Abstract
We study the bottomonium spectrum using a relativistic potential model in the momentum space. This model is based on a complete one gluon exchange interaction with a momentum dependent screening factor to account for the effects due to virtual pair creation that appear close to the decay thresholds. The overall model does not make use of nonrelativistic approximations. We fit well established bottomonium states below the open bottom threshold and predict the rest of the spectrum up to approx 11200 MeV and J^{PC}=3^{--}. Uncertainties are treated rigorously and propagated in full to the parameters of the model using a Monte Carlo to identify if which deviations from experimental data can be absorbed into the statistical uncertainties of the models and which can be related to physics beyond the bbar{b} picture, guiding future research. We get a good description of the spectrum, in particular the Belle measurement of the eta _b(2S) state and the varUpsilon (10860) and chi _b(3P) resonances.
Highlights
The paper is organized as follows: in Sect. 2 we provide the relativistic quark model and the employed solution method; in Sect. 3 we describe the fitting procedure as well as the statistical method used to compute the uncertainties; in Sect. 4 we report the computed bottomonium spectrum up 526 Page 2 of 12Eur
This model is based on a complete one gluon exchange interaction with a momentum dependent screening factor to account for the effects due to virtual pair creation that appear close to the decay thresholds
We incorporate a relativistic scalar interaction and a momentum dependent screening factor to account for the effects due to virtual pair creation that appear close to the decay thresholds
Summary
The paper is organized as follows: in Sect. 2 we provide the relativistic quark model and the employed solution method; in Sect. 3 we describe the fitting procedure as well as the statistical method used to compute the uncertainties; in Sect. 4 we report the computed bottomonium spectrum up. The paper is organized as follows: in Sect. we provide the relativistic quark model and the employed solution method; in Sect. we describe the fitting procedure as well as the statistical method used to compute the uncertainties; in Sect. we report the computed bottomonium spectrum up. J. C (2020) 80:526 to J PC = 3−− and ≈ 11200 MeV as well as the comparison to the available experimental information. We obtain a very good description of both fitted and nonfitted bottomonia and predict many unobserved states; Sect. We obtain a very good description of both fitted and nonfitted bottomonia and predict many unobserved states; Sect. 5 summarizes the conclusions
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