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

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

2009-09-29

arxiv.org/abs/0909.5414v1

Physics

Nuclear Physics

Nuclear Theory

9 pages, 5 figures

Scientific paper

We have developed a subtractive renormalization method with which we can evaluate nucleon-nucleon (NN) scattering phase shifts produced by the NN potential obtained at leading, next-to-leading, and next-to-next-to-leading order (NNLO) in chiral effective theory ($\chi$ET). 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 us to straightforwardly compute scattering phase shifts for ultra-violet cutoffs of at least 10 GeV. We then perform detailed analyses of the maximum cutoff at which the use of a $\chi$ET NN potential in the LSE makes sense.

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