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a Coulomb scalar, vector and tensor interaction. They were successful in work- ing out the exact solutions as inferred from the 1D-radial Schr¨ odinger Coulomb problem as 

for the spin symmetric case (see their Eq.(12a)), and 

for the pseudo-spin symmetric case (see their Eq.(17a)). 

A proiri, these two equations are not quadratic in E (cf. e.g., Mustafa [1,2]) to imply two branches of eigenvalues. obviously, equation (1) yields 

and equation (2) implies 

Therefore, the energy eigenvalues should read 

for the spin symmetric case, and 

for the pseudo-spin case. 

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