Charge-symmetry breaking and the two-pion-exchange two-nucleon interaction

Charge-symmetry breaking in the nucleon-nucleon force is investigated within an effective field theory, using a classification of isospin-violating interactions based on power-counting arguments. The relevant charge-symmetry-breaking interactions corresponding to the first two orders in the power counting are discussed, including their effects on the ${}^3\mathrm{He}{-}^3\mathrm{H}$ binding-energy difference. The static charge-symmetry-breaking potential linear in the nucleon-mass difference is constructed using chiral perturbation theory. Explicit formulas in momentum and configuration spaces are presented. The present work completes previously obtained results.