Bootstrapping the statistical uncertainties of NN scattering data

Abstract

We use the Monte Carlo bootstrap as a method to simulate pp and np scattering data below pion production threshold from an initial set of over 6700 experimental mutually $3\sigma$ consistent data. We compare the results of the bootstrap, with 1020 statistically generated samples of the full database, with the standard covariance matrix method of error propagation. No significant differences in scattering observables and phase shifts are found. This suggests alternative strategies for propagating errors of nuclear forces in nuclear structure calculations.

arXiv comment5 pages, 3 figures

References in corpus (17)

• An accurate nucleon-nucleon potential with charge-independence breaking
• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Construction of high-quality Nucleon-Nucleon potential models
• Nuclear Energy Density Optimization
• An optimized chiral nucleon-nucleon interaction at next-to-next-to-leading order
• Error Estimates of Theoretical Models: a Guide
• Bethe-Salpeter Approach for Unitarized Chiral Perturbation Theory
• Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV
• Coarse grained Potential analysis of neutron-proton and proton-proton scattering below pion production threshold
• Statistical Error analysis of Nucleon-Nucleon phenomenological potentials
• Renormalization of chiral two-pion exchange NN interactions. Momentum vs. coordinate space
• Partial Wave Analysis of Nucleon-Nucleon Scattering below pion production threshold
• Coarse grained NN potential with Chiral Two Pion Exchange
• Error estimates for pi-pi scattering threshold parameters in Chiral Perturbation Theory to two loops
• Phenomenological High Precision Neutron-Proton Delta-Shell Potential
• Coarse graining Nuclear Interactions
• Error Analysis of Nuclear Matrix Elements

Cited by in corpus (17)

• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• Quantified Gamow Shell Model interaction for $psd$-shell nuclei
• Impact of statistical uncertainties on the composition of the outer crust of a neutron star
• $\alpha$ Decay Half-life Estimation and Uncertainty Analysis
• Proton scalar dipole polarizabilities from real Compton scattering data, using fixed-t subtracted dispersion relations and the bootstrap method
• Energy dependence of the optical potential of the weakly bound 9Be projectile on the 197Au target
• An introduction to Bootstrap for nuclear physics
• Statistical error propagation in ab initio no-core full configuration calculations of light nuclei
• Is the unusual near-threshold potential behavior in elastic scattering of weakly bound nuclei a precision error?
• Model discrimination in pseudoscalar-meson photoproduction
• ${\pi }^{-}p\to {\eta }^{(\prime )}{\pi }^{-}p$ in the double-Regge region
• Coarse graining of NN inelastic interactions up to 3 GeV:Repulsive vs Structural core
• Binding in light nuclei: Statistical NN uncertainties vs Computational accuracy
• The falsification of Chiral Nuclear Forces
• The role of meson interactions in the $D_s^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}\eta$ decay
• The Falsification of Nuclear Forces
• Impact of error analysis on the composition the outer crust of a neutron star