Implementing the RFT finite-volume formalism for three pions across all non-maximal isospins
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866915051243307008 |
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| author | Alotaibi, Athari Hansen, Maxwell T. |
| author_facet | Alotaibi, Athari Hansen, Maxwell T. |
| contents | We present a numerical investigation of the relativistic-field-theoretic (RFT) formalism, used to predict the discrete energy spectrum of three pions in a finite volume. Applying the previously derived generalization, we extract results for all non-maximal isospin values ($I_{πππ} = 2,1,$ and $0$), for different total momenta $\boldsymbol{P}$, and for various irreducible representations of the finite-volume symmetry group. We restrict attention to the unphysical scenario in which the three-particle interactions are set to zero. This set-up thus serves as a baseline for future lattice QCD calculations that will aim to extract such three-body interactions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05060 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Implementing the RFT finite-volume formalism for three pions across all non-maximal isospins Alotaibi, Athari Hansen, Maxwell T. High Energy Physics - Lattice We present a numerical investigation of the relativistic-field-theoretic (RFT) formalism, used to predict the discrete energy spectrum of three pions in a finite volume. Applying the previously derived generalization, we extract results for all non-maximal isospin values ($I_{πππ} = 2,1,$ and $0$), for different total momenta $\boldsymbol{P}$, and for various irreducible representations of the finite-volume symmetry group. We restrict attention to the unphysical scenario in which the three-particle interactions are set to zero. This set-up thus serves as a baseline for future lattice QCD calculations that will aim to extract such three-body interactions. |
| title | Implementing the RFT finite-volume formalism for three pions across all non-maximal isospins |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2412.05060 |