Hadronic decays of the heavy-quark-spin molecular partner of $T_{cc}^{+}$

Abstract

Starting from the hypothesis that the $T_{cc}^{+}$ discovered at LHCb is a $D^{\ast +}{D}^0/D^{\ast 0}{D}^{+}$ hadronic molecule, we consider the partial width of its heavy quark spin partner, the $T_{cc}^{\ast +}$ as a $D^{\ast +}{D}^{\ast 0}$ shallow bound state, decaying into the $D^{\ast }D\pi$ final states including the contributions of the $D^{\ast }D$ and $D^{\ast }\pi$ final state interaction by using a nonrelativistic effective field theory. Because of the existence of the $T_{cc}^{+}$ pole, the $I=0$ $D^{\ast }D$ rescattering can give a sizeable correction up to about $40\%$ to the decay widths considering only the tree diagrams, and the $D^{\ast }\pi$ rescattering correction is about $10\%$. The four-body partial widths of the $T_{cc}^{\ast +}$ into $DD\pi \pi$ are also explicitly calculated, and we find that the interference effect between different intermediate $D^{\ast }D\pi$ states is small. The total width of the $T_{cc}^{\ast +}$ is predicted to be about 41 keV.

arXiv comment31 pages, 10 figues. Results updated and extended, version to be published in Phys. Rev. D

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Cited by in corpus (9)

• Heavy- and light-flavor symmetry partners of the $T_{cc}^{+}(3875)$, the $X(3872)$ and the $X(3960)$ from light-meson exchange saturation
• Near-threshold states in coupled $D{D}^{\ast }-D^{\ast }{D}^{\ast }$ scattering from lattice QCD
• Higher molecular $P_{\psi s}^{\Lambda /\Sigma }$ pentaquarks arising from the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_1/{\Xi }_c^{(\prime ,\ast )}{\bar{D}}_2^{\ast }$ interactions
• Electromagnetic properties of the $T_{cc}^{+}$ molecular states
• Isospin violation effect and three-body decays of the $T_{cc}^{+}$ state
• Hunting for $X_b$ via hidden bottomonium decays $X_b\to \pi \pi {\chi }_{bJ}$
• Radiative decays of the heavy-quark-spin molecular partner of $T_{cc}^{+}$
• Spectroscopic Properties of Double-Strangeness Molecular Tetraquarks
• Low-energy $N\varphi$ scattering from a pole-enhanced triangle diagram