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

Table 5

The bound state energy eigenvalues in unit of fm⁻¹ of the spin symmetry Coulomb potential for several values of 𝑛 and 𝜅. Here the first and second states column according to (𝑙,𝑗).

|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)
|0,1,−2⟩	0𝑝3/2	−4.9999843769	−4.9999843788	|0,1,1⟩	0𝑝1/2	−4.9999843769	−4.9999843762
|0,2,−3⟩	0𝑑5/2	−4.9999843762	−4.9999843769	|0,2,2⟩	0𝑑3/2	−4.9999843762	−4.9999843759
|0,3,−4⟩	0𝑓7/2	−4.9999843759	−4.9999843762	|0,3,3⟩	0𝑓5/2	−4.9999843759	−4.9999843757
|0,4,−5⟩	0𝑔9/2	−4.9999843757	−4.9999843759	|0,4,4⟩	0𝑔7/2	−4.9999843757	−4.9999843756
|1,1,−2⟩	1𝑝3/2	−4.9999149463	−4.9999375152	|1,1,1⟩	1𝑝1/2	−4.9999149463	−4.9999023580
|1,2,−3⟩	1𝑑5/2	−4.9999023580	−4.9999149463	|1,2,2⟩	1𝑑3/2	−4.9999023580	−4.9998943876
|1,3,−4⟩	1𝑓7/2	−4.9998943876	−4.9999023580	|1,3,3⟩	1𝑓5/2	−4.9998943876	−4.9998888999
|1,4,−5⟩	1𝑔9/2	−4.9998888999	−4.9998943876	|1,4,4⟩	1𝑔7/2	−4.9998888999	−4.9998848950