<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>X</mml:mi><mml:mi>J</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>2900</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> states in a hot hadronic medium
Luciano M. Abreu
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 ${X}_{J}\ensuremath{\pi}\ensuremath{\rightarrow}{\overline{D}}^{*}K,{K}^{*}\overline{D}$, 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.