Finite-temperature effects on the threshold cusps in $ππ$ and $D\bar{D}^{\ast}$ scatterings from relativistic heavy-ion collisions
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866916660607188992 |
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| author | Zhang, Ying Hosaka, Atsushi Wang, Qian Yasui, Shigehiro |
| author_facet | Zhang, Ying Hosaka, Atsushi Wang, Qian Yasui, Shigehiro |
| contents | We investigate how the temperature influences the threshold cusps in meson-meson scatterings, i.e., $ππ$ 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 $ππ$ at different temperatures demonstrates that the cusp structure in $ππ$ scattering is mildly enhanced as the temperature increases. As for the $ππ$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_18344 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite-temperature effects on the threshold cusps in $ππ$ and $D\bar{D}^{\ast}$ scatterings from relativistic heavy-ion collisions Zhang, Ying Hosaka, Atsushi Wang, Qian Yasui, Shigehiro High Energy Physics - Phenomenology We investigate how the temperature influences the threshold cusps in meson-meson scatterings, i.e., $ππ$ 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 $ππ$ at different temperatures demonstrates that the cusp structure in $ππ$ scattering is mildly enhanced as the temperature increases. As for the $ππ$ 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. |
| title | Finite-temperature effects on the threshold cusps in $ππ$ and $D\bar{D}^{\ast}$ scatterings from relativistic heavy-ion collisions |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2503.18344 |