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Sep 5 – 9, 2022
online
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The multiplicity of the doubly charmed state $T_{cc} ^+$ in heavy-ion collisions

Sep 8, 2022, 3:50 PM
20m
online

online

FSU, Tallahassee, FL, USA
oral presentation Heavy Ions

Speaker

Prof. Luciano Melo Abreu (Federal University of Bahia (Brazil))

Description

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^{(*)} D^{(*)} \rightarrow 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 $\mathcal{N} = \left[ d N_{ch} / d \eta (\eta < 0.5)\right]^{1/3}$.

Primary authors

Prof. Luciano Melo Abreu (Federal University of Bahia (Brazil)) Hildeson P. L. Vieira (Universidade Federal da Bahia (Brazil)) Prof. Fernando S. Navarra (University of São Paulo (Brazil))

Presentation materials