The strong vertices of bottom mesons $B$, $B^{*}$ and bottomonia $Υ$, $η_{b}$
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866911764757610496 |
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| author | Lu, Jie Yu, Guo-Liang Wang, Zhi-Gang Wu, Bin |
| author_facet | Lu, Jie Yu, Guo-Liang Wang, Zhi-Gang Wu, Bin |
| contents | In this article, the strong coupling constants of vertices $BBΥ$, $BB^{*}Υ$, $B^{*}B^{*}Υ$, $BB^{*}η_{b}$ and $B^{*}B^{*}η_{b}$ are analyzed in the framework of QCD sum rules. In this work, all possible off-shell cases and the contributions of vacuum condensate terms including $\langle\overline{q}q\rangle$, $\langle\overline{q}g_{s}σGq\rangle$, $\langle g_{s}^{2}G^{2}\rangle$, $\langle f^{3}G^{3}\rangle$ and $\langle\overline{q}q\rangle\langle g_{s}^{2}G^{2}\rangle$ are considered. The momentum dependent strong coupling constants are first calculated and then are fitted into analytical functions $g(Q^{2})$ which are used to extrapolate into time-like regions to obtain the final values of strong coupling constants. The final results are $g_{BBΥ}=40.67^{+7.55}_{-4.20}$, $g_{BB^{*}Υ}=11.58^{+2.19}_{-1.09}$ GeV$^{-1}$, $g_{B^{*}B^{*}Υ}=57.02^{+5.32}_{-5.31}$, $g_{BB^{*}η_{b}}=23.39^{+4.74}_{-2.30}$ and $g_{B^{*}B^{*}η_{b}}=12.49^{+2.12}_{-1.35}$ GeV$^{-1}$. These strong coupling constants are important input parameters which reflect the dynamic properties of the interactions among the mesons and quarkonia. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_05090 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The strong vertices of bottom mesons $B$, $B^{*}$ and bottomonia $Υ$, $η_{b}$ Lu, Jie Yu, Guo-Liang Wang, Zhi-Gang Wu, Bin High Energy Physics - Phenomenology In this article, the strong coupling constants of vertices $BBΥ$, $BB^{*}Υ$, $B^{*}B^{*}Υ$, $BB^{*}η_{b}$ and $B^{*}B^{*}η_{b}$ are analyzed in the framework of QCD sum rules. In this work, all possible off-shell cases and the contributions of vacuum condensate terms including $\langle\overline{q}q\rangle$, $\langle\overline{q}g_{s}σGq\rangle$, $\langle g_{s}^{2}G^{2}\rangle$, $\langle f^{3}G^{3}\rangle$ and $\langle\overline{q}q\rangle\langle g_{s}^{2}G^{2}\rangle$ are considered. The momentum dependent strong coupling constants are first calculated and then are fitted into analytical functions $g(Q^{2})$ which are used to extrapolate into time-like regions to obtain the final values of strong coupling constants. The final results are $g_{BBΥ}=40.67^{+7.55}_{-4.20}$, $g_{BB^{*}Υ}=11.58^{+2.19}_{-1.09}$ GeV$^{-1}$, $g_{B^{*}B^{*}Υ}=57.02^{+5.32}_{-5.31}$, $g_{BB^{*}η_{b}}=23.39^{+4.74}_{-2.30}$ and $g_{B^{*}B^{*}η_{b}}=12.49^{+2.12}_{-1.35}$ GeV$^{-1}$. These strong coupling constants are important input parameters which reflect the dynamic properties of the interactions among the mesons and quarkonia. |
| title | The strong vertices of bottom mesons $B$, $B^{*}$ and bottomonia $Υ$, $η_{b}$ |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2307.05090 |