for JLM effective NN interaction. Our main purpose is to find a systematic optical model potential over a wide energy range between 70.7 and 1440 MeV. The real JLM folded potentials with a shallow WS imaginary potentials successfully and systematically reproduced the general feature of the refractive elastic scattering of ¹²C + ¹²C. The energy dependence of the real (J_R) and imaginary (J_I) volume integrals and reaction cross sections σ_R is investigated.