Exact Solutions of a Spatially Dependent Mass Dirac Equation for Coulomb Field plus Tensor Interaction via Laplace Transformation Method

Table 3

The bound state energy eigenvalues of the Coulomb potential for several states under the pseudo-spin symmetry limit with values of 𝐶_𝑝𝑠 with 𝑚₀=5.0fm⁻¹, 𝑞=1,ℏ=𝑐=1,𝑚₁=(0,0.5), and 𝑇=(0,5).

𝑙̃	𝑛,𝜅	(𝑙,𝑗=𝑙+1/2)	𝐶𝑝𝑠	𝐸𝑛,𝜅<0
				𝑇=0	𝑇=0	𝑇=5	𝑇=5
				𝑚1=0	𝑚1=0.5	𝑚1=0	𝑚1=0.5
1	1,2	1𝑑3/2	−1.00	−4.75676	−4.52376	−4.96498	−4.92225
			−1.25	−4.76351	−4.53699	−4.96595	−4.92441
			−1.50	−4.77027	−4.55022	−4.96693	−4.92657
			−1.75	−4.77703	−4.56345	−4.96790	−4.92873
			−2.00	−4.78378	−4.57668	−4.96887	−4.93089
			−2.25	−4.79054	−4.58991	−4.96984	−4.93305
			−2.50	−4.79730	−4.60313	−4.97082	−4.93521
			−2.75	−4.80405	−4.61636	−4.97179	−4.93736
3	0,−4	0𝑓7/2	−1.00	−4.91089	−4.80543	−3.20000	−2.90681
			−1.25	−4.91337	−4.81083	−3.25000	−2.96496
			−1.50	−4.91584	−4.81624	−3.30000	−3.0231
			−1.75	−4.91832	−4.82164	−3.35000	−3.08124
			−2.00	−4.92079	−4.82705	−3.40000	−3.13939
			−2.25	−4.92327	−4.83245	−3.45000	−3.19753
			−2.50	−4.92574	−4.83786	−3.50000	−3.25568
			−2.75	−4.92822	−4.84326	−3.55000	−3.31382
1	1,−2	1𝑝3/2	−1.00	−4.86154	−4.70859	−4.86154	−4.70859
			−1.25	−4.86538	−4.71669	−4.86538	−4.71669
			−1.50	−4.86923	−4.72478	−4.86923	−4.72478
			−1.75	−4.87308	−4.73288	−4.87308	−4.73288
			−2.00	−4.87692	−4.74097	−4.87692	−4.74097
			−2.25	−4.88077	−4.74907	−4.88077	−4.74907
			−2.50	−4.88462	−4.75716	−4.88462	−4.75716
			−2.75	−4.88846	−4.76526	−4.88846	−4.76526
3	1,−4	1𝑓7/2	−1.00	−4.93793	−4.86385	−4.47059	−4.21286
			−1.25	−4.93966	−4.86764	−4.48529	−4.23472
			−1.50	−4.94138	−4.87142	−4.50000	−4.25659
			−1.75	−4.9431	−4.8752	−4.51471	−4.27845
			−2.00	−4.94483	−4.87898	−4.52941	−4.30032
			−2.25	−4.94655	−4.88276	−4.54412	−4.32218
			−2.50	−4.94828	−4.88654	−4.55882	−4.34405
			−2.75	−4.95000	−4.89033	−4.57353	−4.36591