Strong vertices of bottom mesons B and B* and bottomonia , b

CHINESE PHYSICS C(2024)

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Abstract
In this study, the strong coupling constants of vertices BB Upsilon, BB & lowast;Upsilon, B & lowast;B & lowast;Upsilon, BB & lowast;eta b , and B & lowast;B & lowast;eta b are analyzed in the framework of QCD sum rules. All possible off-shell cases and the contributions of vacuum condensate terms including <qq >, <qgs sigma Gq >, < g2sG2 >, < f3G3 > , and <qq >< g2sG2 > are considered. The momentum dependent strong coupling constants are first calculated and then fitted into the analytical function g(Q2), which is extrapolated to time-like regions to obtain the final values of strong coupling constants. The final results are gBB Upsilon=40.67+7.55-4.20, gBB & lowast;Upsilon=11.58+2.19-1.09 GeV-1, gB & lowast;B & lowast;Upsilon=57.02+5.32-5.31, gBB & lowast;eta b=23.39+4.74-2.30 , and gB & lowast;B & lowast;eta b=12.49+2.12-1.35 GeV-1. These strong coupling constants are important input parameters that reflect the dynamic properties of the interactions among the mesons and quarkonia.
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Key words
bottom meson,strong coupling constants,QCD sum rules
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