Low-momentum nucleon-nucleon interaction and its application to few-nucleon systems -: art. no. 024003

Low-momentum nucleon-nucleon interactions are derived within the framework of a unitary-transformation theory, starting with realistic nucleon-nucleon interactions. A cutoff momentum Lambda is introduced to specify a border between the low- and high-momentum spaces. By Faddeev-Yakubovsky calculations the low-momentum interactions are investigated with respect to the dependence of ground-state energies of H-3 and He-4 on the parameter Lambda. It is found that we need the momentum cutoff parameter Lambdagreater than or equal to5 fm(-1) in order to reproduce satisfactorily the exact values of the binding energies for H-3 and He-4. The calculation with Lambda=2 fm(-1) recommended by Bogner leads to considerable overbinding at least for few-nucleon systems.