New Heavy-Light Mesons $Q\bar{q}$

Abstract

We succeed in reproducing the $\ell =1$ $B$ mesons, $B_1(5720)$, $B_2^{\ast }(5745)$, and $B_{s2}^{\ast }(5839)$ that are recently reported by D0 and CDF, by using our semirelativistic quark potentila model, which also succeeded in predicting the mass spectra of the narrow $D_{sJ}$ as well as broad $D_0^{\ast }(0^{+})$ and $D_1^{\prime }(1^{+})$ particles a couple of years ago. Mass of higher excited states ($\ell =1,2$) of $B$ and $B_s$ mesons, which are not yet observed, is also predicted at the first order in $p/m_b$. We find the corresponding $B_{sJ}$ are below $BK/B^{\ast }K$ threshold and should have narrow decay widths contrary to most other predictions. Also already established states ($\ell =0$ and $\ell =1$) of $D$, $D_s$, $B$, and $B_s$ heavy mesons are simultaneously reproduced in good agreement with experimental data within one percent of accuracy. To calculate these $D/D_s$ and $B/B_s$ heavy mesons we use different values of strong coupling ${\alpha }_s$ which conforms to a notion of running coupling.

14 pages, 4 figures, references corrected

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