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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2004, Volume 79, Issue 12, Pages 724–728
(Mi jetpl2321)
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This article is cited in 2 scientific papers (total in 2 papers)
FIELDS, PARTICLES, AND NUCLEI
$a^0_0(980)-f_0(980)$ Mixing and Spin Asymmetry in the $\pi^-p\to\eta\pi^0n$ Reaction
N. N. Achasov, G. N. Shestakov Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Abstract:
The mass difference between the $K^+$ and $K^0$ mesons induces mixing of the $a^0_0(980)$ and $f_0(980)$ resonances. The mixing amplitude is large, on the order of $m_{K}(m^2_{K^0}-m^2_{K^+})^{1/2}\approx\sqrt\alpha\,m^2_K$ near the $K\bar K$ thresholds, and its phase changes sharply by 90$^\circ$. A high-energy experiment on the $\pi^-p\to\eta\pi^0n$ reaction in a polarized target is proposed. In this experiment, the presence of $a^0_0(980)-f_0(980)$ mixing can be unambiguously and simply identified by the presence of a large jump in the azimuthal asymmetry of the cross section for production of the $\eta\pi^0$ system in the $S$ wave near the $K\bar K$ thresholds. Our estimates of the magnitude of the polarization effect, which is expected to be observed in the experiment, are almost model-independent.
Received: 05.05.2004
Citation:
N. N. Achasov, G. N. Shestakov, “$a^0_0(980)-f_0(980)$ Mixing and Spin Asymmetry in the $\pi^-p\to\eta\pi^0n$ Reaction”, Pis'ma v Zh. Èksper. Teoret. Fiz., 79:12 (2004), 724–728; JETP Letters, 79:12 (2004), 588–592
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https://www.mathnet.ru/eng/jetpl2321 https://www.mathnet.ru/eng/jetpl/v79/i12/p724
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