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We investigate the interactions of the charged exotic state $Z_c(3900)$ in a hadronic medium composed of light mesons. We study processes such as $Z_c \pi \to D\bar{D}$, $Z_c \pi \to D^*\bar{D}^*$, $Z_c \pi \to D\bar{D}^*$ and the inverse ones. Using effective Lagrangians and form factors calculated with QCD sum rules (treating the $Z_c(3900)$ as a tetraquark) we estimate the vacuum and thermally-averaged cross-sections of these reactions. We find that the $Z_c(3900)$ has relatively large interaction cross sections with the constituent particles of the hadronic medium.
After that, we use the production and suppression cross sections in a rate equation to estimate the time evolution of the $Z_c$ multiplicity. We include the $Z_c$ decay and regeneration terms. The coalescence model is employed to compute the initial $Z_c$ multiplicity for the compact tetraquark configuration. Our results indicate that the combined effects of hadronic interactions, hydrodynamical expansion, decay and regeneration affect the final yield, which is bigger than the initial value. Besides, the dependence of the $Z_c$ final yield with the centrality, center-of-mass energy and the charged hadron multiplicity measured at midrapidity $[dN_{ch}/d\eta \,(\eta<0.5)]$ is also investigated.
We investigate the interactions of the charged exotic state $Z_c(3900)$ in a hadronic medium composed of light mesons. We study processes such as $Z_c \pi \to D\bar{D}$, $Z_c \pi \to D^*\bar{D}^*$, $Z_c \pi \to D\bar{D}^*$ and the inverse ones. Using effective Lagrangians and form factors calculated with QCD sum rules (treating the $Z_c(3900)$ as a tetraquark) we estimate the vacuum and thermally-averaged cross-sections of these reactions. We find that the $Z_c(3900)$ has relatively large interaction cross sections with the constituent particles of the hadronic medium.
After that, we use the production and suppression cross sections in a rate equation to estimate the time evolution of the $Z_c$ multiplicity. We include the $Z_c$ decay and regeneration terms. The coalescence model is employed to compute the initial $Z_c$ multiplicity for the compact tetraquark configuration. Our results indicate that the combined effects of hadronic interactions, hydrodynamical expansion, decay and regeneration affect the final yield, which is bigger than the initial value. Besides, the dependence of the $Z_c$ final yield with the centrality, center-of-mass energy and the charged hadron multiplicity measured at midrapidity $[dN_{ch}/d\eta \,(\eta<0.5)]$ is also investigated.
In a previous work we computed the thermally averaged cross sections for the production and absorption reactions of the χc1(4274) state in the hot hadron gas formed in heavy-ion collisions. In the present work we estimate the final yield of the χc1(4274) state in these collisions. We use the coalescence model to fix the initial multiplicity of the χc1(4274), which is treated as a P-wave bound state of DsD¯s0 and also as a compact tetraquark. The Bjorken picture is used to model the hydrodynamic expansion and cooling. We also consider the Hubble cooling, which is faster and mimics the effect of the transverse expansion. Then, the kinetic equation is solved to evaluate the time evolution of the χc1(4274) yield during the hot hadron gas phase. Since the χc1(4274) decay width is large it might decay inside the hadron gas. Therefore, we also include the χc1(4274) decay and regeneration terms by means of an effective coupling, estimated from the available data. The combined effects of hadronic interactions and the χc1(4274) decay have a strong impact on the final yield. Also, predictions of the χc1(4274) multiplicity as a function of centrality and of the charged hadron multiplicity measured at midrapidity [dNch/dη(η<0.5)] are presented. Finally, we calculate the yield of a proposed P-wave molecular state of DsD¯s0, Y′(4274), characterized by a smaller width and smaller coupling constant obtained from the Weinberg compositeness condition. Published by the American Physical Society 2024
In this work, we evaluate the X(3872) to ψ(2S) yield ratio (NX/Nψ(2S)) in Pb-Pb collisions, taking into account the interactions of the ψ(2S) and X(3872) states with light mesons in the hadron gas formed at the late stages of these collisions. We employ an effective Lagrangian approach to estimate the thermally averaged cross sections for the production and absorption of the ψ(2S) and use them in the rate equation to determine the time evolution of Nψ(2S). The multiplicity of these states at the end of the mixed phase is obtained from the coalescence model. The multiplicity of X(3872), treated as a bound state of (DD¯*+cc) and also as a compact tetraquark, was already calculated in previous works. Knowing these yields, we derive predictions for the ratio (NX/Nψ(2S)) as a function of the centrality, of the center-of-mass energy, and of the charged hadron multiplicity measured at midrapidity [dNch/dη(η<0.5)]. Finally, we make predictions for this ratio in Pb-Pb collisions at sNN=5.02 TeV to be measured by the ALICE Collaboration in run 3. Our findings suggest that the molecular configuration generates a ratio compatible with the data, whereas the ratio obtained with the tetraquark configuration is 50 times smaller. Published by the American Physical Society 2024
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