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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.20064 |
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| _version_ | 1866914868666302464 |
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| author | Draper, Zachary T. Sharpe, Stephen R. |
| author_facet | Draper, Zachary T. Sharpe, Stephen R. |
| contents | We generalize previous three-particle finite-volume formalisms to allow for multiple three-particle channels. For definiteness, we focus on the two-channel $ηππ$ and $K \overline K π$ system in isosymmetric QCD, considering the positive $G$ parity sector of the latter channel, and neglecting the coupling to modes with four or more particles. The formalism we obtain is thus appropriate to study the $b_1(1235)$ and $η(1295)$ resonances. The derivation is made in the generic relativistic field theory approach using the time-ordered perturbation theory method. We study how the resulting quantization condition reduces to that for a single three-particle channel when one drops below the upper ($K\overline K π$) threshold. We also present parametrizations of the three-particle K matrices that enter into the formalism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_20064 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Three-particle formalism for multiple channels: the $ηππ+ K \overline K π$ system in isosymmetric QCD Draper, Zachary T. Sharpe, Stephen R. High Energy Physics - Phenomenology High Energy Physics - Lattice We generalize previous three-particle finite-volume formalisms to allow for multiple three-particle channels. For definiteness, we focus on the two-channel $ηππ$ and $K \overline K π$ system in isosymmetric QCD, considering the positive $G$ parity sector of the latter channel, and neglecting the coupling to modes with four or more particles. The formalism we obtain is thus appropriate to study the $b_1(1235)$ and $η(1295)$ resonances. The derivation is made in the generic relativistic field theory approach using the time-ordered perturbation theory method. We study how the resulting quantization condition reduces to that for a single three-particle channel when one drops below the upper ($K\overline K π$) threshold. We also present parametrizations of the three-particle K matrices that enter into the formalism. |
| title | Three-particle formalism for multiple channels: the $ηππ+ K \overline K π$ system in isosymmetric QCD |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2403.20064 |