Abstract

Time reversal violation (TRV) sources in fundamental theories induce interactions between nucleons which can be revealed by looking at the presence of permanent electric dipole moments (EDM) of light nuclei. By using the chiral effective filed theory ($\chi$EFT) it is possible to connect the nuclear observables to the fundamental terms which induce TRV. In this work we derive the TRV nucleon-nucleon and three-nucleon potential up to next-to-next-to leading order (N2LO) by using $\chi$EFT. The TRV interaction is then used to evaluate the EDM of ${}^3$H and ${}^3$He focusing in particular on the calculation of the theoretical errors and the convergence of the chiral expansion.

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