<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>b</mml:mi></mml:math>-hadron spectroscopy study based on the similarity of double bottom baryon and bottom meson
Bing Chen, Si-Qiang Luo, Ke-Wei Wei, Xiang Liu
Abstract
The dynamical similarity which exists between the $\ensuremath{\lambda}$-mode excited $bbq$ baryons ($q$ refers to the $u$, $d$, and $s$ quarks) and the $\overline{b}q$ mesons inspires us to carry out a combined study of their spectroscopy. In this work, the masses and strong decays of these low-lying $b\overline{q}$ and $bbq$ states are studied by the same theoretical methods, and the dynamical similarity which is implied in their mass spectra and strong decays are also discussed. The recent discovered $\overline{b}q$ states, including the ${B}_{J}(5840)$, ${B}_{J}(5970)$, ${B}_{sJ}(6064)$, and ${B}_{sJ}(6114)$, are analyzed. According to our result, the ${B}_{J}(5840)$ could be assigned as a $2S$ state, while the ${B}_{J}(5970)$ could be regarded as a member of the $1D({2}^{\ensuremath{-}},{3}^{\ensuremath{-}}{)}_{{j}_{q}=5/2}$ doublet. The ${B}_{sJ}(6064)$ and ${B}_{sJ}(6114)$ are probably the $D$-wave states. Especially, they could be explained as the members of the $1D({1}^{\ensuremath{-}},{2}^{\ensuremath{-}}{)}_{{j}_{q}=3/2}$ and $1D({2}^{\ensuremath{-}},{3}^{\ensuremath{-}}{)}_{{j}_{q}=5/2}$ doublets, respectively. The predicted masses and decay properties of other unknown $\overline{b}q/bbq$ states may provide useful clues to the future experiment.