Speaker: Thomas T. S. Kuo (Department of Physics and Astronomy, Stony Brook University, Stony Brook

Renormalization group approach for effective nucleon-nucleon interaction

Recently there has been much progress in treating low energy nuclear physics using the renormalization group (RG) and effective field theory (EFT) approach. Motivated by this RGEFT approach, we have derived a low-momentum effective NN interaction V_{low-k} by integrating out the high momentum (fast) modes of modern realistic NN potentials V_{NN}. The Kuo-Lee-Ratcliff folded diagram method together with the Andreozzi-Lee-Suzuki iteration method are employed to carry out the integration. Our V_{low-k} is confined within a cut-off scale Lambda. The deuteron binding energy, low-energy phase shifts and half-on-shell T-matrix of V_{NN} are all preserved by V_{low-k}. There are large differences between the various V_{NN} models. But for Lambda within approx. 2 fm^{-1}, the V_{low-k} derived from them are very close to each other, suggesting the existence of a nearly unique V_{low-k}. V_{low-k} is a smooth potential for Lambda in the vicinity of 2 fm^{-1}, and can be used directly in nuclear many-body calculations, without the Brueckner G-matrix. We have applied V_{low-k} to nuclear calculations for both light and heavy nuclei and obtained highly encouraging results. Counter terms for V_{low-k} are discussed.