Isospin violation in J/Psi to phi pi0 eta decay and the f0-a0 mixing

Abstract

The isospin violating $J/\Psi \to \varphi {\pi }^0\eta$ decay is thought to be dominated by the mixing of the $f_0(980)$ and $a_0(980)$ scalar resonances. We make a theoretical evaluation of the $J/\Psi \to \varphi {\pi }^0\eta$ decay extending our own previous model for other $J/\Psi$ decays into one vector meson and two pseudoscalars using the techniques of the chiral unitary approach. The scalar resonances are dynamically generated through the final state interaction of the pseudoscalar mesons implementing unitarity from the lowest order ChPT amplitudes. Besides the direct $J/\Psi \varphi PP$ vertex, other mechanisms like the sequential exchange of vector and axial-vector mesons are shown to be important in order to obtain the actual strength of the mixing. We get a very good agreement with the ${\pi }^0\eta$ invariant mass distribution and branching ratio with recent BESIII data. Quantification of the $f_0(980)-a_0(980)$ mixing is done and compared with results from several experiments.

7 pages, 7 figures

References in corpus (9)

• The puzzle of anomalously large isospin violations in $\eta (1405/1475)\to 3\pi$
• On the Strangeness -1 S-wave Meson-Baryon Scattering
• First observation of $\eta (1405)$ decays into $f_0(980){\pi }^0$
• Isospin breaking and $f_0(980)$-$a_0(980)$ mixing in the $\eta (1405)\to {\pi }^0{f}_0(980)$ reaction
• Possibility of measuring a0(980)-f0(980) mixing from J/psi -> phi a0
• Investigation of a0-f0 mixing
• Study a0(980)-f0(980) mixing from a0(980) -> f0(980) transition
• Study of a0(980)--f0(980) mixing
• Improved Analysis of J/psi Decays into a Vector Meson and Two Pseudoscalars

Cited by in corpus (26)

• $B^0$ 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
• Isospin breaking decay $\eta (1405)\to f_0(980){\pi }^0\to 3\pi$
• Theoretical interpretation of the $D_s^{+}\to {\pi }^{+}{\pi }^0\eta$ decay and the nature of $a_0(980)$
• Constraint on K Kbar compositeness of the a0(980) and f0(980) resonances from their mixing intensity
• Observation of $a_0^0(980)$-$f_0(980)$ Mixing
• $B^0$ and $B_s^0$ decays into $J/\psi$ plus a scalar or vector meson
• Search for the $a_0(980)-f_0(980)$ mixing in weak decays of $D_s/B_s$ mesons
• Abnormal isospin violation and $a_0-f_0$ mixing in the $D_s^{+}\to {\pi }^{+}{\pi }^0{a}_0(980)(f_0(980))$ reactions
• $f_0(980)$ production in $D_s^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}$ and $D_s^{+}\to {\pi }^{+}{K}^{+}{K}^{-}$ decays
• Anomalous enhancement of the isospin-violating $\Lambda (1405)$ production by a triangle singularity in ${\Lambda }_c\to {\pi }^{+}{\pi }^0{\pi }^0{\Sigma }^0$
• Triangle singularities in $J/\psi \to \eta {\pi }^0\varphi$ and ${\pi }^0{\pi }^0\varphi$
• Mechanisms of the isospin-breaking decay $f_1(1285)\to f_0(980){\pi }^0\to {\pi }^{+}{\pi }^{-}{\pi }^0$
• The $D_s^{+}\to a_0(980)e^{+}{\nu }_e$ reaction and the $a_0(980)-f_0(980)$ mixing
• Remarks on non-perturbative three--body dynamics and its application to the $KK\bar{K}$ system
• Strong isospin symmetry breaking in light scalar meson production
• Investigation of $J/\psi \to \gamma {\pi }^0\eta ({\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0)$ radiative decays including final-state interactions
• $a_0(980)-f_0(980)$ mixing in ${\chi }_{c1}\to {\pi }^0{f}_0(980)\to {\pi }^0{\pi }^{+}{\pi }^{-}$ and ${\chi }_{c1}\to {\pi }^0{a}_0(980)\to {\pi }^0{\pi }^0\eta$
• Determination of $f_0-a_0^0$ mixing angle from QCD sum rules
• Photoproduction and mixing effects of scalar a0 and f0 mesons
• $J/\psi \to \gamma \pi \pi$, $\gamma {\pi }^0\eta$ reactions and the $f_0(980)$ and $a_0(980)$ resonances
• 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 $a_0(1450)\to a_0^0(980)f_0(500)\to {\pi }^{+}{\pi }^{-}{f}_0(500)$
• The role of meson interactions in the $D_s^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}\eta$ decay
• The ${\bar{B}}_s^0\to J/\psi {\pi }^0\eta$ decay and the $a_0(980)-f_0(980)$ mixing
• The impact of $a_0^0(980)-f_0(980)$ mixing on the localized $CP$ violations of the $B^{-}\to K^{-}{\pi }^{+}{\pi }^{-}$ decay