Proposed Search for $a_0^0(980)-f_0(980)$ Mixing in Polarization Phenomena

Abstract

The $K^{+}$ and $K^0$ meson mass difference induces the mixing of the $a_0^0(980)$ and $f_0(980)$ resonances, the amplitude of which, between the $K^{+}{K}^{-}$ and $K^0{\bar{K}}^0$ thresholds, is large in magnitude, of the order of $m_K\sqrt{m_{K^0}^2-m_{K^{+}}^2}\approx \sqrt{\alpha }{m}_K^2$, and possesses the phase sharply varying by about 90${}^{\circ }$. We suggest performing the polarized target experiments on the reaction ${\pi }^{-}p\to \eta {\pi }^{0}n$ at high energy in which the fact of the existence of $a_0^0(980)-f_0(980)$ mixing can be unambiguously and very easily established through the presence of a strong jump in the azimuthal asymmetry of the $\eta {\pi }^0$ $S$ wave production cross section near the $K\bar{K}$ thresholds. The presented estimates of the polarization effect to be expected in experiment are to a great extent model independent.

RevTeX, 9 pages, 1 figure. A number of typographical and grammatical errors corrected

References in corpus (5)

• The new analysis of the KLOE data on the phi->eta pi0 gamma decay
• Coupling $g_{f_0{K}^{+}{K}^{-}}$ and the structure of $f_0(980)$
• A Study of the ηπ^{0} Spectrum and Search for a J^{PC} = 1^{-+} Exotic Meson
• $\pi \pi$ scattering S wave from the data on the reaction ${\pi }^{-}p\to {\pi }^0{\pi }^{0}n$
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Cited by in corpus (25)

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• Isospin breaking decay $\eta (1405)\to f_0(980){\pi }^0\to 3\pi$
• 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
• 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
• Isospin violation in J/Psi to phi pi0 eta decay and the f0-a0 mixing
• 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
• What can we learn about light-meson interactions at electron-positron colliders?
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• 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
• The $D_s^{+}\to a_0(980)e^{+}{\nu }_e$ reaction and the $a_0(980)-f_0(980)$ mixing
• Investigation of $J/\psi \to \gamma {\pi }^0\eta ({\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0)$ radiative decays including final-state interactions
• Strong isospin symmetry breaking in light scalar meson production
• $a_0(980)-f_0(980)$ mixing in ${\chi }_{c1}\to {\pi }^0{f}_0(980)\to {\pi }^0{\pi }^{+}{\pi }^{-}$ and ${\chi }_{c1}\to {\pi }^0{a}_0(980)\to {\pi }^0{\pi }^0\eta$
• Photoproduction and mixing effects of scalar a0 and f0 mesons
• 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
• Proposal to look for the anomalous isotopic symmetry breaking in central diffractive production of the $f_1(1285)$ and $a_0^0(980)$ resonances at the LHC
• 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