Subtractive renormalization of chiral effective theory NN potentials up to next-to-next-to leading order

Jerry Yang, Ohio University

We have developed a subtractive renormalization method with which we can evaluate NN scattering phase shifts produced by the NN potential obtained at leading, next-to-leading, and next-to-next-to-leading order (NNLO) in the chiral effective theory. In this method the low-energy constants associated with short-distance NN physics are eliminated from the Lippmann-Schwinger equation (LSE) for the NN t-matrix, in favor of physical observables. This allows to straightforwardly compute scattering phase shifts for ultra-violet cutoffs of at least 10 GeV. We then perform detailed analyses of several renormalization issues and determine the maximum cutoff at which the use of an effective field NN potential in the LSE makes sense. The application to the deuteron electro-disintegration process is also discussed.