Structure of the $(0^{+},1^{+})$ mesons $B_{s0}$ and $B_{s1}$, and the strong coupling constants $g_{B_{s0}BK}$ and $g_{B_{s1}{B}^{\ast }K}$

Abstract

In this article, we take the point of view that the bottomed $(0^{+},1^{+})$ mesons $B_{s0}$ and $B_{s1}$ are the conventional $b\bar{s}$ meson, and calculate the strong coupling constants $g_{B_{s0}BK}$ and $g_{B_{s1}{B}^{\ast }K}$ with the light-cone QCD sum rules. The numerical values of strong coupling constants $g_{B_{s1}{B}^{\ast }K}$ and $g_{B_{s0}BK}$ are very large, and support the hadronic dressing mechanism. Just like the scalar mesons $f_0(980)$, $a_0(980)$, $D_{s0}$ and axial-vector meson $D_{s1}$, the $(0^{+},1^{+})$ bottomed mesons $B_{s0}$ and $B_{s1}$ may have small $b\bar{s}$ kernels of the typical $b\bar{s}$ meson size, the strong couplings to the hadronic channels (or the virtual mesons loops) may result in smaller masses than the conventional $b\bar{s}$ mesons in the potential quark models, and enrich the pure $b\bar{s}$ states with other components.

arXiv comment16 pages, 3 figures, third version, add two sum rules in the heavy quark limit

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• The B_{s0} meson and the B_{s0}B K coupling from QCD sum rules
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• Investigation of the $D_s^{\ast }{D}_s{\eta }^{(\prime )}$ and $B_s^{\ast }{B}_s{\eta }^{(\prime )}$ vertices via QCD sum rules
• $B\to A$ transitions in the light-cone QCD sum rules with the chiral current
• $B_{s1}^{\ast }{B}^{\ast }K$ form factor from QCD sum rules
• The strong vertices of charmed mesons $D$, $D^{\ast }$ and charmonia $J/\psi$, ${\eta }_c$
• Strong decays $B_{s0}\to B_s\pi$ and $B_{s1}\to B_s^{\ast }\pi$ with light-cone QCD sum rules
• Radiative decays of the $(0^{+},1^{+})$ strange-bottom mesons
• The strong vertices of bottom mesons $B$, $B^{\ast }$ and bottomonia ${\rm Y}$, ${\eta }_b$
• Strong coupling constant of vector bottomonium to the pseudoscalar and vector $B_c$ mesons via QCD sum rules
• A search for $B_{s0}^{\ast }$ and $B_{s1}^{\ast }$ through the $K^{-}p$ interaction