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Bottomonium spectrum with a Dirac potential model in the momentum space | David Molina
; Maurizio De Sanctis
; Cesar Fernández-Ramírez
; Elena Santopinto
; | Date: |
15 Jan 2020 | 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 charm 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 $bar{b}$ 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
$Upsilon(10860)$ and $chi_b(3P)$ resonances. | Source: | arXiv, 2001.5408 | Services: | Forum | Review | PDF | Favorites |
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