Possible signatures for tetraquarks from the decays of $a_0(980)$, $a_0(1450)$

Abstract

Based on the recent proposal for the tetraquarks with the mixing scheme, we investigate fall-apart decays of $a_0(980),a_0(1450)$ into two lowest-lying mesons. This mixing scheme suggests that $a_0(980)$ and $a_0(1450)$ are the tetraquarks with the mixtures of two spin configurations of diquark and antidiquark. Due to the relative sign differences in the mixtures, the couplings of fall-apart decays into two mesons are strongly enhanced for $a_0(980)$ but suppressed for $a_0(1450)$. We report that this expectation is supported by their experimental decays. In particular, the ratios of the associated partial decay widths, which depend on some kinematical factors and the couplings, are found to be around $\Gamma [a_0(980)\to \pi \eta ]/\Gamma [a_0(1450)\to \pi \eta ]=2.51-2.54$, $\Gamma [a_0(980)\to K\bar{K}]/\Gamma [a_0(1450)\to K\bar{K}]=0.52-0.89$, which seems to agree with the experimental ratios reasonably well. This agreement can be interpreted as the tetraquark signatures for $a_0(980),a_0(1450)$.

6 pages, no figures, more references are added, the version to be published in EPJC

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Cited by in corpus (10)

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• Tetraquark mixing framework for isoscalar resonances in light mesons
• Further signatures to support the tetraquark mixing framework for the two light-meson nonets
• Strong isospin symmetry breaking in light scalar meson production
• Testing the tetraquark mixing framework from QCD sum rules for $a_0(980)$
• 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 $a_0(1450)\to a_0^0(980)f_0(500)\to {\pi }^{+}{\pi }^{-}{f}_0(500)$
• Tetraquark mixing supported by the partial decay widths of two light-meson nonets
• The impact of $a_0^0(980)-f_0(980)$ mixing on the localized $CP$ violations of the $B^{-}\to K^{-}{\pi }^{+}{\pi }^{-}$ decay