Abstract.
We study the two-pion exchange potential at next-to-next-to-leading order in chiral effective field theory. We propose a new cut-off scheme for the pion loop integrals based on spectral-function regularization. We show that this method allows for a consistent implementation of constraints from pion-nucleon scattering. It leads to a much improved description of the partial waves with angular momentum \(l \geq 2\) as compared to the calculation utilizing dimensional regularization.
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Communicated by V. Vento
Received: 12 May 2003, Published online: 26 November 2003
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 - I: Peripheral phases. Eur. Phys. J. A 19, 125–137 (2004). https://doi.org/10.1140/epja/i2003-10096-0
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DOI: https://doi.org/10.1140/epja/i2003-10096-0