secure the reality of E . Hereby, if m = 0 is considered in (21) and (36) as a reference test, then one would observe that only the Gora’s and Williams’ ambiguity parametric set ( β = γ = 0 , α = − 1) fails to provide real energies (i.e., √ 3 / 2 − ( ζ − β ) ∈ C ) . We contemplate that more auxiliary constraints on the ambiguity parameters should be anticipated for different, though ex- actly solvable, power-law type radial masses (within our methodical proposal, of course). Furthermore, the spectral signatures of different ˜ V ( z ) interactions on the overall spectrum are also reported. Namely, the spectral signatures of (i) two impenetrable walls at z = 0 and z = L provided by the potential well ˜ V ( z ) = 0 for 0 < z < L and ˜ V ( z ) = ∞ elsewhere, (ii) a Morse type [31] interac- tion ˜ V ( z ) = D ( e − 2 ϵz − 2 e − $^{ϵz}$) ; D > 0, and (iii) a trigonometric Rosen-Morse [32] potential ˜ V z ) = U$_{◦}$ cot $^{2}$( πz/d ) ; z ∈ [0 , d ]. 15