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arXiv · 0909.5414

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

C. -J. Yang·Ch. Elster·D. R. Phillips
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Abstract

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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C. -J. Yang, Ch. Elster, D. R. Phillips. 2009-09-29. Subtractive renormalization of chiral effective theory NN potentials up to next-to-next-to-leading order. https://arxiv.org/abs/0909.5414

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