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(\\chi_{b}(3P)\\) Multiplet Revisited: Ultrafine Mass Splitting and Radiative Transitions
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(\\chi_{b}(3P)\\) Multiplet Revisited: Ultrafine Mass Splitting and Radiative Transitions
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Paper
(\\chi_{b}(3P)\\) Multiplet Revisited: Ultrafine Mass Splitting and Radiative Transitions
2019
Overview
Invoked by the recent CMS observation regarding candidates of the \\(\\chi_b(3P)\\) multiplet, we analyze the ultrafine and mass splittings among \\(3P\\) multiplet in our unquenched quark model (UQM) studies. The mass difference of \\(\\chi_{b2}\\) and \\(\\chi_{b1}\\) in \\(3P\\) multiplet measured by CMS collaboration (\\(10.6 \\pm 0.64 \\pm 0.17\\) MeV) is very close to our theoretical prediction (\\(12\\) MeV). Our corresponding mass splitting of \\(\\chi_{b1}\\) and \\(\\chi_{b0}\\) enables us to predict more precisely the mass of \\(\\chi_{b0}(3P)\\) to be (\\(10490\\pm 3\\)) MeV. Moreover, we predict ratios of the radiative decays of \\(\\chi_{bJ}(nP)\\) candidates, both in UQM and quark potential model. Our predicted relative branching fraction of \\(\\chi_{b0}(3P)\\to\\Upsilon(3S)\\gamma\\) is one order of magnitude smaller than \\(\\chi_{b2}(3P)\\), this naturally explains the non-observation of \\(\\chi_{b0}(3P)\\) in recent CMS search. We hope these results might provide useful references for forthcoming experimental searches.
Publisher
Cornell University Library, arXiv.org
Subject
