Triangle singularity in the $J/\psi \to K^{+}{K}^{-}{f}_0(980)(a_0(980))$ decays

Abstract

We study the $J/\psi \to K^{+}{K}^{-}{f}_0(980)(a_0(980))$ reaction and find that the mechanism to produce this decay develops a triangle singularity around $M_{\mathrm{inv}}(K^{-}{f}_0/K^{-}{a}_0)\approx 1515$~MeV. The differential width $d\Gamma /d{M}_{\mathrm{inv}}(K^{-}{f}_0/K^{-}{a}_0)$ shows a rapid growth around the invariant mass being 1515~MeV as a consequence of the triangle singularity of this mechanism, which is directly tied to the nature of the $f_0(980)$ and $a_0(980)$ as dynamically generated resonances from the interaction of pseudoscalar mesons. The branching ratios obtained for the $J/\psi \to K^{+}{K}^{-}{f}_0(980)(a_0(980))$ decays are of the order of $10^{-5}$, accessible in present facilities, and we argue that their observation should provide relevant information concerning the nature of the low-lying scalar mesons.

arXiv comment12 pages, 8 figures, published in EPJC

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