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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
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2024
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| Accès en ligne: | https://arxiv.org/abs/2410.17559 |
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| _version_ | 1866913560902238208 |
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| author | Chen, Yong-Qing Hong, Peng-Cheng Chen, Zhuo Shan, Wei Song, Wei-Min |
| author_facet | Chen, Yong-Qing Hong, Peng-Cheng Chen, Zhuo Shan, Wei Song, Wei-Min |
| contents | In this work, a formalism is presented for the helicity amplitude analysis of the decays $ψ(2S) \to γ_1 χ_{cJ},~ χ_{cJ} \to γ_2 V (V=ρ^0,~ϕ,~ω)$~(the subscript 1,2 is used to distinguish the two radiative photons), and the polarization expressions of the P-wave charmonia $χ_{cJ}$ and the vector mesons $ρ^0, ϕ, ω$ for experimental measurements at Electron-Positron Collider. In addition, we derive the formulae of the angular distributions of the $χ_{c1,2} \to γV$ to extract the degree of transverse polarization $P_T$ of $e^+ e^-$ pairs with symmetric beam energy as well as the ratios of two helicity amplitudes $x$ (in $χ_{c1}$ decays) and $x,~y$ (in $χ_{c2}$ decays) representing the relative magnitudes of transverse to longitudinal polarization amplitude, and validate it by performing the Monte Carlo simulation. Finally, the statistical sensitivity of $P_T$, $x$ and $y$ are estimated based on the large $ψ(2S)$ data samples collected at the current and proposed future $e^+e^-$ collider experiment. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_17559 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Polarization study of the P-wave charmonium radiative decay into a light vector meson at $e^{+}e^{-}$ collider experiment Chen, Yong-Qing Hong, Peng-Cheng Chen, Zhuo Shan, Wei Song, Wei-Min High Energy Physics - Phenomenology High Energy Physics - Experiment In this work, a formalism is presented for the helicity amplitude analysis of the decays $ψ(2S) \to γ_1 χ_{cJ},~ χ_{cJ} \to γ_2 V (V=ρ^0,~ϕ,~ω)$~(the subscript 1,2 is used to distinguish the two radiative photons), and the polarization expressions of the P-wave charmonia $χ_{cJ}$ and the vector mesons $ρ^0, ϕ, ω$ for experimental measurements at Electron-Positron Collider. In addition, we derive the formulae of the angular distributions of the $χ_{c1,2} \to γV$ to extract the degree of transverse polarization $P_T$ of $e^+ e^-$ pairs with symmetric beam energy as well as the ratios of two helicity amplitudes $x$ (in $χ_{c1}$ decays) and $x,~y$ (in $χ_{c2}$ decays) representing the relative magnitudes of transverse to longitudinal polarization amplitude, and validate it by performing the Monte Carlo simulation. Finally, the statistical sensitivity of $P_T$, $x$ and $y$ are estimated based on the large $ψ(2S)$ data samples collected at the current and proposed future $e^+e^-$ collider experiment. |
| title | Polarization study of the P-wave charmonium radiative decay into a light vector meson at $e^{+}e^{-}$ collider experiment |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2410.17559 |