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f2(1810) as a triangle singularity

2017

We perform calculations showing that a source producing ${K}^{*}{\overline{K}}^{*}$ in $J=2$ and $L=0$ gives rise to a triangle singularity at 1810 MeV with a width of about 200 MeV from the mechanism ${K}^{*}\ensuremath{\rightarrow}\ensuremath{\pi}K$ and then $K{\overline{K}}^{*}$ merging into the ${a}_{1}(1260)$ resonance. We suggest that this is the origin of the present ${f}_{2}(1810)$ resonance and propose to look at the $\ensuremath{\pi}{a}_{1}(1260)$ mode in several reactions to clarify the issue.

Ideal trianglePhysicsEssential singularitySingularity010308 nuclear & particles physics0103 physical sciencesIsosceles triangleSchwarz triangle010306 general physicsTriangle group01 natural sciencesResonance (particle physics)Mathematical physicsPhysical Review D
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