Triton binding energies for modern NN forces and the π-π exchange three-nucleon force

We present high precision calculations for the triton binding energy using the most recent, phase equivalent realistic nucleon-nucleon (NN) potentials and the Tucson-Melbourne π-π three-nucleon force (3NF). That 3NF is included up to a total two-body angular momentum of jmax = 6. It is shown that the inclusion of the 3NF slows down the convergence in the partial waves and jmax = 5 is needed in order to achieve converged results within a few keV. We adjust the cut-off parameter Λ in the form factors of the Tucson-Melbourne 3NF separately for the different NN potentials to the triton binding energy. This provides a set of phenomenological 3N Hamiltonians which can be tested in three-nucleon scattering and systems with A > 3. Their NN correlation functions are compared to each other.