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Improving the convergence of the chiral expansion for nuclear forces - II: Low phases and the deuteron

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Abstract.

Recently, we have proposed a new cut-off scheme for pion loop integrals in the two-pion exchange potential. This method allows for a consistent implementation of constraints from pion-nucleon scattering and has been successfully applied to peripheral nucleon-nucleon partial waves. We now consider low partial waves in the non-perturbative regime, where the regularized Lippmann-Schwinger equation has to be solved in order to generate the bound and scattering states. We observe an improved description of most of the phase shifts when going from next-to- to next-to-next-to-leading order in the chiral expansion. We also find a good description of the deuteron properties. In addition, the new cut-off scheme allows to avoid the presence of unphysical deeply bound states. We discuss the cut-off dependence of the four-nucleon low-energy constants and show that their numerical values can be understood in terms of resonance saturation. This connects the effective field theory approach to boson exchange phenomenology.

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Authors and Affiliations

  1. Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44870, Bochum, Germany

    E. Epelbaum & W. Glöckle

  2. Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), Universität Bonn, Nußallee 14-16, D-53115, Bonn, Germany

    U.-G. Meißner

  3. Jefferson Laboratory, VA 23606, Newport News, USA

    E. Epelbaum

Authors
  1. E. Epelbaum
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  2. W. Glöckle
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  3. U.-G. Meißner
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Correspondence to E. Epelbaum.

Additional information

Communicated by V. Vento

Received: 11 August 2003, Revised: 23 September 2003, Published online: 20 January 2004

PACS:

13.75.Cs Nucleon-nucleon interactions (including antinucleons, deuterons, etc.) - 21.30.-x Nuclear forces - 12.39.Fe Chiral Lagrangians

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Epelbaum, E., Glöckle, W. & Meißner, UG. Improving the convergence of the chiral expansion for nuclear forces - II: Low phases and the deuteron. Eur. Phys. J. A 19, 401–412 (2004). https://doi.org/10.1140/epja/i2003-10129-8

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