Microscopic optical potentials from a Greens function approach

Abstract

Optical potentials are a standard tool in the study of nuclear reactions, as they describe the interaction between a target nucleus and a projectile. The use of phenomenological optical potentials built using experimental data on stable isotopes is widespread. Although successful in their dedicated domain, it is unclear whether these phenomenological potentials can provide reliable predictions for unstable isotopes. To address this problem, optical potentials based on microscopic nuclear structure input calculations prove to be crucial and are an important current line of research. In this work we present an explicit implementation of the Feshbach formalism for the systematic derivation of optical potentials using input from nuclear structure models. Numerical tools for the derivation of Green's functions associated with nonlocal potentials are presented. The new optical potential, based on the valence shell model, is applied to the calculations of n+24Mg elastic scattering and yields a close agreement with the experimental data.

Accepted version

References in corpus (21)

• The R-matrix theory
• Quantum Monte Carlo calculations of spectroscopic overlaps in $A\le 7$ nuclei
• Optical potential from first principles
• Recent developments for the optical model of nuclei
• Ab initio optical potentials and nucleon scattering on medium mass nuclei
• Forging the link between nuclear reactions and nuclear structure
• Optical potentials for the rare-isotope beam era
• Microscopic positive-energy potential based on Gogny interaction
• 7Be(p,gamma)8B S-factor from ab initio no-core shell model wave functions
• Uncertainty-quantified phenomenological optical potentials for single-nucleon scattering
• Non-localities in nucleon-nucleus potentials
• Ab initio Leading Order Effective Potentials for Elastic Nucleon-Nucleus Scattering
• Proton elastic scattering on calcium isotopes from chiral nuclear optical potentials
• Investigating the link between proton reaction cross sections and the quenching of proton spectroscopic factors in ${}^{48}$Ca
• Coupled-channels calculations of nonelastic cross sections using a density-functional structure model
• Towards a Microscopic Reaction Description Based on Energy-Density-Functional Structure Models
• Microscopic investigation of the ${}^8$Li($n,\gamma$)${}^9$Li reaction
• SWANLOP : Scattering waves off nonlocal optical potentials in the presence of Coulomb interactions
• Ab initio translationally invariant nucleon-nucleus optical potentials
• Irreducible nonlocality of optical model potentials based on realistic NN interactions
• Ab initio single-neutron spectroscopic overlaps in lithium isotopes