The ${\bar{B}}_s^0\to J/\psi {\pi }^0\eta$ decay and the $a_0(980)-f_0(980)$ mixing

Abstract

We study the ${\bar{B}}_s^0\to J/\psi f_0(980)$ and ${\bar{B}}_s^0\to J/\psi a_0(980)$ reactions, and pay attention to the different sources of isospin violation and mixing of $f_0(980)$ and $a_0(980)$ resonances where these resonances are dynamically generated from meson-meson interaction. We find that the main cause of isospin violation is the isospin breaking in the meson-meson transition $T$ matrices, and the other source is that the loops involving kaons in the production mechanism do not cancel due to the different masses of the charged and neutral kaons. We obtain a branching ratio for $a_0(980)$ production of the order of $5\times 10^{-6}$. Future experiments can address this problem, and the production rate and shape of the ${\pi }^0\eta$ mass distribution will definitely help to better understand the nature of scalar resonances.

12 pages, 4 figures; v2: version published in Chin. Phys. C

References in corpus (10)

• $B^0$ and $B_s^0$ decays into $J/\psi$ $f_0(980)$ and $J/\psi$ $f_0(500)$ and the nature of the scalar resonances
• $f_1(1285)$ decays into $a_0(980){\pi }^0$, $f_0(980){\pi }^0$ and isospin breaking
• Possibility of measuring a0(980)-f0(980) mixing from J/psi -> phi a0
• Investigation of a0-f0 mixing
• Amplitude analysis of the ${\chi }_{c1}\to \eta {\pi }^{+}{\pi }^{-}$ decays
• Study a0(980)-f0(980) mixing from a0(980) -> f0(980) transition
• Triangle singularity in the $J/\psi \to K^{+}{K}^{-}{f}_0(980)(a_0(980))$ decays
• The $D_s^{+}\to a_0(980)e^{+}{\nu }_e$ reaction and the $a_0(980)-f_0(980)$ mixing
• $a_0(980)-f_0(980)$ mixing in ${\chi }_{c1}\to {\pi }^0{f}_0(980)\to {\pi }^0{\pi }^{+}{\pi }^{-}$ and ${\chi }_{c1}\to {\pi }^0{a}_0(980)\to {\pi }^0{\pi }^0\eta$
• Study of $a_0^0(980)$-$f_0(980)$ mixing from $a_0(1450)\to a_0^0(980)f_0(500)\to {\pi }^{+}{\pi }^{-}{f}_0(500)$