Hunting for $X_b$ via hidden bottomonium decays $X_b\to ππχ_{bJ}$
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929249870413824 |
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| author | Jia, Zhao-Sai Zhang, Zhen-Hua Qin, Wen-Hua Li, Gang |
| author_facet | Jia, Zhao-Sai Zhang, Zhen-Hua Qin, Wen-Hua Li, Gang |
| contents | In this work, we investigate the isospin breaking decay $X_b \to π^0χ_{bJ}$ and the isospin conserved decay $X_b \to ππχ_{bJ}$, where $X_b$ is taken to be the heavy quark flavor symmetry counterpart of $X(3872)$ in the bottomonium sector as a $B^*\bar B$ molecule candidate. Since the mass of this state may be far below the $B {\bar B}^*$ threshold and the mass difference between the neutral and charged bottom meson is small compared to the binding energy of the $X_b$, the isospin-violating decay channel $X_b \to π^0 χ_{bJ}$ would be highly suppressed. The calculated partial width of $X_b \to ππχ_{b1}$ is found to be about tens of $\rm{keVs}$, $1\sim 2$ order(s) of magnitude larger than those of $X_b \to ππχ_{b2}$ and $X_b \to ππχ_{b0}$. Taking into account the fact that the total width of $X_b$ may be smaller than a few MeV like $X(3872)$, the calculated branching ratios $X_b\to ππχ_{b1}$ may reach to orders of $10^{-2}$, which makes it a possible channel for the experimental searching of the $X_b$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_15527 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hunting for $X_b$ via hidden bottomonium decays $X_b\to ππχ_{bJ}$ Jia, Zhao-Sai Zhang, Zhen-Hua Qin, Wen-Hua Li, Gang High Energy Physics - Phenomenology In this work, we investigate the isospin breaking decay $X_b \to π^0χ_{bJ}$ and the isospin conserved decay $X_b \to ππχ_{bJ}$, where $X_b$ is taken to be the heavy quark flavor symmetry counterpart of $X(3872)$ in the bottomonium sector as a $B^*\bar B$ molecule candidate. Since the mass of this state may be far below the $B {\bar B}^*$ threshold and the mass difference between the neutral and charged bottom meson is small compared to the binding energy of the $X_b$, the isospin-violating decay channel $X_b \to π^0 χ_{bJ}$ would be highly suppressed. The calculated partial width of $X_b \to ππχ_{b1}$ is found to be about tens of $\rm{keVs}$, $1\sim 2$ order(s) of magnitude larger than those of $X_b \to ππχ_{b2}$ and $X_b \to ππχ_{b0}$. Taking into account the fact that the total width of $X_b$ may be smaller than a few MeV like $X(3872)$, the calculated branching ratios $X_b\to ππχ_{b1}$ may reach to orders of $10^{-2}$, which makes it a possible channel for the experimental searching of the $X_b$. |
| title | Hunting for $X_b$ via hidden bottomonium decays $X_b\to ππχ_{bJ}$ |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2311.15527 |