Ab initio Folding Potentials for Nucleon-Nucleus Scattering based on NCSM One-Body Densities

Abstract

Calculating microscopic optical potentials for elastic nucleon-nucleus scattering has already led to large body of work in the past. For folding first-order calculations the nucleon-nucleon (NN) interaction and the one-body density of the nucleus were taken as input to rigorous calculations in a spectator expansion of the multiple scattering series. Based on the Watson expansion of the multiple scattering series we employ a nonlocal translationally invariant nuclear density derived from a chiral next-to-next-to-leading order (NNLO) and the very same interaction for consistent full-folding calculation of the effective (optical) potential for nucleon-nucleus scattering for light nuclei. We calculate scattering observables, such as total, reaction, and differential cross sections as well as the analyzing power and the spin-rotation parameter, for elastic scattering of protons and neutrons from ${}^4$He, ${}^6$He, ${}^{12}$C, and ${}^{16}$O, in the energy regime between 100 and 200~MeV projectile kinetic energy, and compare to available data. Our calculations show that the effective nucleon-nucleus potential obtained from the first-order term in the spectator expansion of the multiple scattering expansion describes experiments very well to about 60 degrees in the center-of-mass frame, which coincides roughly with the validity of the NNLO chiral interaction used to calculate both the NN amplitudes and the one-body nuclear density.

arXiv comment10 pages, 14 figures, 1 table

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Cited by in corpus (29)

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• Physics of nuclei: Key role of an emergent symmetry
• Ab initio optical potentials and nucleon scattering on medium mass nuclei
• From bound states to the continuum
• Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework
• Ab initio Leading Order Effective Potentials for Elastic Nucleon-Nucleus Scattering
• Machine learning approach to pattern recognition in nuclear dynamics from the ab initio symmetry-adapted no-core shell model
• Impact of Three-Body Forces on Elastic Nucleon-Nucleus Scattering Observables
• Efficacy of the symmetry-adapted basis for ab initio nucleon-nucleus interactions for light- and intermediate-mass nuclei
• SWANLOP : Scattering waves off nonlocal optical potentials in the presence of Coulomb interactions
• Ab initio translationally invariant nucleon-nucleus optical potentials
• Ground-state properties of light $4n$ self-conjugate nuclei in $ab$ $initio$ no-core Monte Carlo shell model calculations with nonlocal $NN$ interactions
• SS-HORSE Extension of the No-Core Shell Model: Application to Resonances in ${}^7\mathrm{H}e$
• Neutron-deuteron scattering cross-sections with chiral $NN$ interactions using wave-packet continuum discretization
• Elastic Antiproton-Nucleus Scattering from Chiral Forces
• Ab initio nucleon-nucleus elastic scattering with chiral effective field theory uncertainties
• Ab initio single-neutron spectroscopic overlaps in lithium isotopes
• Nuclear spin features relevant to ab initio nucleon-nucleus elastic scattering
• Perey-effect in Continuum-Discretized Coupled-Channel description of $(d,p)$ reactions
• Chiral uncertainties in ab initio nucleon-nucleus elastic scattering
• Scattering Observables from One- and Two-Body Densities: Formalism and Application to $\gamma {}^3$He Scattering
• Ab initio informed 20Ne(p, p$\alpha$)16O reaction elucidates the emergence of alpha clustering from chiral potentials
• The optical potentials and nuclear reaction cross sections for the $n$-${}^{12}$C and $N$-${}^{12}$C scattering
• Coupled-cluster computations of optical potential for medium-mass nuclei
• Spin dependent ab initio nonlocal No-Core Shell-Model One-Body Densities
• Nonlocal structure of the leading order \textit{ab initio} effective potentials for proton elastic scattering from light nuclei
• Prediction of the analyzing power for $\vec{p}$+${}^6$He elastic scattering at 200 MeV from $\vec{p}$+${}^4$He elastic scattering at 200 MeV
• Ab initio folding potentials for proton-nucleus scattering with NCSM nonlocal one-body densities
• Elastic proton scattering off non-zero spin nuclei