The Faddeev equations are solved in momentum space for the trinucleon bound state with the new Tucson-Melbourne π and ρ exchange three-nucleon potentials. The three-nucleon potentials are combined with a variety of realistic two-nucleon potentials. The dependence of the triton binding energy on the πN N cut-off parameter in the three-nucleon potentials is studied and found to be reduced compared to the case with pure π exchange. The ρ exchange parts of the three-nucleon potential yield an overall repulsive effect. When the recommended parameters are employed, the calculated triton binding energy turns out to be very close to its experimental value. Expectation values of various components of the three-nucleon potential are given to illustrate their significance for binding.
%'ave-function components containing a single 6 isobar are included in the calculation of the three-nucleon bound state. In extension to previous work, a nucleon-b, potential based on meson exchange is incorporated in the interaction models. The interaction models are constructed phase equivalent with the purely nucleonic Paris and Bonn one boson exchange potential in q space (OBEPQ) potentials. The nucleon-i) potential yields an additional contribution of the order of 0.1-0.2 MeV to the effective three-nucleon force. Its effect on the electromagnetic properties of the three-nucleon bound state is also considered and found to be small.
Theoretical predictions for the deuteron and the isoscalar trinucleon charge form factors are compared. Correlations between them are found. Linear relations hold for the position of the diffraction minimum and for the position and height of the secondary maximum. The linear relation for the diffraction minimum misses the experimental data.
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