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Newly observed exotic doubly charmed meson $T^{+}_{cc}$

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arxiv 2108.00188 v3 pith:AI7BH4HF submitted 2021-07-31 hep-ph hep-exhep-lat

classification hep-phhep-exhep-lat
keywords overlinewidthtetraquarkwidetildecharmedcouplingdecaydoubly
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In this work, we treat the newly observed doubly charmed four-quark state $ T_{cc}^{+}$ as an axial-vector tetraquark with content $cc\overline{u} \overline{d}$, and calculate its spectroscopic parameters and width. The mass and current coupling of the tetraquark $T_{cc}^{+}$ are found by means of the QCD two-point sum rule method by taking into account quark, gluon and mixed condensates up to dimension $10$. The width of the $T_{cc}^{+}$ is evaluated using partial widths of decay processes $T_{cc}^{+} \to \widetilde{ T}\pi ^{0}$ and $T_{cc}^{+} \to T_{cc;\overline{u}\overline{u}}^{0}\pi ^{+}$ , where $\widetilde{T}=cc\overline{u}\overline{d}$ and $T_{cc;\overline{u} \overline{u}}^{0}$ are scalar tetraquarks. To compute the partial width of the first process, we apply the QCD three-point sum rule approach and extract numerical value of the strong coupling $g$ that corresponds to the vertex $T_{cc}^{+}\widetilde{T}\pi ^{0}$. The width of the second decay is estimated using isospin symmetry and the prediction obtained for the first channel. Our results for the mass $m=(3868\pm 124)~\mathrm{MeV}$ and width $ \Gamma=(489\pm 92)~\mathrm{keV}$ of the tetraquark $T_{cc}^{+}$ are in a nice agreement with recent measurements of the LHCb collaboration.

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    A bag-model analysis identifies a compact radius limit of 5.615 GeV^-1 and predicts that nnccbar c pentaquarks fall below it, making them candidates for tightly bound compact states.

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