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Based on the recent proposal for the tetraquarks with the mixing scheme, weinvestigate fall-apart decays of $a_0(980), a_0(1450)$ into two lowest-lyingmesons. This mixing scheme suggests that $a_0(980)$ and $a_0(1450)$ are thetetraquarks with the mixtures of two spin configurations of diquark andantidiquark. Due to the relative sign differences in the mixtures, thecouplings 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 issupported by their experimental decays. In particular, the ratios of theassociated partial decay widths, which depend on some kinematical factors andthe couplings, are found to be around $\Gamma [a_0(980)\rightarrow \pi\eta]/\Gamma [a_0(1450)\rightarrow \pi \eta] = 2.51-2.54$, $\Gamma[a_0(980)\rightarrow K\bar{K}]/\Gamma [a_0(1450)\rightarrow K\bar{K}] =0.52-0.89$, which seems to agree with the experimental ratios reasonably well.This agreement can be interpreted as the tetraquark signatures for $a_0(980),a_0(1450)$.

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