Contact operators in renormalization of attractive singular potentials
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910706545197056 |
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| author | Peng, Rui Long, Bingwei Xu, Fu-Rong |
| author_facet | Peng, Rui Long, Bingwei Xu, Fu-Rong |
| contents | We discuss renormalization of chiral nuclear forces in the 3P0 channel of N N scattering at next- to-next-to leading order (N2LO) if the one-pion exchange is treated nonperturbatively at leading order. The matrix elements of the subleading contact potentials become nearly dependent of each other for the so-called exceptional ultraviolet momentum cutoff, making it difficult to determine the strengths of those contact potentials from the empirical phase shifts, as reported in Ref. [1]. We argue that this issue can be resolved by adjusting the strategy by which the low-energy constants are deduced from the data, thus making those exceptional cutoffs amenable to chiral effective field theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_08342 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Contact operators in renormalization of attractive singular potentials Peng, Rui Long, Bingwei Xu, Fu-Rong Nuclear Theory We discuss renormalization of chiral nuclear forces in the 3P0 channel of N N scattering at next- to-next-to leading order (N2LO) if the one-pion exchange is treated nonperturbatively at leading order. The matrix elements of the subleading contact potentials become nearly dependent of each other for the so-called exceptional ultraviolet momentum cutoff, making it difficult to determine the strengths of those contact potentials from the empirical phase shifts, as reported in Ref. [1]. We argue that this issue can be resolved by adjusting the strategy by which the low-energy constants are deduced from the data, thus making those exceptional cutoffs amenable to chiral effective field theory. |
| title | Contact operators in renormalization of attractive singular potentials |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2407.08342 |