Benchmark calculation of p- H 3 and n- He 3 scattering

p-H3 and n-He3 scattering in the energy range above the n-He3 but below the d-d thresholds is studied by solving the four-nucleon problem with a realistic nucleon-nucleon interaction. Three different methods - Alt, Grassberger, and Sandhas, hyperspherical harmonics, and Faddeev-Yakubovsky - have been employed and their results for both elastic and charge-exchange processes are compared. We observe a good agreement between the three different methods, thus the obtained results may serve as a benchmark. A comparison with the available experimental data is also reported and discussed.