Accurate eigenvalues (eight to six significant figures) and critical screening parameters are calculated for a two-particle system interacting through (a) a static screened Coulomb potential (SSCP), and (b) a cut-off Coulomb potential (COCP). A comparison of the results shows that as far as bound states are concerned it is not possible to simulate a SSCP by a COCP by a suitable scaling of the screening length.
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Singh et al. (1984) studied this question.
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