Coarse-grained NN potential with chiral two-pion exchange

We determine the chiral constants of the nucleon-nucleon two-pion exchange potential deduced from chiral perturbation theory. By using a coarse-grained representation of the short-distance interactions with 30 parameters, the partial wave analysis fit gives chi(2) /nu = 1.07 to a mutually consistent set of 6713 data previously built from all proton-proton and neutron-proton scattering data published from 1950 to 2013 with laboratory energies below 350 MeV. We obtain (c(1), c(3), c(4)) = (-0.41 +/- 1.08, -4.66 +/- 0.60, 4.31 +/- 0.17) GeV-1 with an almost 100% anticorrelation between c(1) and c(3). We also provide the errors in the short-distance parameters and propagate them to the deuteron properties and low partial wave phase shifts.