Doubly charmed tetraquark: isospin channels and diquark-antidiquark interpolators
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| Format: | Preprint |
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2023
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| author | Ortiz-Pacheco, Emmanuel Collins, Sara Leskovec, Luka Padmanath, M. Prelovsek, Sasa |
| author_facet | Ortiz-Pacheco, Emmanuel Collins, Sara Leskovec, Luka Padmanath, M. Prelovsek, Sasa |
| contents | We perform a lattice simulation to investigate the doubly charmed tetraquark $T^+_{cc}$ observed by the LHCb collaboration, slightly below the $D^{*+}D^0$ threshold, with flavor content $cc\bar{u}\bar{d}$ and isospin-$0$. Two-meson interpolators are implemented to explore the isospin quantum numbers $I=0$ and $I=1$. We observe attraction near the $DD^*$ threshold for $I=0$ and repulsion for $I=1$. Moreover, we also include diquark-antidiquark interpolators to study their effect on the energy spectrum. There is no significant shift in the ground state energy when adding diquark-antidiquark interpolators to the interpolator basis when the heavy quark mass is close to the physical charm quark mass. However, we observe a non-negligible shift in the second energy level. This effect has to be taken into account to extract the scattering amplitude of the $T^+_{cc}$. Finally, with a higher mass (close to the bottom quark), the ground state is shifted down significantly. The simulation is performed on $N_f=2+1$ CLS ensembles with $m_π\simeq 280$ MeV. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2312_13441 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Doubly charmed tetraquark: isospin channels and diquark-antidiquark interpolators Ortiz-Pacheco, Emmanuel Collins, Sara Leskovec, Luka Padmanath, M. Prelovsek, Sasa High Energy Physics - Lattice We perform a lattice simulation to investigate the doubly charmed tetraquark $T^+_{cc}$ observed by the LHCb collaboration, slightly below the $D^{*+}D^0$ threshold, with flavor content $cc\bar{u}\bar{d}$ and isospin-$0$. Two-meson interpolators are implemented to explore the isospin quantum numbers $I=0$ and $I=1$. We observe attraction near the $DD^*$ threshold for $I=0$ and repulsion for $I=1$. Moreover, we also include diquark-antidiquark interpolators to study their effect on the energy spectrum. There is no significant shift in the ground state energy when adding diquark-antidiquark interpolators to the interpolator basis when the heavy quark mass is close to the physical charm quark mass. However, we observe a non-negligible shift in the second energy level. This effect has to be taken into account to extract the scattering amplitude of the $T^+_{cc}$. Finally, with a higher mass (close to the bottom quark), the ground state is shifted down significantly. The simulation is performed on $N_f=2+1$ CLS ensembles with $m_π\simeq 280$ MeV. |
| title | Doubly charmed tetraquark: isospin channels and diquark-antidiquark interpolators |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2312.13441 |