Polarization analysis in $e^+e^-\rightarrow J/ψ\rightarrow$ baryon-antibaryon pairs
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908596470546432 |
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| author | Zhang, Zhe Liu, Tianbo Ping, Rong-Gang Song, Jiao Jiao Yang, Weihua |
| author_facet | Zhang, Zhe Liu, Tianbo Ping, Rong-Gang Song, Jiao Jiao Yang, Weihua |
| contents | We present a comprehensive polarization analysis for the process $e^{+}e^{-} \rightarrow J/ψ\rightarrow$ baryon-antibaryon pairs~$B_{1}\bar{B}_{2}$. All possible helicity amplitudes for $e^{+}e^{-} \rightarrow J/ψ$ and $J/ψ\rightarrow B_{1} \bar{B}_{2}$ are provided, along with their transformation properties under parity and $CP$ operations. Taking full account of beam polarization, we analyze the polarization of the $J/ψ$ produced in $e^{+}e^{-}$ annihilation and show that all eight independent polarization components can be nonzero. By introducing a polarization transfer matrix, we propose a novel method to compute the polarization transfer in the decay $J/ψ\rightarrow B_{1} \bar{B}_{2}$. Considering both hadronic and radiative baryon decay models, we derive the joint angular distribution of the final-state particles. Focusing on the process $J/ψ\rightarrow Λ\barΣ^{0}$, we provide statistical uncertainty estimates for probing $CP$ violation in associated production of different baryons. This work establishes a complete framework for studying the parity and $CP$ violations present in baryon productions and decays within the helicity formalism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_01813 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Polarization analysis in $e^+e^-\rightarrow J/ψ\rightarrow$ baryon-antibaryon pairs Zhang, Zhe Liu, Tianbo Ping, Rong-Gang Song, Jiao Jiao Yang, Weihua High Energy Physics - Phenomenology We present a comprehensive polarization analysis for the process $e^{+}e^{-} \rightarrow J/ψ\rightarrow$ baryon-antibaryon pairs~$B_{1}\bar{B}_{2}$. All possible helicity amplitudes for $e^{+}e^{-} \rightarrow J/ψ$ and $J/ψ\rightarrow B_{1} \bar{B}_{2}$ are provided, along with their transformation properties under parity and $CP$ operations. Taking full account of beam polarization, we analyze the polarization of the $J/ψ$ produced in $e^{+}e^{-}$ annihilation and show that all eight independent polarization components can be nonzero. By introducing a polarization transfer matrix, we propose a novel method to compute the polarization transfer in the decay $J/ψ\rightarrow B_{1} \bar{B}_{2}$. Considering both hadronic and radiative baryon decay models, we derive the joint angular distribution of the final-state particles. Focusing on the process $J/ψ\rightarrow Λ\barΣ^{0}$, we provide statistical uncertainty estimates for probing $CP$ violation in associated production of different baryons. This work establishes a complete framework for studying the parity and $CP$ violations present in baryon productions and decays within the helicity formalism. |
| title | Polarization analysis in $e^+e^-\rightarrow J/ψ\rightarrow$ baryon-antibaryon pairs |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2508.01813 |