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. Using samples of approximately 8400 $B^{**0}$, 3300 $B^{**+}$, 1350 $B^{**0}_s$, 2600 $B(5970)^0$, and 1400 $B(5970)^+$ decays, we measure the masses and widths of all states, as well as the product of the relative production rate of $B_1$ and $B_2^*$ states times the branching fraction into a $B^{0,+}$ meson and a charged particle. Furthermore, we measure the branching fraction of the $B_{s2}^{*0} \rightarrow B^{*+} K^-$ decay relative to the $B_{s2}^{*0} \rightarrow B^{+} K^-$ decay, the production rate times the branching fraction of the B(5970) state relative to the $B_{2}^{*0,+}$ state, and the production rate of the orbitally excited $B^{0,+}$ states relative to the $B^{0,+}$ ground state. The masses of the new B(5970) resonances are $5978\pm5(\textrm{stat})\pm12(\textrm{syst}) \textrm{MeV/c}^{2}$ for the neutral state and $5961\pm5(\textrm{stat})\pm12(\textrm{syst}) \textrm{MeV/c}^{2}$ for the charged state, assuming that the resonance decays into $B\pi$ final states. The properties of the orbitally excited and the new $B(5970)^{0,+}$ states are compatible with isospin symmetry.