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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.13917 |
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| _version_ | 1866914652643917824 |
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| author | Lyu, Yan Aoki, Sinya Doi, Takumi Hatsuda, Tetsuo Ikeda, Yoichi Meng, Jie |
| author_facet | Lyu, Yan Aoki, Sinya Doi, Takumi Hatsuda, Tetsuo Ikeda, Yoichi Meng, Jie |
| contents | We study the doubly charmed tetraquark state $T_{cc}^+$ by the HAL QCD method applied to the $D^*D$ system in $(2+1)$ flavor lattice QCD at nearly physical pion mass, $m_π= 146$ MeV. We obtain the attractive potential at all distances in the $S$-wave of the isoscalar $D^* D$ system, whose long distance behavior is well described by the two-pion exchange (TPE), and it generates a virtual pole near $D^* D$ threshold with a pole position $E_{\rm pole} = -59 (^{+53}_{-99}) (^{+2}_{-67})$ keV and an inverse scattering length $1/a_0=0.05(5)(^{+2}_{-2})$ fm$^{-1}$. The virtual pole turns into a loosely bound state pole if the pion mass in the TPE potential is extrapolated to the physical value, $m_π=135$ MeV. The potential at the physical pion mass is shown to give a semi-quantitative description of the $D^0 D^0π^+$ mass spectrum at the LHCb. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13917 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Doubly charmed tetraquark $T_{cc}^+$ in (2+1)-flavor QCD near physical point Lyu, Yan Aoki, Sinya Doi, Takumi Hatsuda, Tetsuo Ikeda, Yoichi Meng, Jie High Energy Physics - Lattice We study the doubly charmed tetraquark state $T_{cc}^+$ by the HAL QCD method applied to the $D^*D$ system in $(2+1)$ flavor lattice QCD at nearly physical pion mass, $m_π= 146$ MeV. We obtain the attractive potential at all distances in the $S$-wave of the isoscalar $D^* D$ system, whose long distance behavior is well described by the two-pion exchange (TPE), and it generates a virtual pole near $D^* D$ threshold with a pole position $E_{\rm pole} = -59 (^{+53}_{-99}) (^{+2}_{-67})$ keV and an inverse scattering length $1/a_0=0.05(5)(^{+2}_{-2})$ fm$^{-1}$. The virtual pole turns into a loosely bound state pole if the pion mass in the TPE potential is extrapolated to the physical value, $m_π=135$ MeV. The potential at the physical pion mass is shown to give a semi-quantitative description of the $D^0 D^0π^+$ mass spectrum at the LHCb. |
| title | Doubly charmed tetraquark $T_{cc}^+$ in (2+1)-flavor QCD near physical point |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2401.13917 |