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.

5 pages, 3 figures

References in corpus (3)

• Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV
• Statistical Error analysis of Nucleon-Nucleon phenomenological potentials
• Renormalization of chiral two-pion exchange NN interactions. Momentum vs. coordinate space

Cited by in corpus (5)

• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• Quantified Gamow Shell Model interaction for $psd$-shell nuclei
• 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
• Coarse graining of NN inelastic interactions up to 3 GeV:Repulsive vs Structural core