$Z_b(10610)$ in a hadronic medium

Abstract

In this work we investigate the $Z_b(10610)$ (called simply $Z_b$) abundance in the hot hadron gas produced in the late stage of heavy ion collisions. We use effective Lagrangians to calculate the thermally averaged cross sections of $Z_b$ production in processes such as $B^{(\ast )}+{\bar{B}}^{(\ast )}\to \pi +Z_b(10610)$ and also of its absorption in the corresponding inverse processes. We then solve the rate equation to follow the time evolution of the $Z_b$ multiplicity, and the results remarkably suggest that this quantity is not significantly affected by the considered reactions. The number of $Z_b$'s produced at the end of the quark-gluon plasma phase remains constant during the hadron phase.

arXiv comment6 pages, 6 figures

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