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 the B-1, B-2*, and B(5970) states and the branching fraction of the B-s2*(0) B-s2*(0) state to either B*K-+(-) and B+K-. Furthermore, we measure the production rates of the orbitally excited B-0,B-+ states relative to the B-0,B-+ ground state. The masses of the new B(5970) resonances are 5978 +/- 5(stat) +/- 12(syst)MeV/c(2) for the neutral state and 5961 +/- 5(stat) +/- 12(syst) 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.
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