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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.14876 |
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| _version_ | 1866916371052363776 |
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| author | Niu, Peng-Yu Zhang, Zhen-Yu Li, Yi-Yao Wang, Qian Zhao, Qiang |
| author_facet | Niu, Peng-Yu Zhang, Zhen-Yu Li, Yi-Yao Wang, Qian Zhao, Qiang |
| contents | Whether the $N\bar{N}$ interaction could form a state or not is a long standing question, even before the observation of the $p\bar{p}$ threshold enhancement in 2003. The recent high statistic measurement in the $J/ψ\to γ3(π^+π^-)$ channel would provide a good opportunity to probe the nature of the peak structures around the $p\bar{p}$ threshold in various processes. By constructing the $N\bar{N}$ interaction respecting chiral symmetry, we extract the pole positions by fitting the $p\bar{p}$ and $3(π^+π^-)$ invariant mass distributions of the $J/ψ\to γp \bar p$ and $J/ψ\to γ3(π^+π^-)$ processes. The threshold enhancement in the $p\bar{p}$ invariant mass distribution is from the pole on the third Riemann sheet, which more couples to the isospin triplet channel. The broader structure in the $3(π^+π^-)$ invariant mass comes from the pole on the physical Riemann sheet, which more couples to the isospin singlet channel. Furthermore, the large compositeness indicates that there should exit $p\bar{p}$ resonance based on the current experimental data. In addition, we also see a clear threshold enhancement in the $n\bar{n}$ channel, but not as significant as that in $p\bar{p}$ channel, which is useful and compared with further experimental measurement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14876 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The pole structures of the $X(1840)/X(1835)$ and the $X(1880)$ Niu, Peng-Yu Zhang, Zhen-Yu Li, Yi-Yao Wang, Qian Zhao, Qiang High Energy Physics - Phenomenology Whether the $N\bar{N}$ interaction could form a state or not is a long standing question, even before the observation of the $p\bar{p}$ threshold enhancement in 2003. The recent high statistic measurement in the $J/ψ\to γ3(π^+π^-)$ channel would provide a good opportunity to probe the nature of the peak structures around the $p\bar{p}$ threshold in various processes. By constructing the $N\bar{N}$ interaction respecting chiral symmetry, we extract the pole positions by fitting the $p\bar{p}$ and $3(π^+π^-)$ invariant mass distributions of the $J/ψ\to γp \bar p$ and $J/ψ\to γ3(π^+π^-)$ processes. The threshold enhancement in the $p\bar{p}$ invariant mass distribution is from the pole on the third Riemann sheet, which more couples to the isospin triplet channel. The broader structure in the $3(π^+π^-)$ invariant mass comes from the pole on the physical Riemann sheet, which more couples to the isospin singlet channel. Furthermore, the large compositeness indicates that there should exit $p\bar{p}$ resonance based on the current experimental data. In addition, we also see a clear threshold enhancement in the $n\bar{n}$ channel, but not as significant as that in $p\bar{p}$ channel, which is useful and compared with further experimental measurement. |
| title | The pole structures of the $X(1840)/X(1835)$ and the $X(1880)$ |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2408.14876 |