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

Abstract

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

6 pages, 5 figures

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Cited by in corpus (4)

• Roles of the $N(1535)$ and $a_0(980)$ in the process ${\Lambda }_c^{+}\to {\pi }^{+}\eta n$
• Hadronic decay $D^{+}\to {\pi }^{+}\eta \eta$ and the $a_0(980)$ and $f_0(1370)$ contributions
• The $B^{-}\to J/\psi {\eta }^{\prime }{K}^{-}$ reaction and the $Y(4710)$ and $K_0^{\ast }(1430)$ contributions
• Roles of $a_0(980)$ and $a_0(1710)$ in Cabibbo-suppressed process $D^{+}\to {\pi }^0{\pi }^{+}\eta$