Bottomonium Spectroscopy and Radiative Transitions Involving the χ_{bJ} (1p, 2p) States at BaBar

We use (121 ± 1) million ϒ(3S) and (98 ± 1) million ϒ(2S) mesons recorded by the BABAR detector at the PEP-II e⁺e⁻ collider at SLAC to perform a study of radiative transitions involving the χ_{bJ}(1P, 2P) states in exclusive decays with μ⁺μ⁻γγ final states. We reconstruct twelve channels in four cascades using two complementary methods. In the first we identify both signal photon candidates in the electromagnetic calorimeter (EMC), employ a calorimeter timing-based technique to reduce backgrounds, and determine branching-ratio products and fine mass splittings. These results include the best observational significance yet for the χ_{b0}(2P) → γϒ(2S) and χ_{b0}(1P) → γϒ(1S) transitions. In the second method, we identify one photon candidate in the EMC and one which has converted into an e⁺e⁻ pair due to interaction with detector material, and we measure absolute product branching fractions. This method is particularly useful for measuring ϒ(3S) → γχ_{b1,2}(1P) decays. Additionally, we provide the most up-to-date derived branching fractions, matrix elements and mass splittings for χ_b transitions in the bottomonium system. Using a new technique, we also measure the two lowest-order spin-dependent coefficients in the nonrelativistic QCD Hamiltonian.