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

ORAL

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 $NLO$, $NN$ 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.

*This work was supported in part by the U.S. Department of Energy under Grant No. DE-FG02-03ER41270. The work of D. R. E. was funded by the Ministerio de Ciencia y Tecnolog under Contract No. FPA2010- 21750-C02-02 and the European Community-Research

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Authors

  • Ehab Marji

    • College of Western Idaho, Nampa, Idaho 83653, USA

  • Amrah Canul

    • Department of Physics, University of Idaho, Moscow, Idaho 83844, USA

  • Quinn MacPherson

    • Department of Physics, University of Idaho, Moscow, Idaho 83844, USA

  • Rebecca Winzer

    • Department of Physics, University of Idaho, Moscow, Idaho 83844, USA

  • Christopher Zeoli

    • Department of Physics, Florida State University, Tallahassee, Florida 32306, USA

  • David Entem

    • Universidad de Salamanca, E-37008 Salamanca, Spain

  • Ruprecht Machleidt

    • Department of Physics, University of Idaho, Moscow, Idaho 83844, USA