Triangle Singularity in the Production of $T_{cc}^{+}$(3875) and a Soft Pion

Abstract

The double-charm tetraquark meson $T_{cc}^{+}(3875)$ can be produced in high-energy proton-proton collisions by the creation of the charm mesons $D^{\ast +}{D}^0$ at short distances followed by their binding into $T_{cc}^{+}$. The $T_{cc}^{+}$ can also be produced by the creation of $D^{\ast +}{D}^{\ast +}$ at short distances followed by their rescattering into $T_{cc}^{+}{\pi }^{+}$. A charm-meson triangle singularity produces a narrow peak in the $T_{cc}^{+}{\pi }^{+}$ invariant mass distribution 6.1 MeV above the threshold with a width of about 1 MeV. Well beyond the peak, the differential cross section decreases with the invariant kinetic energy $E$ of $T_{cc}^{+}{\pi }^{+}$ as $E^{-1/2}$. The fraction of $T_{cc}^{+}$ that are accompanied by ${\pi }^{+}$ with $E<m_{\pi }$ is estimated to be roughly 3%. The fraction of $T_{cc}^{+}$ events with $T_{cc}^{+}{\pi }^{+}$ in the narrow peak from the triangle singularity could be comparable.

44 pages, 13 figures

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• Observation of an exotic narrow doubly charmed tetraquark
• Study of the doubly charmed tetraquark $T_{cc}^{+}$
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• Study of the lineshape of the ${\chi }_{c1}(3872)$ state
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Cited by in corpus (15)

• An updated review of the new hadron states
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Revisiting the $D{D}^{\ast }$ chiral interactions with the local momentum-space regularization up to the third order and the nature of $T_{cc}^{+}$
• Solving the left-hand cut problem in lattice QCD: $T_{cc}(3875{)}^{+}$ from finite volume energy levels
• New insight into the exotic states strongly coupled with the $D{\bar{D}}^{\ast }$ from the $T_{cc}^{+}$
• Searching for doubly charmed tetraquark candidates $T_{cc}$ and $T_{cc\bar{s}}$ in $B_c$ decays
• Doubly heavy tetraquark states in a mass splitting model
• Doubly-Charged $T_{cc}^{++}$ States in the Dynamical Diquark Model
• Electromagnetic properties of the $T_{cc}^{+}$ molecular states
• Triangle singularity in $B^0\to {\pi }^{-}{K}^{+}X(3872)$ via the $D_{s1}\bar{D}{D}^{\ast }$ loop and possible precise measurement of the $X(3872)$ mass
• Hunting for the prospective $T_{cc}$ family based on the diquark-antidiquark configuration
• Production of doubly charmed hadron ${\Xi }_{cc}^{++}$ and $T_{cc}^{+}$ in relativistic heavy ion collisions
• Investigation on the bottom analogs of the $T_{cc}^{+}$
• Model-independent predictions for decays of double-heavy hadrons into pairs of heavy hadrons
• An alternative way to decipher the nature of the doubly charmed tetraquark $T_{cc}(3875{)}^{+}$: its antiparticle $T_{\bar{c}\bar{c}}(3875{)}^{-}$ photoproduction off nuclei near threshold