Novel method for identifying the heaviest QED atom
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866910443351572480 |
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| author | Fu, Jing-Hang Jia, Sen Zhou, Xing-Yu Zhang, Yu-Jie Shen, Cheng-Ping Yuan, Chang-Zheng |
| author_facet | Fu, Jing-Hang Jia, Sen Zhou, Xing-Yu Zhang, Yu-Jie Shen, Cheng-Ping Yuan, Chang-Zheng |
| contents | The bound state of a $τ^+τ^-$ pair by the electromagnetic force is the heaviest and smallest QED atom. Since the discovery of the two lightest QED atoms more than 60 years ago, no evidence for the third one has been found. We demonstrate that the $J_τ$ ($τ^+τ^-$ atom with $J^{PC}=1^{--}$) resonance signal can be observed with a significance larger than $5σ$ including both statistical and systematic uncertainties, via the process $e^+e^-\to X^+ Y^- \slashed{E}$ ($X,\,Y=e$, $μ$, $π$, $K$, or $ρ$, and $\slashed{E}$ is the missing energy) with $1.5~{\rm ab^{-1}}$ data taken around the $τ$ pair production threshold. The $τ$ lepton mass can be measured in a precision of 2 keV with the same data sample. This is within one year's running time of the proposed super tau-charm factory or super charm-tau factory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_00171 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Novel method for identifying the heaviest QED atom Fu, Jing-Hang Jia, Sen Zhou, Xing-Yu Zhang, Yu-Jie Shen, Cheng-Ping Yuan, Chang-Zheng High Energy Physics - Phenomenology High Energy Physics - Experiment The bound state of a $τ^+τ^-$ pair by the electromagnetic force is the heaviest and smallest QED atom. Since the discovery of the two lightest QED atoms more than 60 years ago, no evidence for the third one has been found. We demonstrate that the $J_τ$ ($τ^+τ^-$ atom with $J^{PC}=1^{--}$) resonance signal can be observed with a significance larger than $5σ$ including both statistical and systematic uncertainties, via the process $e^+e^-\to X^+ Y^- \slashed{E}$ ($X,\,Y=e$, $μ$, $π$, $K$, or $ρ$, and $\slashed{E}$ is the missing energy) with $1.5~{\rm ab^{-1}}$ data taken around the $τ$ pair production threshold. The $τ$ lepton mass can be measured in a precision of 2 keV with the same data sample. This is within one year's running time of the proposed super tau-charm factory or super charm-tau factory. |
| title | Novel method for identifying the heaviest QED atom |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2305.00171 |