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arXiv · 0704.0711

Two-pion exchange three-nucleon potential: O(q^4) chiral expansion

S. Ishikawa·M. R. Robilotta
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Abstract

We present the expansion of the two-pion exchange three-nucleon potential (TPE-3NP) to chiral order q^4, which corresponds to a subset of all possibilities at this order and is based on the \piN amplitude at O(q^3). Results encompass both numerical corrections to strength coefficients of previous O(q^3) terms and new structures in the profile functions. The former are typically smaller than 10% whereas the latter arise from either loop functions or non-local gradients acting on the wave function. The influence of the new TPE-3NP over static and scattering three-body observables has been assessed and found to be small, as expected from perturbative corrections.

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S. Ishikawa, M. R. Robilotta. 2007-04-05. Two-pion exchange three-nucleon potential: O(q^4) chiral expansion. https://doi.org/10.1103/physrevc.76.014006

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