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The authors of a recent paper [Phys. Rev. C 97(2018) 044003] (Ref. [1]), D.Gaspard and J.-M. Sparenberg, attempt to consider an alternative method for theasymptotic normalization coefficients (ANC) calculating which differs fromso-called approximate \Delta method proposed earlier [Phys. Rev. C 96(2017)034601] (Ref. [2]) by O.L. Ram\'irez Su\'arez, and J. M. Sparenberg. Theabstract in Ref. [1], in essence, declares that the approximation used in Ref.[2], where a \Delta_l function is introduced to fit the Coulomb-nuclear phaseshifts {\delta}_l^{(cs)} at low energies, is not correct, since this \Delta_lfunction is not analytical at zero energy. In my view, this statement iserroneous. I believe that the origin of this mistake in Ref. [1] is due toadopting the re-normalized scattering amplitude form designed for resonantstates, which is not valid for a bound state. It is shown in the fundamentalwork [Nucl. Phys. B 60 (1973) 443] Ref.[3] by Hamilton et al. that aneffective-range function (ERF) K_l(k^2) is a meromorphic in the physical sheetexcept for the poles of bound states on the imaginary positive axis of themomentum complex plane. In my paper [Nucl. Phys A, 1010 (2021) 122174] Ref.[4], a strict form of the re-normalized scattering amplitude is derived, whichcan be used for the analytical continuation to a bound state pole. It is foundin Ref. 4 that the \Delta_l function has analytical properties similar to thoseof the K_l(k^2) function. Thus, both functions have no singularities at zeroenergy.

Comment on Effective-range function methods for charged particle collisions