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arXiv · 1309.5114

Nonperturbative renormalization of the chiral nucleon-nucleon interaction up to next-to-next-to-leading order

E. Marji·A. Canul·Q. MacPherson·R. Winzer·Ch. Zeoli·D. R. Entem·R. Machleidt
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Abstract

We study the nonperturbative renormalization of the nucleon-nucleon (NN) interaction at next-to-leading order (NLO) and next-to-next-to-leading order (NNLO) of chiral effective field theory. A systematic variation of the cutoff parameter is performed for values below the chiral symmetry breaking scale of about 1 GeV. The accuracy of the predictions is determined by calculating the $χ^2$ for the reproduction of the NN data for energy intervals below pion-production threshold. At NLO, the NN data are described well up to about 100 MeV laboratory energy and, at NNLO, up to about 200 MeV---with, essentially, cutoff independence for cutoffs between about 450 and 850 MeV.

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E. Marji, A. Canul, Q. MacPherson, R. Winzer, Ch. Zeoli, D. R. Entem, R. Machleidt. 2013-09-19. Nonperturbative renormalization of the chiral nucleon-nucleon interaction up to next-to-next-to-leading order. https://doi.org/10.1103/physrevc.88.054002

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