The Optical Model Absorption Term in the Frame of Fractional Derivatives

Abstract

The complex optical model has been widely used to describe the elastic scattering of the nucleon–nucleus. The imaginary term of the optical potential takes into account the non-elastic scattering processes. This term was taken to be a Woods–Saxon form factor or its derivative to simulate the volume absorption or the absorption localized at the surface of the target, respectively. In this study, a fractional derivative of the Woods–Saxon potential with 0α1 was used, where α=0 and α=1 give the volume and the surface absorption form factor, respectively.

Keywords

• optical model
• fractional calculus
• differential cross section
• phenomenological optical potential