Manifestation of the $a_0^0(980)-f_0(980)$ mixing in the reaction ${\pi }^{-}p\to \eta {\pi }^{0}n$ on a polarized target

Abstract

It is argued that the single-spin asymmetry in the reaction ${\pi }^{-}p\to a_0^0(980)n\to (\eta {\pi }^0{)}_{S}n$ is extremely sensitive to the mixing of the $a_0^0(980)$ and $f_0(980)$ resonances. It is shown that at low momentum transfers (namely, in any one of the intervals $0\le -t\le 0.025,...,0.1$ GeV${}^2$) the normalized asymmetry, which can take the values from -1 to 1, must undergo a jump in magnitude close to 1 in the $\eta {\pi }^0$ invariant mass region between 0.965 GeV and 1.01 GeV. The strong asymmetry jump is the straightforward manifestation of the $a_0^0(980)-f_0(980)$ mixing. For observing the jump, any very high quality $\eta {\pi }^0$ mass resolution is not required. The energy dependence of the polarization effect is expected to be rather weak. Therefore, it can be investigated at any high energy, for example, in the range from eight to 100 GeV.

19 pages, 7 figures. Three figures and discussion added; version published in PRD

References in corpus (9)

• Meson production in nucleon--nucleon collisions close to the threshold
• The new analysis of the KLOE data on the phi->eta pi0 gamma decay
• Once more on mixing of the a_0(980) and f_0(980) mesons
• Proposed Search for $a_0^0(980)-f_0(980)$ Mixing in Polarization Phenomena
• A Study of the ηπ^{0} Spectrum and Search for a J^{PC} = 1^{-+} Exotic Meson
• Coupling $g_{f_0{K}^{+}{K}^{-}}$ and the structure of $f_0(980)$
• $\pi \pi$ scattering S wave from the data on the reaction ${\pi }^{-}p\to {\pi }^0{\pi }^{0}n$
• Near-threshold production of $a_0(980)$-mesons in $\pi N$ and NN collisions and $a_0/f_0$-mixing
• Angular asymmetries in the reactions pp \to dπ^+ηand pn \to dπ^0ηand a_0-f_0 mixing

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