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Triangle singularity in the decay
In this work, we study the role of triangle singularity in the decay. We find that through a triangle mechanism,
involving a triangle loop composed by , and , this decay may
develop a triangle singularity and produce a visible peak in the invariant mass
around 1.73 GeV with a width of 0.02 GeV. Such a triangle
mechanism may also cause significant spin effects on the final , which
can be detected by measuring its spin density matrix elements. Our calculations
show that the branching ratios due to the triangle mechanism is Br()=. Hopefully, this
reaction can be investigated at BESIII and future experiments, e.g. Super
Tau-Charm Facility, and the narrow width of the induced structure, the moving
TS position and the distinct features of the spin density matrix elements of
the may serve as signals for the triangle singularity mechanism.Comment: 7 pages, 5 figure
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