Study of the decay pattern of $f_0 (1370)$ as a $κ\bar{κ}$ molecular state
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866915836695937024 |
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| author | Cheng, Yin Zou, Bing-Song |
| author_facet | Cheng, Yin Zou, Bing-Song |
| contents | Under the hypothesis that the $f_0(1370)$ is a $κ\barκ$ molecular state, we calculate the partial widths of its various decay channels, including the two-body decay $K \bar{K}$, $ππ$, $ηη$ and the four-body decay $ρρ/ σσ\to 4 π$ and $K \bar{K} ππ$. The coupling of $g_{f_0(1370) κ\barκ}\approx 13$ GeV estimated from the Weinberg criterion yields a width of $f_0(1370)$ significantly smaller than the experimental data. By adjusting this coupling to $25 \sim 40$ GeV, the total width of $f_0(1370)$ can be fitted to the measured value $200\sim 500$ MeV. At the center-of-mass energy $\sqrt{s}=1.37$ GeV, the channels that mainly contribute to the total width are $K \bar{K}$, $ππ$ and $4 π$ ranked as $Γ(K \bar{K }) > Γ(4 π) \approx Γ(ππ) $ with $g_{f_0(1370) κ\barκ}= 35$ GeV. Around $1.37$ GeV, the decay widths of the two-body channels $K \bar{K}$, $ππ$ and $ηη$ remain stable with variation in $\sqrt{s}$, whereas the decay widths of the four-body channels $4 π$ and $K \bar{K }ππ$ increase continuously with $\sqrt{s}$. Most current data are model-dependent and conflicting, particularly regarding the conclusion of $4 π$ dominance and the ratio of $K\bar{K}$ to $ππ$ decay widths. The current data can not rule out the $κ\barκ$ assignment for $f_0(1370)$. Further reliable theoretical and experimental analyses of $f_0(1370)$ are required to reveal its nature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_21853 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Study of the decay pattern of $f_0 (1370)$ as a $κ\bar{κ}$ molecular state Cheng, Yin Zou, Bing-Song High Energy Physics - Phenomenology Under the hypothesis that the $f_0(1370)$ is a $κ\barκ$ molecular state, we calculate the partial widths of its various decay channels, including the two-body decay $K \bar{K}$, $ππ$, $ηη$ and the four-body decay $ρρ/ σσ\to 4 π$ and $K \bar{K} ππ$. The coupling of $g_{f_0(1370) κ\barκ}\approx 13$ GeV estimated from the Weinberg criterion yields a width of $f_0(1370)$ significantly smaller than the experimental data. By adjusting this coupling to $25 \sim 40$ GeV, the total width of $f_0(1370)$ can be fitted to the measured value $200\sim 500$ MeV. At the center-of-mass energy $\sqrt{s}=1.37$ GeV, the channels that mainly contribute to the total width are $K \bar{K}$, $ππ$ and $4 π$ ranked as $Γ(K \bar{K }) > Γ(4 π) \approx Γ(ππ) $ with $g_{f_0(1370) κ\barκ}= 35$ GeV. Around $1.37$ GeV, the decay widths of the two-body channels $K \bar{K}$, $ππ$ and $ηη$ remain stable with variation in $\sqrt{s}$, whereas the decay widths of the four-body channels $4 π$ and $K \bar{K }ππ$ increase continuously with $\sqrt{s}$. Most current data are model-dependent and conflicting, particularly regarding the conclusion of $4 π$ dominance and the ratio of $K\bar{K}$ to $ππ$ decay widths. The current data can not rule out the $κ\barκ$ assignment for $f_0(1370)$. Further reliable theoretical and experimental analyses of $f_0(1370)$ are required to reveal its nature. |
| title | Study of the decay pattern of $f_0 (1370)$ as a $κ\bar{κ}$ molecular state |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2602.21853 |