Determination of $f_0-a_0^0$ mixing angle from QCD sum rules

Abstract

By assuming that the $f_0$ and $a_0^0$ mesons are mixed states of the two-quark - tetraquark, the mixing angle between them is estimated within QCD sum rules method, and it is obtained that the mixing angle is $(6.03\pm 0.08{)}^{\circ }$. Our prediction on mixing angle can be checked in further experiments which can shed light on choosing the "right" structure of $f_0$ and $a_0^0$ mesons.

References in corpus (11)

• A Theory of Scalar Mesons
• Possibility of measuring a0(980)-f0(980) mixing from J/psi -> phi a0
• Towards NNLO Accuracy in the QCD Sum Rule for the Kaon Distribution Amplitude
• Study a0(980)-f0(980) mixing from a0(980) -> f0(980) transition
• Mixings of 4-quark components in light non-singlet scalar mesons in QCD sum rules
• Observation of $a_0^0(980)$-$f_0(980)$ Mixing
• Sigma meson in pole-dominated QCD sum rules
• 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
• Mixing Angle of Hadrons in QCD: A New View
• Light scalar mesons in QCD sum rules with inclusion of instantons

Cited by in corpus (7)

• The $D_s^{+}\to a_0(980)e^{+}{\nu }_e$ reaction and the $a_0(980)-f_0(980)$ mixing
• The perturbative QCD predictions for the decay B^{0}_{s}\rightarrow SS(a_{0}(980),f_{0}(980),f_{0}(500))
• Quark-antiquark states of the lightest scalar mesons within the Nambu-Jona-Lasinio model with flavor-dependent coupling constants
• 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 ${\bar{B}}_s^0\to J/\psi {\pi }^0\eta$ 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