Mass spectra of doubly charmed tetraquarks $T_{cc}$
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arXiv
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| Natura: | Preprint |
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2024
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| _version_ | 1866912569777717248 |
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| author | Lin, You-You Wang, Ji-Ying Zhang, Ailin |
| author_facet | Lin, You-You Wang, Ji-Ying Zhang, Ailin |
| contents | Motivated by the first observation of a doubly charmed tetraquark candidate $T_{cc}(3875)^+$, we perform a systematic calculation of the mass spectra of doubly charmed tetraquark states from $1S$ to $2P$ excitations in a nonrelativistic constituent quark potential model. In terms of the quark-quark potential, the mass of the charmed spin-$1$ diquark is predicted $\sim 3500$ MeV. The masses of the light ``good'' and ``bad'' antidiquark are calculated with $\sim 670$ MeV and $\sim 840$ MeV, respectively. The mass difference between light ``good'' and ``bad'' diquarks is $\sim 170$ MeV, which is consistent with previous phenomenological analyses. The interaction between the charmed diquark and the light antidiquark is then modulated by the quark-antiquark potential in the model, and the mass spectra of doubly charmed tetraquarks from $1S$ to $2P$ excitations are calculated with the calculated masses of diquarks/antidiquarks and refitted parameters from $T_{cc}(3875)^+$ and $X(3872)$. The $1S-1P$ and $1S-2S$ mass splittings of doubly charmed tetraquarks are about $410-430$ MeV and $610-650$ MeV, respectively, and this mass splittings pattern is similar to that for ordinary $D$ mesons. The mass splittings of doubly charmed tetraquarks with isospin-$0$ is about $10-25$ MeV higher than the corresponding mass splittings of doubly charmed tetraquarks with isospin-$1$ from $1S$ to $2P$ excitations. $T_{cc}(3875)^+$ is possible to be assumed as a $IJ^P=01^+$ ground doubly charmed tetraquark candidate with a light ``good'' antidiquark, and the next $P$-wave excited doubly charmed tetraquarks are predicted to have masses with an average $420-430$ MeV higher. A $J^P=0^+$ ground doubly charmed tetraquark $T_{cc}(3834)$ with isospin-$1$ located around $3834$ MeV is expected. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_16902 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mass spectra of doubly charmed tetraquarks $T_{cc}$ Lin, You-You Wang, Ji-Ying Zhang, Ailin High Energy Physics - Phenomenology Motivated by the first observation of a doubly charmed tetraquark candidate $T_{cc}(3875)^+$, we perform a systematic calculation of the mass spectra of doubly charmed tetraquark states from $1S$ to $2P$ excitations in a nonrelativistic constituent quark potential model. In terms of the quark-quark potential, the mass of the charmed spin-$1$ diquark is predicted $\sim 3500$ MeV. The masses of the light ``good'' and ``bad'' antidiquark are calculated with $\sim 670$ MeV and $\sim 840$ MeV, respectively. The mass difference between light ``good'' and ``bad'' diquarks is $\sim 170$ MeV, which is consistent with previous phenomenological analyses. The interaction between the charmed diquark and the light antidiquark is then modulated by the quark-antiquark potential in the model, and the mass spectra of doubly charmed tetraquarks from $1S$ to $2P$ excitations are calculated with the calculated masses of diquarks/antidiquarks and refitted parameters from $T_{cc}(3875)^+$ and $X(3872)$. The $1S-1P$ and $1S-2S$ mass splittings of doubly charmed tetraquarks are about $410-430$ MeV and $610-650$ MeV, respectively, and this mass splittings pattern is similar to that for ordinary $D$ mesons. The mass splittings of doubly charmed tetraquarks with isospin-$0$ is about $10-25$ MeV higher than the corresponding mass splittings of doubly charmed tetraquarks with isospin-$1$ from $1S$ to $2P$ excitations. $T_{cc}(3875)^+$ is possible to be assumed as a $IJ^P=01^+$ ground doubly charmed tetraquark candidate with a light ``good'' antidiquark, and the next $P$-wave excited doubly charmed tetraquarks are predicted to have masses with an average $420-430$ MeV higher. A $J^P=0^+$ ground doubly charmed tetraquark $T_{cc}(3834)$ with isospin-$1$ located around $3834$ MeV is expected. |
| title | Mass spectra of doubly charmed tetraquarks $T_{cc}$ |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2410.16902 |