Realistic NN Interactions in Momentum Space - Visual Comparisons

It is challenging to gain physical intuition for non-local operators such as realistic NN interactions. In addition, whenever one truncates a local operator, such as approximating it in a finite matrix representation, one introduces non-locality. We portray contour plots in momentum space of the realistic NN interaction, JISP16 [1], as well as the identity operator and the kinetic energy operator truncated to a finite oscillator basis space. We present results as a function of the cutoff scale and compare with similar plots of the Chiral N3LO interaction [2] processed through the Similarity Renormalization Group (SRG) [3]. We visually search for well-matched features as a function of the renormalization scale as well as through the calculated nuclear properties resulting from these interactions [4]. A selection of these comparisons will be presented. \newline \newline [1] A.M. Shirokov, J. P. Vary, A. I. Mazur and T. A. Weber, Phys. Letts. B {\bf 644}, 33 (2007). \newline [2] D. R. Entem and R. Machleidt, Phys. Rev. C {\bf 68}, 04100R (2003). \newline [3] R. Furnstahl, www.physics.ohio-state.edu/$\sim$ntg/srg/ \newline [4] S. K. Bogner, R. J. Furnstahl, P. Maris, R. J. Perry, A. Schwenk, J. P. Vary, arXiv:0708.3754, Nuc. Phys. A (to appear).