Two-pion exchange contributions to the nucleon-nucleon interaction from the Roper resonance

Yang Xiao; Li-Sheng Geng; U. van Kolck

doi:10.1103/l4x9-sr5s

Two-pion exchange contributions to the nucleon-nucleon interaction from the Roper resonance

Yang Xiao ^1,2,3, Li-Sheng Geng ^2,4,5,6,*, and U. van Kolck ^7,8,9,†

¹School of Space and Environment, Beihang University, Beijing 102206, China
²School of Physics, Beihang University, Beijing 102206, China
³Center for Exotic Nuclear Studies, Institute for Basic Science, Daejeon 34126, Republic of Korea
⁴Sino-French Carbon Neutrality Research Center, École Centrale de Pékin/School of General Engineering, Beihang University, Beijing 100191, China
⁵Peng Huanwu Collaborative Center for Research and Education, Beihang University, Beijing 100191, China
⁶Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences, Huizhou 516000, China
⁷European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*), Fondazione Bruno Kessler, 38123 Villazzano, Trento, Italy
⁸Université Paris-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France
⁹Department of Physics, University of Arizona, Tucson, Arizona 85721, USA

^*Contact author: lisheng.geng@buaa.edu.cn
^†Contact author: vankolck@ijclab.in2p3.fr

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Phys. Rev. C 114, 034006 – Published 11 September, 2026

DOI: https://doi.org/10.1103/l4x9-sr5s

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.

Physical Review C

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Two-pion exchange contributions to the nucleon-nucleon interaction from the Roper resonance

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Two-pion exchange contributions to the nucleon-nucleon interaction from the Roper resonance

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