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

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

2007-04-05

arxiv.org/abs/0704.0711v1

Phys.Rev.C76:014006,2007

Physics

Nuclear Physics

Nuclear Theory

29 pages, 7 figures

Scientific paper

10.1103/PhysRevC.76.014006

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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