Two-pion exchange contributions to the nucleon-nucleon interaction from the Roper resonance
Abstract
We derive the long-range components of the nucleon-nucleon (NN) two-pion-exchange potential with an intermediate Roper resonance. Leading-order interactions in heavy-baryon chiral perturbation theory are considered. To assess the Roper contributions in a unified framework, we include the leading contributions from the Delta resonance, as well as mixed Delta-Roper effects. NN phase shifts with orbital angular momentum $L\geq 2$ are calculated in first-order perturbation theory and compared to those obtained without the Roper resonance. We find that the Delta sets the dominant scale of the resonance-induced corrections, while the Roper-dependent effects are smaller, strongly channel dependent, and most visible in the $D$ waves.
Fields of Study & Subjects
Quantum Chromodynamics and Particle Interactions
Nuclear physics research studies
Particle physics theoretical and experimental studies
Publication details
- Journal / source
- Physical Review C
- Volume
- 114
- Issue
- 3
- Pages
- 034006
- Publication date
- 20 August 2026
- Language
- EN