Chiral $3π$-exchange potential using the method of unitary transformation
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909600885768192 |
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| author | Springer, Victor Krebs, Hermann Epelbaum, Evgeny |
| author_facet | Springer, Victor Krebs, Hermann Epelbaum, Evgeny |
| contents | Nuclear potentials are known to exhibit a considerable degree of scheme dependence. For one- and two-pion exchange nucleon-nucleon (NN) potentials, unitary ambiguities start showing up at the level of the leading relativistic corrections to the dominant static contributions. However, for the three-pion exchange potential, scheme-dependent contributions are expected to appear already at the static level. Here, we analyze the leading and subleading chiral $3π$-exchange NN potentials using the method of unitary transformation. In line with the expectations, our results for selected classes of contributions differ from those obtained by Kaiser using S-matrix matching. We present analytical expressions for the $3π$-exchange potential, which are off-shell consistent with the interactions used by the Bochum group, and discuss the numerical importance of the observed differences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02034 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Chiral $3π$-exchange potential using the method of unitary transformation Springer, Victor Krebs, Hermann Epelbaum, Evgeny Nuclear Theory Nuclear potentials are known to exhibit a considerable degree of scheme dependence. For one- and two-pion exchange nucleon-nucleon (NN) potentials, unitary ambiguities start showing up at the level of the leading relativistic corrections to the dominant static contributions. However, for the three-pion exchange potential, scheme-dependent contributions are expected to appear already at the static level. Here, we analyze the leading and subleading chiral $3π$-exchange NN potentials using the method of unitary transformation. In line with the expectations, our results for selected classes of contributions differ from those obtained by Kaiser using S-matrix matching. We present analytical expressions for the $3π$-exchange potential, which are off-shell consistent with the interactions used by the Bochum group, and discuss the numerical importance of the observed differences. |
| title | Chiral $3π$-exchange potential using the method of unitary transformation |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2505.02034 |