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 N$\Delta$-, $\Delta$N- and $\Delta \Delta$-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 $NN\to NN$ contact potential and contribute up to next-to-leading order to $S$- and $P$-waves of NN scattering only. The influence of the $\Delta$-isobar dynamics entering through the coupled channels is studied in detail.

33 pages, 11 figures

References in corpus (6)

• 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
• Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering
• Scattering of decuplet baryons in chiral effective field theory
• Three-Nucleon Forces

Cited by in corpus (1)

• Signatures of the $\Delta$ isobar in spin observables of ${}^3\mathrm{He}$ electrodisintegration