Doubly heavy tetraquarks from lattice QCD: incorporating diquark-antidiquark operators and the left-hand cut
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| Format: | Preprint |
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2025
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| author | Prelovsek, S. Ortiz-Pacheco, E. Collins, S. Leskovec, L. Padmanath, M. Vujmilovic, I. |
| author_facet | Prelovsek, S. Ortiz-Pacheco, E. Collins, S. Leskovec, L. Padmanath, M. Vujmilovic, I. |
| contents | Lattice studies of the doubly-charm tetraquark $T_{cc}=cc\bar u\bar d$ require the determination of the $DD^*$ scattering amplitude, which most often incorporate only meson-meson interpolators. We additionally incorporate diquark-antidiquark operators and find that these have some impact on certain eigenenergies. This study presents the first extraction of the $DD^*$ scattering amplitude based on the meson-meson as well as diquark antidiquark interpolators. The effect of the additional operators renders
slightly smaller values of $p\cot δ_0$ and a $T_{cc}$ pole slightly closer to the threshold. The scattering amplitude is extracted from eigenenergies by adopting plane-wave and effective-field-theoretic methods, which also incorporate the left-hand cut and address the partial wave mixing. The $T_{cc}$ is found to be a subthreshold resonance with a pole at $m_{T_{cc}}-m_D-m_{D^*}=-5.2^{+0.7}_{-0.8} - i \cdot 6.3^{+2.4}_{-4.8}~$MeV, employing CLS ensembles with $m_π\simeq 280~$MeV and the distillation method. A more significant effect of diquark-antidiquark operators on eigen-energies is found for larger heavy quark masses relevant for $T_{bb}$. We find that deeply bound $T_{bb}$ does not emerge when employing only meson-meson operators, where each meson is separately momentum projected, while the deeply bound state emerges after adding local diquark antidiquark operators. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_03473 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Doubly heavy tetraquarks from lattice QCD: incorporating diquark-antidiquark operators and the left-hand cut Prelovsek, S. Ortiz-Pacheco, E. Collins, S. Leskovec, L. Padmanath, M. Vujmilovic, I. High Energy Physics - Lattice High Energy Physics - Phenomenology Lattice studies of the doubly-charm tetraquark $T_{cc}=cc\bar u\bar d$ require the determination of the $DD^*$ scattering amplitude, which most often incorporate only meson-meson interpolators. We additionally incorporate diquark-antidiquark operators and find that these have some impact on certain eigenenergies. This study presents the first extraction of the $DD^*$ scattering amplitude based on the meson-meson as well as diquark antidiquark interpolators. The effect of the additional operators renders slightly smaller values of $p\cot δ_0$ and a $T_{cc}$ pole slightly closer to the threshold. The scattering amplitude is extracted from eigenenergies by adopting plane-wave and effective-field-theoretic methods, which also incorporate the left-hand cut and address the partial wave mixing. The $T_{cc}$ is found to be a subthreshold resonance with a pole at $m_{T_{cc}}-m_D-m_{D^*}=-5.2^{+0.7}_{-0.8} - i \cdot 6.3^{+2.4}_{-4.8}~$MeV, employing CLS ensembles with $m_π\simeq 280~$MeV and the distillation method. A more significant effect of diquark-antidiquark operators on eigen-energies is found for larger heavy quark masses relevant for $T_{bb}$. We find that deeply bound $T_{bb}$ does not emerge when employing only meson-meson operators, where each meson is separately momentum projected, while the deeply bound state emerges after adding local diquark antidiquark operators. |
| title | Doubly heavy tetraquarks from lattice QCD: incorporating diquark-antidiquark operators and the left-hand cut |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2504.03473 |