Exact unified tetraquark equations
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929320332623872 |
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| author | Blankleider, B. Kvinikhidze, A. N. |
| author_facet | Blankleider, B. Kvinikhidze, A. N. |
| contents | Recently we formulated covariant equations describing the tetraquark in terms of an admixture of two-body states $D\bar D$ (diquark-antidiquark), $MM$ (meson-meson), and three-body-like states where two of the quarks are spectators while the other two are interacting [Phys. Rev. D 107, 094014 (2023)]. A feature of these equations is that they unify descriptions of seemingly unrelated models of the tetraquark, like, for example, the $D\bar D$ model of the Moscow group [Faustov et al., Universe 7, 94 (2021)] and the coupled channel $D \bar D-MM$ model of the Giessen group [Heupel et al., Phys. Lett. B718, 545 (2012)]. Here we extend these equations to the exact case where $q\bar{q}$ annihilation is incorporated explicitly, and all previously neglected terms (three-body forces, non-pole contributions to two-quark t matrices, etc.) are taken into account through the inclusion of a single $q\bar{q}$ potential $Δ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_12409 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact unified tetraquark equations Blankleider, B. Kvinikhidze, A. N. High Energy Physics - Phenomenology Nuclear Theory Recently we formulated covariant equations describing the tetraquark in terms of an admixture of two-body states $D\bar D$ (diquark-antidiquark), $MM$ (meson-meson), and three-body-like states where two of the quarks are spectators while the other two are interacting [Phys. Rev. D 107, 094014 (2023)]. A feature of these equations is that they unify descriptions of seemingly unrelated models of the tetraquark, like, for example, the $D\bar D$ model of the Moscow group [Faustov et al., Universe 7, 94 (2021)] and the coupled channel $D \bar D-MM$ model of the Giessen group [Heupel et al., Phys. Lett. B718, 545 (2012)]. Here we extend these equations to the exact case where $q\bar{q}$ annihilation is incorporated explicitly, and all previously neglected terms (three-body forces, non-pole contributions to two-quark t matrices, etc.) are taken into account through the inclusion of a single $q\bar{q}$ potential $Δ$. |
| title | Exact unified tetraquark equations |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2404.12409 |