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Three-pion exchange nucleon-nucleon potentials with virtual $\Delta$-isobar excitation

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arxiv 1504.05131 v1 pith:QGNEMN4F submitted 2015-04-20 nucl-th

classification nucl-th
keywords deltaexchangeexcitationcentralisoscalarnucleon-nucleonpotentialsspectral-functions
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abstract

The nucleon-nucleon interaction arising from the exchange of three pions and the excitation of $\Delta(1232)$-isobars in intermediate states is studied. Approximating the $\Delta$-propagator by the inverse $\Delta$N mass-splitting, analytical expressions are derived for the spectral-functions of the isoscalar and isovector central, spin-spin and tensor NN-potentials in momentum-space. A trans- lation of the spectral-functions into coordinate-space potentials reveals that the main effect of these specific exchange and excitation mechanisms is a repulsive isoscalar central NN-potential.

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Cited by 1 Pith paper

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  1. Relativistic chiral nuclear forces: status and prospects

    nucl-th 2025-01 conditional novelty 2.0 of 10

    A review of the relativistic chiral nuclear force, presenting the Beihang group's own NNLO results for nucleon-nucleon scattering and promising faster convergence than the standard Weinberg approach.

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