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Effective Field Theory(EFT) is, the unique, model independent and systematiclow-energy version of QCD for processes involving momenta below the pion mass.A low-energy photo-nuclear observable in three-body systems, photonpolarization parameter at thermal neutron energies is calculated by usingpionless EFT up to next-to-next to leading order(N$^2$LO). In order to make acomparative study of this model, we compared our results for photonpolarization parameter with the realistic Argonne $v_{18}$ two-nucleon andUrbana IX or Tucson-Melbourne three-nucleon interactions. Three-body currentsgive small but significant contributions to some of the observables in theneutron-deuteron radiative capture cross section at thermal neutron energies.In this formalism the three-nucleon forces are needed up to N$^2$LO for cut-offindependent results. Our result converges order by order in low energyexpansion and also cut-off independent at this order.

Neutron-Deuteron System and Photon Polarization Parameter at Thermal Neutron Energies