Implementing the finite-volume three-pion scattering formalism across all non-maximal isospins
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866918125713227776 |
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| author | Alotaibi, Athari Hansen, Maxwell T. Briceño, Raúl A. |
| author_facet | Alotaibi, Athari Hansen, Maxwell T. Briceño, Raúl A. |
| contents | We present a numerical exploration of the relativistic-field-theory (RFT) formalism for three pions with all possible values of non-maximal isospin, $I_{πππ} = 2$, $1$ and $0$. Using the generic-isospin extension of the RFT formalism and applying our open-source Python library to implement the framework, we predict a range of three-pion energies for illustrative values of the two-to-two scattering amplitudes for various finite-volume irreps also with non-zero total momentum $\boldsymbol P$ in the finite-volume frame. The results restrict attention to the case of a vanishing intrinsic three-body interaction so that the spectra can be understood as a baseline. In future lattice QCD calculations, deviations from these values will be translated into evidence for intrinsic three-body effects in the various scattering channels. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_11627 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Implementing the finite-volume three-pion scattering formalism across all non-maximal isospins Alotaibi, Athari Hansen, Maxwell T. Briceño, Raúl A. High Energy Physics - Lattice High Energy Physics - Phenomenology We present a numerical exploration of the relativistic-field-theory (RFT) formalism for three pions with all possible values of non-maximal isospin, $I_{πππ} = 2$, $1$ and $0$. Using the generic-isospin extension of the RFT formalism and applying our open-source Python library to implement the framework, we predict a range of three-pion energies for illustrative values of the two-to-two scattering amplitudes for various finite-volume irreps also with non-zero total momentum $\boldsymbol P$ in the finite-volume frame. The results restrict attention to the case of a vanishing intrinsic three-body interaction so that the spectra can be understood as a baseline. In future lattice QCD calculations, deviations from these values will be translated into evidence for intrinsic three-body effects in the various scattering channels. |
| title | Implementing the finite-volume three-pion scattering formalism across all non-maximal isospins |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2508.11627 |