The Low energy structure of the Nucleon-Nucleon interaction: Statistical vs Systematic Uncertainties

R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola

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classification ⚛️ nucl-th nucl-ex

keywords uncertaintiesparametersstatisticalsystematicenergyinteractionthresholdamplitude

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We analyze the low energy NN interaction by confronting statistical vs systematic uncertainties. This is carried out with the help of model potentials fitted to the Granada-2013 database where a statistically meaningful partial wave analysis comprising a total of $6713$ np and pp published scattering data from 1950 till 2013 below $350 {\rm MeV}$ has been made. We extract threshold parameters uncertainties from the coupled channel effective range expansion up to $j \le 5$. We find that for threshold parameters systematic uncertainties are generally at least an order of magnitude larger than statistical uncertainties. Similar results are found for np phase-shifts and amplitude parameters.

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