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We report a $^{71}$Ga nuclear-quadrupole-resonance (NQR) study on thecharacteristics of superconductivity in noncentrosymmetric Ir$_2$Ga$_9$ at zerofield (H=0). The $^{71}$Ga-NQR measurements have revealed that $1/T_1$ has theclear coherence peak just below $T_{\rm c}$, and decreases exponentially uponfurther cooling in Ir$_2$Ga$_9$. From these results, Ir$_2$Ga$_9$ is concludedto be the conventional s-wave superconductor. Despite the lack of spatialcentrosymmetry, there are no evidence for unconventional superconducting stateascribed to ASOC in Ir$_2$Ga$_9$.

Conventional $s$-Wave Superconductivity in Noncentrosymmetric Ir$_2$Ga$_9$: $^{71}$Ga-NQR Evidence