Observation of the isospin breaking decay ${\rm Y}(10860)\to {\rm Y}(1S)f_0(980)\to {\rm Y}(1S)\eta {\pi }^0$ with the Belle II detector

Abstract

Using the Belle data on the decay ${\rm Y}(10860)\to {\rm Y}(1S)f_0(980)\to {\rm Y}(1S){\pi }^{+}{\pi }^{-}$, we estimate the fraction of the process ${\rm Y}(10860)\to {\rm Y}(1S)f_0(980)\to {\rm Y}(1S)\eta {\pi }^0$, caused by the mixing of $a_0^0(980)$ and $f_0(980)$ resonances that breaks the isotopic invariance due to the $K^{+}$ and $K^0$ meson mass difference. With an instantaneous luminosity of $8\times 10^{35}$ cm${}^2\cdot$\,s${}^{-1}$ at the SuperKEKB collider, one can collect with the Belle II detector about a hundred ${\rm Y}(10860)\to {\rm Y}(1S)\eta {\pi }^0$ events in the narrow region of the $\eta {\pi }^0$ invariant mass near the $K\bar{K}$ thresholds in a time roughly spent on the present Belle experiment.

arXiv comment5 pages, 2 figures; the comment is added, Ref. [6], that the using of the Flatte propagators for the $f_0(980)$ and $a_0(980)$ states with the masses under the $K\bar{K}$ thresholds requires the renormalization of the masses!

References in corpus (9)

• Evidence for Large Direct CP Violation in B+-=>rho(770)0K+- from Analysis of the Three-Body Charmless B+-=>K+-pi+-pi-+ Decay
• Search for the scalar $a_0$ and $f_0$ mesons in the reactions $e^{+}{e}^{-}\to \gamma {\pi }^0{\pi }^0(\eta )$
• Amplitude analysis of e+e- => Y(nS)pi+pi- at sqrt(s)=10.865 GeV
• Production of scalar $K\bar{K}$ molecules in $\varphi$ radiative decays
• Study of a0(980)--f0(980) mixing
• Propagators of light scalar mesons
• Mechanisms of the isospin-breaking decay $f_1(1285)\to f_0(980){\pi }^0\to {\pi }^{+}{\pi }^{-}{\pi }^0$
• Interference phenomena in the decay $D_s^{+}\to \eta {\pi }^0{\pi }^{+}$ induced by the $a_0^0(980)-f_0(980)$ mixing
• Manifestations of the $a_0^0(980)-f_0(980)$ mixing in $D^0\to K_S^0{\pi }^{+}{\pi }^{-}$ and $D^0\to K_S^0\eta {\pi }^0$ decays

Cited by in corpus (5)

• Light scalar mesons and two-kaon correlation functions
• Strong isospin symmetry breaking in light scalar meson production
• Resonant contributions to three-body $B_{(s)}\to [D^{(\ast )},{\bar{D}}^{(\ast )}]K^{+}{K}^{-}$ decays in the perturbative QCD approach
• Study of the isospin breaking decay $\mathbf{Y}(2175)\to \mathbf{\varphi }{\mathbf{f}}_0(980)\to \mathbf{\varphi \eta }{\mathbf{\pi }}^0$ at BESIII
• Study of $a_0^0(980)$-$f_0(980)$ mixing from $a_0(1450)\to a_0^0(980)f_0(500)\to {\pi }^{+}{\pi }^{-}{f}_0(500)$