Counter Terms for Low Momentum Nucleon-Nucleon Interactions

摘要

There is much current interest in treating low energy nuclear physics using the renormalization group (RG) and effective field theory (EFT). Inspired by this RG-EFT approach, we study a low-momentum nucleon-nucleon (NN) interaction, V_{low-k}, obtained by integrating out the fast modes down the scale ~2fm^{-1}. Since NN experiments can only determine the effective interaction in the low momentum region, our chief purpose is to find such an interaction for complex nuclei whose typical momenta lie below this scale. In this paper we find that V_{low-k} can be satisfactorily accounted for by the counter terms suggested by the RG-EFT approach. The coefficients for the counter terms of the form C_n*k^n (n=0,2,4,...) have been accurately determined and results derived from several meson-exchange NN interaction models are compared. Finally we discuss the use of these methods for computing shell model matrix elements and compare the results using V_{low-k} to those obtained witht he Sussex interaction.