Relativistic Faddeev Calculation for Nd Scattering with Kharkov Potential*

Relativity in the three-nucleon (3N) system has been studying under the Bakamjian-Thomas frame,
which belongs to the relativistic quantum mechanics and is dictated by the Poincar\'e algebra. Since a
relativistic two-nucleon (2N) potential is not easily provided, we need some schemes which would allow us to transform a nonrelativistic potential into the corresponding relativistic one. There exists two schemes. On the other hand, the Kharkov model provides directly the relativistic 2N potential.
We would like to present not only the relativistic results of the triton binding energies for the Kharkov
potential but also the Nd elastic scattering observables. Using the CDBonn potential we have investigated the Nd elastic scattering. Although the relativistic calculations show only small effects for
elastic scattering cross sections and practically no effect for spin observables below 150MeV, however,
the effect works in the nucleon-induced deuteron breakup. Beyond 150MeV the difference between
relativistic and nonrelativistic property would be clearly revealed by comparison between the Kharkov
potential and the CDBonn potential.