Energy dependence of non-local potentials

Abstract

Recently a variety of studies have shown the importance of including non-locality in the description of reactions. The goal of this work is to revisit the phenomenological approach to determining non-local optical potentials from elastic scattering. We perform a ${\chi }^2$ analysis of neutron elastic scattering data off ${}^{40}$Ca, ${}^{90}$Zr and ${}^{208}$Pb at energies $E\approx 5-40$ MeV, assuming a Perey and Buck or Tian, Pang, and Ma non-local form for the optical potential. We introduce energy and asymmetry dependencies in the imaginary part of the potential and refit the data to obtain a global parameterization. Independently of the starting point in the minimization procedure, an energy dependence in the imaginary depth is required for a good description of the data across the included energy range. We present two parameterizations, both of which represent an improvement over the original potentials for the fitted nuclei as well as for other nuclei not included in our fit. Our results show that, even when including the standard Gaussian non-locality in optical potentials, a significant energy dependence is required to describe elastic-scattering data.

arXiv comment6 pages, 3 figures, accepted by Phys. Rev. C Rapid Communication

References in corpus (11)

• Optical potential from first principles
• Forging the link between nuclear reactions and nuclear structure
• Explicit inclusion of nonlocality in (d,p) transfer reactions
• Nonlocal extension of the dispersive-optical-model to describe data below the Fermi energy
• Non-localities in nucleon-nucleus potentials
• Testing the Perey Effect
• Transfer reaction code with nonlocal interactions
• Sensitivity of (d,p) reactions to high n-p momenta and the consequences for nuclear spectroscopy studies
• Implications for (d,p) reaction theory from nonlocal dispersive optical model analysis of ${}^{40}$Ca(d,p)${}^{41}$Ca
• Examining the effect of nonlocality in $(d,n)$ transfer reactions
• Neutron scattering from 208Pb at 30.4 and 40.0 MeV and isospin dependence of the nucleon optical potential

Cited by in corpus (7)

• Generalizing the calculable $R$-matrix theory and eigenvector continuation to the incoming wave boundary condition
• Rearrangement term in the nonlocal folding model of the nucleon optical potential
• On the separability of microscopic optical model potentials and emerging bell-shape Perey-Buck nonlocality
• Non-local interactions in the $(d,p)$ surrogate method for $(n,\gamma )$ reactions
• Effects of an induced three-body force in the incident channel of (d,p) reactions
• Considering non-locality in the optical potentials within eikonal models
• Existence of the transfer matrix for a class of nonlocal potentials in two dimensions