(\chi_{c1}\) decays into a pseudoscalar meson and a vector-vector molecule

We evaluate ratios of the \(\chi_{c1}\) decay rates to \(\eta\) (\(\eta', K^-\)) and one of the \(f_0(1370)\), \(f_0(1710)\), \(f_2(1270)\), \(f_2'(1525)\), \(K^{*}_2(1430)\) resonances, which in the local hidden gauge approach are dynamically generated from the vector-vector interaction....

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Bibliographic Details
Published in:arXiv.org 2019-09
Main Authors: Ikeno, Natsumi, Dias, Jorgivan M, Wei-Hong, Liang, Oset, Eulogio
Format: Article
Language:English
Subjects:
Decay rate
Online Access:Get full text
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Summary:We evaluate ratios of the \(\chi_{c1}\) decay rates to \(\eta\) (\(\eta', K^-\)) and one of the \(f_0(1370)\), \(f_0(1710)\), \(f_2(1270)\), \(f_2'(1525)\), \(K^{*}_2(1430)\) resonances, which in the local hidden gauge approach are dynamically generated from the vector-vector interaction. With the simple assumption that the \(\chi_{c1}\) is a singlet of SU(3), and the input from the study of these resonances as vector-vector molecular states, we describe the experimental ratio \(\mathcal{B}(\chi_{c1} \rightarrow \eta f_2(1270))/ \mathcal{B}(\chi_{c1} \rightarrow \eta' f_2'(1525))\) and make predictions for six more ratios that can be tested in future experiments.
ISSN:2331-8422
DOI:10.48550/arxiv.1909.11906