Study of orbitally excited $B$ mesons and evidence for a new $B\pi$ resonance

Using the full CDF Run II data sample, we report evidence for a new resonance, which we refer to as $B(5970)$, found simultaneously in the $B^0{\pi }^{+}$ and $B^{+}{\pi }^{-}$ mass distributions with a significance of 4.4 standard deviations. We further report the first study of resonances consistent with orbitally excited $B^{+}$ mesons and an updated measurement of the properties of orbitally excited $B^0$ and $B_s^0$ mesons. We measure the masses and widths of all states, as well as the relative production rates of $B_1$, $B_2^{\ast }$, and $B(5970)$ states and the branching fraction of the $B_{s2}^{\ast 0}$ state to either $B^{\ast +}{K}^{-}$ and $B^{+}{K}^{-}$. Furthermore, we measure the production rates of the orbitally excited $B^{0,+}$ states relative to the $B^{0,+}$ ground state. The masses of the new $B(5970)$ resonances are $5978\pm 5(\text{stat})\pm 12(\text{syst}){\text{ MeV/c}}^2$ for the neutral state and $5961\pm5($\text{stat}$)\pm12($\text{syst}$) \textrm{ MeV/c}^{2}$forthechargedstate,assumingthattheresonancedecaysinto$B\pi$finalstates\mathrm{.}Thepropertiesoftheorbitallyexcitedandthenew$B(5970)^{0,+}$ states are compatible with isospin symmetry.