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| Format: | Preprint |
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2026
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| Online Access: | https://arxiv.org/abs/2603.21041 |
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| _version_ | 1866915880803237888 |
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| author | Nam, Seung-il |
| author_facet | Nam, Seung-il |
| contents | We study the thermal modification of the exclusive decay $K_1^+(1270)\to π^+π^-K^+$ in a hot hadronic medium. The decay amplitude is constructed from effective hadronic interactions dominated by the $ρ$- and $K^*$-pole contributions, which enables a Dalitz-level analysis of the three-body decay in medium. Thermal effects associated with partial chiral-symmetry restoration are incorporated through a phenomenological interpolation toward vector--axial-vector degeneracy near the chiral crossover. As the temperature increases, the reduction of the parent $K_1$ mass strongly compresses the available three-body phase space, leading to substantial deformation of the Dalitz distribution and invariant-mass spectra, as well as to a pronounced suppression of $Γ_{K_1\toπ^+π^-K^+}(T)$. As a further step toward future experimental comparison, we introduce normalized shape observables that quantify the thermal evolution of the $K^*$-dominated $πK$ region, the upper-edge weight of the $ππ$ spectrum, and the compactification of the Dalitz population. The dominant effect identified in the present framework is therefore kinematic: thermal phase-space reduction in the strange axial-vector channel. These results suggest that the exclusive $K_1(1270)$ channel may provide a useful qualitative probe of in-medium strange axial-vector dynamics near the pseudocritical region. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_21041 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Thermal modification of $K_1(1270)\to π^+π^-K^+$ in a hot hadronic medium Nam, Seung-il High Energy Physics - Phenomenology We study the thermal modification of the exclusive decay $K_1^+(1270)\to π^+π^-K^+$ in a hot hadronic medium. The decay amplitude is constructed from effective hadronic interactions dominated by the $ρ$- and $K^*$-pole contributions, which enables a Dalitz-level analysis of the three-body decay in medium. Thermal effects associated with partial chiral-symmetry restoration are incorporated through a phenomenological interpolation toward vector--axial-vector degeneracy near the chiral crossover. As the temperature increases, the reduction of the parent $K_1$ mass strongly compresses the available three-body phase space, leading to substantial deformation of the Dalitz distribution and invariant-mass spectra, as well as to a pronounced suppression of $Γ_{K_1\toπ^+π^-K^+}(T)$. As a further step toward future experimental comparison, we introduce normalized shape observables that quantify the thermal evolution of the $K^*$-dominated $πK$ region, the upper-edge weight of the $ππ$ spectrum, and the compactification of the Dalitz population. The dominant effect identified in the present framework is therefore kinematic: thermal phase-space reduction in the strange axial-vector channel. These results suggest that the exclusive $K_1(1270)$ channel may provide a useful qualitative probe of in-medium strange axial-vector dynamics near the pseudocritical region. |
| title | Thermal modification of $K_1(1270)\to π^+π^-K^+$ in a hot hadronic medium |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2603.21041 |