Abstract
In this work we investigate the hadronic effects on the $X_{J=0,1} (2900)$ states in heavy-ion collisions. We make use of Effective Lagrangians to estimate the cross sections and their thermal averages of the processes $X_J \pi \to \bar{D}^{*} K , K^{*} \bar{D} $, as well as those of the corresponding inverse processes, considering also the possibility of different isospin assignments ($I=0,1$). We complete the analysis by solving the rate equation to follow the time evolution of the $X_J (2900)$ multiplicities and determine how they are affected by the considered reactions during the expansion of the hadronic matter. We also perform a comparison of the $X_J (2900)$ abundances considering them as hadronic molecular states ($J=0$ as a $S$-wave and $J=1$ as a $P$-wave) and tetraquark states at kinetic freeze-out.
Highlights
Very recently, the LHCb collaboration has reported the observation of an exotic peak in the D−Kþ invariant mass spectrum of the Bþ → DþD−Kþ decay with statistical significance of more than 5σ [1,2]
We have investigated in this work the hadronic effects on the recently observed XJ1⁄40;1ð2900Þ states in heavy ion collisions
Considering the possibility of different isospin assignments (I 1⁄4 0, 1), we have found that the magnitude of the cross sections and their thermal averages depend on the quantum numbers, since the energy dependence is different for J 1⁄4 0, 1
Summary
The LHCb collaboration has reported the observation of an exotic peak in the D−Kþ invariant mass spectrum of the Bþ → DþD−Kþ decay with statistical significance of more than 5σ [1,2]. To determine the structure of the X0;1ð2900Þ states (meson molecules, compact tetraquarks, due to kinematic effects or a mixture) more experimental information is required, as well as more theoretical studies to estimate mensurable quantities associated to certain properties that discriminate these different interpretations. In this sense, as pointed in Ref. II we describe the effective formalism and calculate the cross sections of XJð2900Þ − π absorption and production and their thermal averages
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