2 research outputs found
The complete quantification of parametric uncertainties in (d,p) transfer reactions
Previous work quantified the uncertainty associated with the optical
potentials between the nucleons and the target. In this study, we extend that
work by also including the parameters of the mean field associated with the
overlap function of the final bound state, thus obtaining the full parametric
uncertainty on transfer observables. We use Bayesian Markov Chain Monte Carlo
simulations to obtain parameter posterior distributions. We use
elastic-scattering cross sections to constrain the optical potential parameters
and use the asymptotic normalization coefficient of the final state to
constrain the bound state interaction. We then propagate these posteriors to
the transfer angular distributions and obtain confidence intervals for this
observable. We study (d,p) reactions on 14C, 16O, and 48Ca at energies in the
range E=10-24 MeV. Our results show a strong reduction in uncertainty by using
the asymptotic normalization coefficient as a constraint, particularly for
those reactions most sensitive to ambiguities in the mean-field. For those
reactions, the importance of constraining the bound state interaction is equal
to that of constrain the optical potentials. The case of 14C is an outlier
because it populates a halo state, and the observable is less sensitive to the
nuclear interior. We conclude that when minimal constraints are used on the
parameters of the nucleon-target interaction, the 68% confidence interval
uncertainties on the differential cross sections are very large (~ 140-185%).
However, if elastic-scattering data and the asymptotic normalization
coefficient are used in the analysis, with an error of 10% (5%), this
uncertainty reduces to ~30% (~15%)