Finite-temperature effects on the threshold cusps in $\pi \pi$ and $D{\bar{D}}^{\ast }$ scatterings from relativistic heavy-ion collisions

Abstract

We investigate how the temperature influences the threshold cusps in meson-meson scatterings, i.e., $\pi \pi$ and $D{\bar{D}}^{\ast }$ (or $D^{\ast }\bar{D}$) scatterings, using the production rates and propagators obtained at finite temperature. The lineshape of production rate of $\pi \pi$ at different temperatures demonstrates that the cusp structure in $\pi \pi$ scattering is mildly enhanced as the temperature increases. As for the $\pi \pi$ propagator, which includes the isospin symmetry breaking, its lineshape displays a unique plateau-like structure and this structure will also be enhanced as the temperature increases. For comparison, the lineshape of the $D{\bar{D}}^{\ast }$ propagator including the isospin symmetry breaking is also investigated at different temperatures. As the temperature increases, its lineshape shows a similar plateau-like structure but with some different properties when the temperature modifications to the masses and widths of $D$ and ${\bar{D}}^{\ast }$ are considered.

arXiv commentAccepted by PRC

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