Diving into Raynal’s DWBA code

• Published in: The European physical journal. A, Hadrons and nuclei Vol. 57; no. 1
• Main Authors: Blanchon, G., Dupuis, M., Arellano, H. F., Bernard, R. N., Morillon, B., Romain, P.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2021; Springer Nature B.V; EDP Sciences ; Springer [1998-....]
• Subjects: Differential equations; Elastic scattering; Hadrons; Heavy Ions; Nuclear Fusion; Nuclear Physics; Nuclear Reaction Studies: a Tribute to Jacques Raynal; Nuclear Theory; Nucleons; Particle and Nuclear Physics; Physics; Physics and Astronomy; Regular Article – Theoretical Physics; Schrodinger equation; Wave functions
• ISSN: 1434-6001; 1434-601X
• DOI: 10.1140/epja/s10050-020-00331-5

The study of nucleon-nucleus elastic scattering for spherical targets amounts to solving Schrödinger equation with a given optical potential. This potential can be obtained microscopically by taking as a starting point the interaction between two nucleons. It can also be obtained in a phenomenological way by postulating the geometry of potential and fitting parameters to reproduce experimental data. Microscopic approaches show in general terms that optical potentials are nonlocal, energy-dependent, complex and dispersive. The nonlocality of the potential leads to an integro-differential equation for the wavefunction. We present here a new version of SIDES (Schrödinger Integro-Differential Equation Solver), a code developed with the participation of Jacques Raynal, extended for nonlocal potentials with first-derivative terms.