Comment on "Status of the convergent close-coupling method within the framework of the rigorous Coulomb scattering theory"

Shablov, Bilyk, and Popov [Phys. Rev. A 65, 042719 (2002)] claimed to have analyzed the convergent close-coupling (CCC) method within the framework of the rigorous Coulomb scattering theory, but without electron exchange. They concluded that "... the amplitude obtained within the framework of this method in principle does not converge to the observable physical amplitude." We correct a misunderstanding of the origins of the CCC equations, and show that no-exchange CCC calculations exhibit no ready convergence, off or on the energy shell while those with exchange show convergence, but only on the energy shell. Since all previously published comparisons of CCC with experiment utilized on-shell amplitudes from calculations which included exchange, we question the stated conclusion.