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Study of D_s^+→f_0 (980) ρ^+ and ϕπ^+ decays through D_s^+→π^+ π^+ π^- π^0

2025-01-08 Author:
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The BESIII collaboration recently reported the first amplitude analysis and branching fraction measurement of Ds+→π+ π+ π- π0 decays. The results have been published recently in Physics Review Letters on 7th Jan. 2025 [Phys. Rev. Lett. 134, 011904 (2025)].

The exploration of charmed-meson D(s)  hadronic decays allows the interplay of short-distance weak-decay matrix elements and long-distance Quantum Chromodynamics (QCD) interactions to be studied, which accommodates an interacting picture of the Standard Model for both strong and weak force. Among D(s)  hadronic decays, Ds+→f0 (980) ρ+ is of particular importance as it mainly involves a W-external-emission channel, so that final-state interactions are key ingredients in the production of light scalar mesons, which are of particular interest given the lack of consensus on whether these particles are members of the normal scalar meson nonet or four-quark states. Another interesting intermediate decay Ds+→ϕπ+, which is a key reference channel for Ds decays, can be studied through ϕ→π+ π- π0. The data in the PDG on the OZI suppressed ϕ→ρπ decays are mostly from e+e- collisions on the ϕ peak. The possible interference effect between e+e-→γ*→ρπ and e+e-→ϕ→ρπ may not be well considered, and therefore, BESIII provides another test of the ϕ decay, in which non such interference arises.

In the work, observation of Ds+→f0 (980) ρ(770)+ is reported with a statistical significance greater than 10σ. Moreover, the relative branching fraction between ϕ→π+ π- π0 and ϕ→K+ K- is measured to be B(ϕ(1020)→π+ π- π0)/B(ϕ(1020)→K+ K- ) =0.230±0.014"stat." ±0.010"syst." , which deviates from the world average value by more than 4σ. Figure below shows the invariant mass projections of the amplitude analysis. These results raise high impact to the studies on Ds hadronic decays and ϕ meson physics.

 
FIG. 1. The projections on invariant mass of the amplitude analysis results Black dots with error bars are data. Red lines are projections of amplitude model. Blue histograms are background shapes.


Further reading:
UL: https://link.aps.org/doi/10.1103/PhysRevLett.134.011904
DOI:10.1103/PhysRevLett.134.011904