Roles of the scalar $f_0(500)$ and $f_0(980)$ in the process $D^0\to \pi^0\pi^0 \bar{K}^0$

• DOI: 10.48550/arxiv.2409.09966
• Publication Date: 2024-09-15
• Authors: Xiaohui Zhang; Han Zhang; B. C. Ke; Lijuan Liu; De-Min Li; En Wang
• Keywords: Bar (unit)

Motivated by the near-threshold enhancement and dip structure around 1~GeV in $\pi^0\pi^0$ invariant mass distribution of process $D^0\to \pi^0\pi^0\bar{K}^0$ observed CLEO Collaboration, we have investigated this taking into account contribution from $S$-wave pseudoscalar meson-pseudoscalar meson interactions within chiral unitary approach, also one intermediate resonance $K^{*}(892)$. Our results are good agreement with measurements, which implies that, near threshold is mainly due to contributions scalar $f_0(500)$ $K^*$, cusp should be associated $f_0(980)$.