Multiplicity of the doubly charmed state $T_{cc}^{+}$ in heavy-ion collisions

Abstract

We study the evolution of the doubly charmed state $T_{cc}^{+}$ in a hot hadron gas produced in the late stage of heavy-ion collisions. We use effective Lagrangians to calculate the thermally averaged cross sections of $T_{cc}^{+}$ production in reactions such as $D^{(\ast )}{D}^{(\ast )}\to T_{cc}^{+}\pi ,T_{cc}^{+}\rho$ and its absorption in the corresponding inverse processes. We then solve the rate equation to follow the time evolution of the $T_{cc}^{+}$ multiplicity, and determine how it is affected by the considered reactions during the expansion of the hadronic matter. We compare the evolution of the $T_{cc}^{+}$ abundance treated as a hadronic $S$-wave molecule and as a tetraquark state. Our results show that the tetraquark yield increases by a factor of about 2 at freeze-out, but it is still one order of magnitude smaller than the final yield of molecules formed from hadron coalescence. Also, the results indicate that $N_{T_{cc}}$ is more affected by interactions with hadronic medium than $N_{X(3872)}$ in similar conditions. We also show that yields depend very weakly on the system size, represented by $\mathcal{N}={\left[d{N}_{ch}/d\eta (\eta <0.5)\right]}^{1/3}$.

10 pages; 6 figures; v2: added a new Section (Section IV) with a comprehensive study of the influence of the system size, represented by the density of charged particles measured at midrapidity $\mathcal{N}=\left[d{N}_{ch}/d\eta (\eta <0.5)\right]$, on the results

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Cited by in corpus (22)

• 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 $T_{cc}^{+}$
• New insight into the exotic states strongly coupled with the $D{\bar{D}}^{\ast }$ from the $T_{cc}^{+}$
• Exploring the magnetic dipole moments of $T_{QQ\bar{q}\bar{s}}$ and $T_{QQ\bar{s}\bar{s}}$ states in the framework of QCD light-cone sum rules
• Doubly heavy tetraquark states in a mass splitting model
• Searching for doubly charmed tetraquark candidates $T_{cc}$ and $T_{cc\bar{s}}$ in $B_c$ decays
• Doubly-Charged $T_{cc}^{++}$ States in the Dynamical Diquark Model
• Magnetic dipole moments of $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states
• Theoretical investigation of the molecular nature of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ and the possibility of observing the $D\bar{D}K$ bound state $K_{c\bar{c}}(4180)$ in inclusive $e^{+}{e}^{-}\to c\bar{c}$ collisions
• Electromagnetic properties of the $T_{cc}^{+}$ molecular states
• Isospin violation effect and three-body decays of the $T_{cc}^{+}$ state
• The $D^{\ast }/D$ ratio in heavy ion collisions
• Hadronic medium effects on $Z_{cs}(3985{)}^{-}$ production in heavy-ion collisions
• Production of doubly charmed hadron ${\Xi }_{cc}^{++}$ and $T_{cc}^{+}$ in relativistic heavy ion collisions
• Investigation on the bottom analogs of the $T_{cc}^{+}$
• Interactions of the ${\chi }_{c1}(4274)$ state with light mesons
• Fully-heavy tetraquarks in the vacuum and in a hot environment
• Interaction of exotic states in a hadronic medium: the $Z_c(3900)$ case
• Evolution of charm-meson ratios in an expanding hadron gas
• Photon-induced production of the exotic charged charmonium-like state $Z_c(3900)$ off nuclear targets and its internal structure
• Interactions of the deuteron with a hadronic medium