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

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.

12 pages, 9 figures

References in corpus (5)

• Chiral effective field theory and nuclear forces
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• Isospin-breaking two-nucleon force with explicit Delta-excitations

Cited by in corpus (2)

• Nuclear effective field theory: status and perspectives
• Dominant contributions to the nucleon-nucleon interaction at sixth order of chiral perturbation theory