Low momentum nucleon-nucleon potential and shell model effective interactions

A low momentum nucleon-nucleon (NN) potential Vlow-k is derived from meson exchange potentials by integrating out the model dependent high momentum modes of V-NN. The smooth and approximately unique Vlow-k is used as input for shell model calculations instead of the usual Brueckner G matrix. Such an approach eliminates the nuclear mass dependence of the input interaction one finds in the G matrix approach, allowing the same input interaction to be used in different nuclear regions. Shell model calculations of O-18, Te-134, and I-135 using the same input Vlow-k have been performed. For cut-off momentum Lambda in the vicinity of 2 fm(-1), our calculated low-lying spectra for these nuclei are in good agreement with experiments, and are weakly dependent on Lambda.