Two-pion exchange contributions to the relativistic chiral nuclear force at N$^3$LO
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909917586128896 |
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| author | Lu, Jun-Xu Geng, Li-Sheng |
| author_facet | Lu, Jun-Xu Geng, Li-Sheng |
| contents | We present the two-pion exchange contributions to the nucleon-nucleon interaction up to next-to-next-to-next-to leading order (N$^3$LO) in covariant baryon chiral perturbation theory. Both one-loop and two-loop diagrams are calculated with the spectral functional regularization. We show that the phase shifts for partial waves with total angular momentum $3\le J\le 5$ are in better agreement with the partial wave analysis from the Nijmegen or the SAID group than their N$^2$LO counterparts. In addition, the relativistic chiral force exhibits better convergence than its non-relativistic counterpart, suggesting the importance of relativistic corrections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_18023 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two-pion exchange contributions to the relativistic chiral nuclear force at N$^3$LO Lu, Jun-Xu Geng, Li-Sheng Nuclear Theory High Energy Physics - Phenomenology Nuclear Experiment We present the two-pion exchange contributions to the nucleon-nucleon interaction up to next-to-next-to-next-to leading order (N$^3$LO) in covariant baryon chiral perturbation theory. Both one-loop and two-loop diagrams are calculated with the spectral functional regularization. We show that the phase shifts for partial waves with total angular momentum $3\le J\le 5$ are in better agreement with the partial wave analysis from the Nijmegen or the SAID group than their N$^2$LO counterparts. In addition, the relativistic chiral force exhibits better convergence than its non-relativistic counterpart, suggesting the importance of relativistic corrections. |
| title | Two-pion exchange contributions to the relativistic chiral nuclear force at N$^3$LO |
| topic | Nuclear Theory High Energy Physics - Phenomenology Nuclear Experiment |
| url | https://arxiv.org/abs/2511.18023 |