Taking into account that the scalar $$a_0(980)$$
a
0
(
980
)
can be dynamically generated from the pseudoscalar-pseudoscalar interaction within the chiral unitary approach, we have studied the single Cabibbo suppressed process $$D^+\rightarrow \pi ^+\pi ^0\eta $$
D
+
→
π
+
π
0
η
. We find clear peaks of $$a_0(980)^+$$
a
0
(
980
)
+
and $$a_0(980)^0$$
a
0
(
980
)
0
in the $$\pi ^+\eta $$
π
+
η
and $$\pi ^0\eta $$
π
0
η
invariant mass distributions, respectively. The predicted Dalitz plots of $$D^+\rightarrow \pi ^+\pi ^0\eta $$
D
+
→
π
+
π
0
η
also manifest the significant signals for $$a_0(980)^+$$
a
0
(
980
)
+
and $$a_0(980)^0$$
a
0
(
980
)
0
states. The uncertainties of the results due to the free parameters are also discussed. Our study shows that the process $$D^+\rightarrow \pi ^+\pi ^0\eta $$
D
+
→
π
+
π
0
η
can be used to explore the nature of the scalar $$a_0(980)$$
a
0
(
980
)
, thus we encourage the experimental physicists to measure this reaction with more precision.
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