Abstract
We study the K⁎ meson dissociation in heavy ion collisions during the hadron gas phase. We use the production and absorption cross sections of the K⁎ and K mesons in a hadron gas, which were calculated in a previous work. We compute the time evolution of the K⁎ abundance and the K⁎/K ratio during the hadron gas phase. Assuming a Bjorken type cooling and using an empirical relation between the freeze-out temperature and the central multiplicity density, we are able to write K⁎/K as a function of (dN/dη(η=0)). The obtained function is in very good agreement with recent experimental data.
Highlights
In recent heavy ion collision experiments nuclei are accelerated towards each other with energies of the order of GeV or TeV. These extremely high energies allow for the production of a deconfined phase of quarks and gluons. This phase where the fundamental particles are able to travel freely is known as the quark gluon plasma (QGP) [1, 2]
The K∗ meson is a resonance and may change its abundance by the strong decay K∗ → Kπ. This meson has a lifetime of 4 fm/c, smaller than the duration of the hadron gas phase, which is believed to be of the order of 10 fm/c
From what was said above we see that the final multiplicities of K∗ and K may depend on: i) the collision dynamics, i.e., on the production and absorption cross sections discussed above; ii) the initial conditions of the evolution equations (7), i.e., the initial values of NK∗ and NK ; iii) the expansion dynamics, i.e., the cooling function T (τ ) and iv) the system size, characterized by dN/dη(η = 0)
Summary
The K∗ meson is a resonance and may change its abundance by the strong decay K∗ → Kπ This meson has a lifetime of 4 fm/c, smaller than the duration of the hadron gas phase, which is believed to be of the order of 10 fm/c. [15] the authors computed the cross sections of several types of interactions suffered by K∗ and K mesons in the hadron gas and showed that, due√to these interactions and to the strong decay, the final yield ratio K∗/K measured in central Au+Au collision at sNN = 200 GeV decreases by 37 % during the hadron gas phase, resulting in a final ratio comparable to STAR measurements. [17–19], it was shown that interaction terms with anomalous parity couplings have a strong impact on the corresponding cross sections The relevance of such anomalous terms in the determination of the abundance of X(3872) in heavy ion collisions was computed in Ref. We briefly describe the formalism and we present our results and compare them with experimental data
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