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

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 ${\chi }^2$ 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.

10 pages, 5 figures

References in corpus (7)

• Chiral effective field theory and nuclear forces
• Improving the convergence of the chiral expansion for nuclear forces II: low phases and the deuteron
• Renormalization of chiral two-pion exchange NN interactions. Momentum vs. coordinate space
• Renormalization of Singular Potentials and Power Counting
• Weinberg's approach to nucleon-nucleon scattering revisited
• Subtractive renormalization of the NN interaction in chiral effective theory up to next-to-next-to-leading order: S waves
• Infinite-cutoff renormalization of the chiral nucleon-nucleon interaction at N3LO

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