$B$ and $B_s$ meson spectroscopy

Properties of bottom and bottom-strange mesons are computed in two relativized quark models. Model masses and wave functions are used to predict radiative transition rates, and the ${}^3{P}_0$ quark pair creation model is used to compute strong decay widths. A comparison to recently observed bottom and bottom-strange states is made. We find that there are numerous excited $B$ and $B_s$ mesons that have relatively narrow widths and significant branching ratios to simple final states such as $B\pi$, $B^{*}\pi$, $BK$, and $B^{*}K$ that could be observed in the near future.

Figure 1

Bottom mass predictions for the AR model (blue and left sets of lines) and Godfrey-Isgur model (black and right sets of lines).

Figure 2

Strange bottom mass predictions for the AR model (blue and left sets of lines) and Godfrey-Isgur model (black and right sets of lines).

Figure 3

Mass predictions for Godfrey-Isgur (GI) and ARM (Rel) models. Solid symbols are $B$ states; open symbols are $B_s$ states.

Figure 4

Selected strong decay width predictions for Godfrey-Isgur (GI) and AR (Rel) models.

Figure 5

Relative deviation of strong decay predictions.

Figure 6

E1 transition rate predictions for Godfrey-Isgur (GI) and AR (Rel) models. Solid symbols are $B$ states; open symbols are $B_s$ states. Inset: log-log scale.

Figure 7

Relative deviations of E1 radiative transition rates.