decay into and vector-vector molecular states

R. Molina; L. R. Dai; L. S. Geng; E. Oset

doi:10.1140/epja/s10050-020-00176-y

EPJ

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2023 Impact factor 2.6

Hadrons and Nuclei

Eur. Phys. J. A (2020) 56: 173
https://doi.org/10.1140/epja/s10050-020-00176-y

Regular Article - Theoretical Physics

$J/\psi$ decay into $\phi (\omega )$ and vector-vector molecular states

R. Molina¹^,2^*, L. R. Dai³, L. S. Geng⁴^,5 and E. Oset¹^,6

¹ School of Physics, Beihang University, Beijing, 100191, China
² Departamento de Fisica Teorica II, and IPARCOS, Universidad Complutense de Madrid, Plaza Ciencias, 1, 28040, Madrid, Spain
³ Department of Physics, Liaoning Normal University, Dalian, 116029, China
⁴ School of Physics and Beijing Advanced Innovation Center for Big Data-based Precision Medicine, Beihang University, Beijing, 100191, China
⁵ School of Physics, Zhengzhou University, Zhengzhou, 450001, Henan, China
⁶ Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Institutos de Investigación de Paterna, Aptdo. 22085, 46071, Valencia, Spain

^* e-mail: raqumoli@ucm.es

Received: 27 September 2019
Accepted: 8 June 2020
Published online: 29 June 2020

Abstract

Based on the picture that the $f_0(1370), f_0(1710), f_2(1270), f'_2(1525), {\bar{K}}^{*0}_2(1430)$ resonances are dynamically generated from the vector-vector interaction, we study the decays $J/\psi \rightarrow \phi (\omega ) f_0(1370) [f_0(1710)]$ , $J/\psi \rightarrow \phi (\omega ) f_2(1270) [f'_2(1525)]$ , and $J/\psi \rightarrow K^{*0} {\bar{K}}^{*0}_2(1430)$ and make predictions for seven independent ratios that can be done among them. The starting mechanism is that the $J/\psi$ decays into three vectors, followed by the final state interaction of a pair of them. The weights of the different three vector primary channels are obtained from the basic assumption that the $J/\psi$ ( $c {\bar{c}}$ ) is an SU(3) singlet. By means of only one free parameter we predict four ratios in fair agreement with experiment, make two extra predictions for rates yet unmeasured, and disagree on one data for which only upper bounds are reported. Further measurements are most welcome to complete the information required for these ratios which test the nature of these resonances as dynamically generated.