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- W4385483912 abstract "Background: Deuteron-induced transfer reactions are a popular probe in nuclear structure and nuclear astrophysics studies. The interpretation of these transfer measurements relies on reaction theory that takes as input effective interactions between the nucleons and the target nucleus.Purpose: 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.Method: 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.Results: We study $(d,p)$ reactions on $^{14}mathrm{C}$, $^{16}mathrm{O}$, and $^{48}mathrm{Ca}$ at energies in the range ${E}_{d}=7ensuremath{-}24$ 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 constraining the optical potentials. The case of $^{14}mathrm{C}$ is an outlier because the cross section is less sensitive to the nuclear interior.Conclusions: When minimal constraints are used on the parameters of the nucleon-target interaction, the $1ensuremath{sigma}$ uncertainties on the differential cross sections are large ($ensuremath{approx}50text{--}100%$). 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 $ensuremath{approx}30%$ ($ensuremath{approx}15%$)." @default.
- W4385483912 created "2023-08-03" @default.
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- W4385483912 date "2023-08-02" @default.
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- W4385483912 title "Complete quantification of parametric uncertainties in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>,</mml:mo><mml:mi>p</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math> transfer reactions" @default.
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- W4385483912 doi "https://doi.org/10.1103/physrevc.108.024601" @default.
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