Nucleon-nucleon scattering with coupled nucleon-delta channels in chiral effective field theory

Abstract

In this work the elastic scattering of two nucleons is calculated in chiral effective field theory at next-to-leading order taking into account the coupled NΔ-, ΔN- and ΔΔ-channels. To solve the coupled channel scattering equation one needs as input the potentials for all combinations of these initial and final states. Up to next-to leading order these (transition) potentials arise from one-pion exchange, two-pion exchange and contact interactions. For the two-pion exchange we give analytic expressions for the spectral functions derived from all contributing one-loop diagrams. The forms of the contact potentials at leading and next-to-leading order are determined. We perform a fit of the low energy constants, that belong to the NN→NN contact potential and contribute up to next-to-leading order to S- and P-waves of NN scattering only. The influence of the Δ-isobar dynamics entering through the coupled channels is studied in detail.