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

Table 3

The bound state energy eigenvalues in unit of fm⁻¹ of the spin symmetry Hulthén 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; 𝑈0𝐻=0	𝛼=0.01; 𝑈0𝐻=0.2	|𝑛,𝑙,𝜅⟩	State	𝛼=0.01; 𝑈0𝐻=0	𝛼=0.01; 𝑈0𝐻=0.1
		𝐸𝑛,𝜅 (𝜅<0)	𝐸𝑛,𝜅 (𝜅<0)			𝐸𝑛,𝜅 (𝜅>0)	𝐸𝑛,𝜅 (𝜅>0)
|0,1,−2⟩	0𝑝3/2	−4.9999843769	−4.9999282575	|0,1,1⟩	0𝑝1/2	−4.9999843769	−4.9999566000
|0,2,−3⟩	0𝑑5/2	−4.9999843762	−4.9999149381	|0,2,2⟩	0𝑑3/2	−4.9999843762	−4.9999614178
|0,3,−4⟩	0𝑓7/2	−4.9999843759	−4.9998943876	|0,3,3⟩	0𝑓5/2	−4.9999843759	−4.9999648452
|0,4,−5⟩	0𝑔9/2	−4.9999843757	−4.9998593993	|0,4,4⟩	0𝑔7/2	−4.9999843757	−4.9999674008
|1,1,−2⟩	1𝑝3/2	−4.9999149463	−4.9997802943	|1,1,1⟩	1𝑝1/2	−4.9999149463	−4.9998313307
|1,2,−3⟩	1𝑑5/2	−4.9999023580	−4.9997675648	|1,2,2⟩	1𝑑3/2	−4.9999023580	−4.9998349749
|1,3,−4⟩	1𝑓7/2	−4.9998943876	−4.9997500354	|1,3,3⟩	1𝑓5/2	−4.9998943876	−4.9998377819
|1,4,−5⟩	1𝑔9/2	−4.9998888999	−4.9997244252	|1,4,4⟩	1𝑔7/2	−4.9998888999	−4.9998400102