Nuclear charge symmetry breaking and the3H−3He binding energy difference

We study the ${}_{}{}^3{}_{}{}^{}$H${\mathrm{-}\mathrm{}}^3$He binding energy difference, taking into account the Coulomb interaction and charge symmetry breaking of the nuclear force consistent with recent NN experimental data. Realistic interactions are generated which describe the charge symmetry violations reflected in the different nucleon-nucleon scattering lengths. The influence of nuclear charge symmetry breaking on the perturbative Coulomb contribution to the ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ binding energy is discussed. It is shown that the experimental mass difference can be explained by these and theoretical estimates of other known effects.