Chiral uncertainties in ab initio nucleon-nucleus elastic scattering

Abstract

The effective interaction between a nucleon and a nucleus is one of the most important ingredients for reaction theories. Theoretical formulations were introduced early by Feshbach and Watson, and efforts of deriving and computing those `optical potentials' in a microscopic fashion have a long tradition. However, only recently the leading order term in the Watson multiple scattering approach could be calculated fully {\it ab initio}, meaning that the same nucleon-nucleon (NN) interaction enters both the structure as well as the reaction pieces on equal footing. This allows the uncertainties from the underlying chiral effective NN interaction to be systematically explored in nucleon-nucleus elastic scattering observables. In this contribution the main ingredients for arriving at the {\it ab initio} leading order of the effective nucleon-nucleus interaction in the Watson approach will be reviewed. Concentrating on one specific chiral NN interaction from the LENPIC collaboration and light nuclei with a 0${}^{+}$ ground state, the leading order nucleon-nucleus interaction is calculated using up to the third chiral order (N2LO) in the nucleon-nucleon potential, and elastic scattering observables are extracted. Then pointwise as well as correlated uncertainty quantification is used for the estimation of the chiral truncation error. Elastic scattering observables for ${}^4$He, ${}^{12}$C, and ${}^{16}$O for between 65 and 200 MeV projectile energy will be analyzed.

arXiv comment14 pages, 11 figures, to appear in Frontiers in Physics

References in corpus (41)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• Self-consistent Green's function method for nuclei and nuclear matter
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• High-quality two-nucleon potentials up to fifth order of the chiral expansion
• An optimized chiral nucleon-nucleon interaction at next-to-next-to-leading order
• Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
• Quantifying truncation errors in effective field theory
• Quantifying Correlated Truncation Errors in Effective Field Theory
• Bayesian truncation errors in chiral effective field theory: nucleon-nucleon observables
• Few-nucleon systems with state-of-the-art chiral nucleon-nucleon forces
• Symmetry-guided large-scale shell-model theory
• Physics of nuclei: Key role of an emergent symmetry
• Light nuclei with semilocal momentum-space regularized chiral interactions up to third order
• Optical potential from first principles
• Ab initio optical potentials and nucleon scattering on medium mass nuclei
• Towards high-order calculations of three-nucleon scattering in chiral effective field theory
• Few- and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces
• Lithium isotopes within the ab intio no-core full configuration approach
• Accelerating Nuclear Configuration Interaction Calculations through a Preconditioned Block Iterative Eigensolver
• Optical potentials for the rare-isotope beam era
• Nucleon-Nucleon Scattering in a Three Dimensional Approach
• Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework
• Ab initio Folding Potentials for Nucleon-Nucleus Scattering based on NCSM One-Body Densities
• Microscopic optical potentials derived from ab initio translationally invariant nonlocal one-body densities
• The Two-Nucleon System in Three Dimensions
• Ab initio Leading Order Effective Potentials for Elastic Nucleon-Nucleus Scattering
• Full-Folding Optical Potentials for Elastic Nucleon-Nucleus Scattering based on Realistic Densities
• Consistent Treatment of Propagator Modifications in Elastic Nucleon-Nucleus Scattering within the Spectator Expansion
• Center-of-mass corrections revisited: a many-body expansion approach
• Application of Multiple Scattering Theory to Lower Energy Elastic Nucleon-Nucleus Reactions
• Ab initio Translationally Invariant Nonlocal One-body Densities from No-core Shell-model Theory
• Impact of Three-Body Forces on Elastic Nucleon-Nucleus Scattering Observables
• On the separability of microscopic optical model potentials and emerging bell-shape Perey-Buck nonlocality
• Ab initio nucleon-nucleus elastic scattering with chiral effective field theory uncertainties
• Translationally invariant matrix elements of general one-body operators
• Nuclear spin features relevant to ab initio nucleon-nucleus elastic scattering

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