Incorporating $DDπ$ effects and left-hand cuts in lattice QCD studies of the $T_{cc}(3875)^+$
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929370777518080 |
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| author | Hansen, Maxwell T. Romero-López, Fernando Sharpe, Stephen R. |
| author_facet | Hansen, Maxwell T. Romero-López, Fernando Sharpe, Stephen R. |
| contents | We generalize the relativistic field-theoretic three-particle finite-volume scattering formalism to describe generic $DDπ$ systems in the charm $C=2$ sector. This includes the isospin-0 channel, in which the recently discovered doubly-charmed tetraquark $T_{cc}(3875)^+$ is expected to manifest as a pole in the $DD π\to DD π$ scattering amplitude. The formalism presented here can also be applied to lattice QCD settings in which the $D^*$ is bound and, in particular, remains valid below the left-hand cut in $D D^*$ scattering, thus resolving an issue in previous analyses of lattice-determined finite-volume energies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_06609 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Incorporating $DDπ$ effects and left-hand cuts in lattice QCD studies of the $T_{cc}(3875)^+$ Hansen, Maxwell T. Romero-López, Fernando Sharpe, Stephen R. High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Theory We generalize the relativistic field-theoretic three-particle finite-volume scattering formalism to describe generic $DDπ$ systems in the charm $C=2$ sector. This includes the isospin-0 channel, in which the recently discovered doubly-charmed tetraquark $T_{cc}(3875)^+$ is expected to manifest as a pole in the $DD π\to DD π$ scattering amplitude. The formalism presented here can also be applied to lattice QCD settings in which the $D^*$ is bound and, in particular, remains valid below the left-hand cut in $D D^*$ scattering, thus resolving an issue in previous analyses of lattice-determined finite-volume energies. |
| title | Incorporating $DDπ$ effects and left-hand cuts in lattice QCD studies of the $T_{cc}(3875)^+$ |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2401.06609 |