Triangle singularity in the $$J/\psi \rightarrow K^+ K^- f_0(980)(a_0(980))$$ J/ψ→K+K-f0(980)(a0(980)) decays
Abstract We study the $$J/\psi \rightarrow K^+ K^- f_0(980)(a_0(980))$$ J/ψ→K+K-f0(980)(a0(980)) reaction and find that the mechanism to produce this decay develops a triangle singularity around $$M_{\mathrm{inv}}(K^- f_0/K^- a_0) \approx 1515$$ Minv(K-f0/K-a0)≈1515 MeV. The differential width $$d\...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-05-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-019-6928-8 |
| Summary: | Abstract We study the $$J/\psi \rightarrow K^+ K^- f_0(980)(a_0(980))$$ J/ψ→K+K-f0(980)(a0(980)) reaction and find that the mechanism to produce this decay develops a triangle singularity around $$M_{\mathrm{inv}}(K^- f_0/K^- a_0) \approx 1515$$ Minv(K-f0/K-a0)≈1515 MeV. The differential width $$d\varGamma / dM_{\mathrm{inv}}(K^- f_0/K^- a_0)$$ dΓ/dMinv(K-f0/K-a0) shows a rapid growth around the invariant mass being 1515 MeV as a consequence of the triangle singularity of this mechanism, which is directly tied to the nature of the $$f_0(980)$$ f0(980) and $$a_0(980)$$ a0(980) as dynamically generated resonances from the interaction of pseudoscalar mesons. The branching ratios obtained for the $$J/\psi \rightarrow K^+ K^- f_0(980)(a_0(980))$$ J/ψ→K+K-f0(980)(a0(980)) decays are of the order of $$10^{-5}$$ 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. |
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| ISSN: | 1434-6044 1434-6052 |