Triton binding energy with realistic precision

Abstract

We compute the binding energy of triton with realistic statistical errors stemming from NN scattering data uncertainties and the deuteron and obtain $E_t=-7.638(15)\mathrm{MeV}$. Setting the numerical precision as $\Delta E_t^{\mathrm{num}}\lesssim 1\mathrm{keV}$ we obtain the statistical error $\Delta E_t^{\mathrm{stat}}=15(1)\mathrm{keV}$ which is mainly determined by the channels involving relative S-waves. This figure reflects the uncertainty of the input NN data, more than two orders of magnitude larger than the experimental precision $\Delta E_t^{\exp }=0.1\mathrm{keV}$ and provides a bottleneck in the realistic precision that can be reached. This suggests an important reduction in the numerical precision and hence in the computational effort.

4 pages, 1 figure, 1 table

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