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Measurement of the Mass Splittings between the $b\bar{b}χ_{b,J}(1P)$ States

K. Edwards
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Abstract

We present new measurements of photon energies and branching fractions for the radiative transitions: Upsilon(2S)->gamma+chi_b(J=0,1,2). The masses of the chi_b states are determined from the measured radiative photon energies. The ratio of mass splittings between the chi_b substates, r==(M[J=2]-M[J=1])/(M[J=1]-M[J=0]) with M the chi_b mass, provides information on the nature of the bbbar confining potential. We find r(1P)=0.54+/-0.02+/-0.02. This value is in conflict with the previous world average, but more consistent with the theoretical expectation that r(1P)<r(2P); i.e., that this mass splittings ratio is smaller for the chi_b(1P) triplet than for the chi_b(2P) triplet.

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K. Edwards. 1998-03-12. Measurement of the Mass Splittings between the $b\bar{b}χ_{b,J}(1P)$ States. https://doi.org/10.1103/physrevd.59.032003

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