In our previously published manuscript [1], we derived the length-density product from two independent measurements of the length and the density of a gas jet. As the density of the jet is around $3.5 \times 10^{18}$ at.cm$^{-3}$ and the length of the jet is around 350 $\mu$m = $3.5 \times 10^{-2}$ cm, the unit of the length-density product should be $10^{17}$ cm$^{2}$, and not $10^{15}$ cm$^{2}$ as mentioned in the original manuscript. This changes the value of the length-density product maximizing the signal from $1.2 \times 10^{15}$ cm$^{2}$ to $1.2 \times 10^{17}$ cm$^{2}$ in the following sentence: "The results show that all the curves reach their maxima at the same length-density product of $1.2 \times 10^{17}$ cm$^{2}$." It also changes the x-axis unit of Fig. 3(b) from $10^{15}$ cm$^{2}$ to $10^{17}$ cm$^{2}$.

In addition, the absorption cross section of argon at 57 nm is $3.6 \times 10^{-17}$ cm$^{2}$ and not $3.6 \times 10^{-15}$ cm$^{2}$ as stated in the original manuscript.

The scientific discussion and conclusions on our work are based on the value of the product of the cross section and length-density product. This product is unchanged by the corrections, and therefore the conclusions remain unaffected by these mistakes.