Hulthén and Coulomb-Like Potentials as a Tensor Interaction within the Relativistic Symmetries of the Manning-Rosen Potential

Table 6

The bound state energy eigenvalues in unit of fm⁻¹ of the p-spin symmetry Coulomb potential. Here the first states column according to (𝑙,𝑗) and second states column (𝑙+2,𝑗+1).

|𝑛,𝑙,̃𝜅⟩	State	𝛼=0.01; 𝑈0𝐶=0	𝛼=0.01; 𝑈0𝐶=1	|𝑛,𝑙,̃𝜅⟩	State	𝛼=0.01; 𝑈0𝐶=0	𝛼=0.01; 𝑈0𝐶=1
		𝐸𝑛,𝜅 (𝜅<0)	𝐸𝑛,𝜅 (𝜅<0)			𝐸𝑛,𝜅 (𝜅>0)	𝐸𝑛,𝜅 (𝜅>0)
|1,1,−1⟩	1𝑠1/2	−4.9868996028	−4.9727532453	|0,1,2⟩	0𝑑3/2	−4.9868996028	−4.9921014723
|1,2,−2⟩	1𝑝3/2	−4.9921014723	−4.9868996028	|0,2,3⟩	0𝑓5/2	−4.9921014723	−4.9945990389
|1,3,−3⟩	1𝑑5/2	−4.9945990389	−4.9921014723	|0,3,4⟩	0𝑔7/2	−4.9945990389	−4.9960022563
|1,4,−4⟩	1𝑓7/2	−4.9960022563	−4.9945990389	|0,4,5⟩	0ℎ9/2	−4.9960022563	−4.9968759153
|2,1,−1⟩	2𝑠1/2	−4.9913874762	−4.9863374401	|1,1,2⟩	1𝑑3/2	−4.9913874762	−4.9938803034
|2,2,−2⟩	2𝑝3/2	−4.9938803034	−4.9913874762	|1,2,3⟩	1𝑓5/2	−4.9938803034	−4.9953083139
|2,3,−3⟩	2𝑑5/2	−4.9953083139	−4.9938803034	|1,3,4⟩	1𝑔7/2	−4.9953083139	−4.9962128946
|2,4,−4⟩	2𝑓7/2	−4.9962128946	−4.9953083139	|1,4,5⟩	1ℎ9/2	−4.9962128946	−4.9968280175