Comment on “Calculations for the one-dimensional soft Coulomb problem and the hard Coulomb limit”

In the referred paper, the authors use a numerical method for solving ordinary differential equations and a softened Coulomb potential $-1/\sqrt{x^2+{\beta }^2}$ to study the one-dimensional Coulomb problem by approaching the parameter $\beta$ to zero. We note that even though their numerical findings in the soft potential scenario are correct, their conclusions do not extend to the one-dimensional Coulomb problem ($\beta =0$). Their claims regarding the possible existence of an even ground state with energy $-\infty$ with a Dirac-$\delta$ eigenfunction and of well-defined parity eigenfunctions in the one-dimensional hydrogen atom are questioned.