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

Table 2

The bound state energy eigenvalues of the Coulomb potential under the pseudo-spin symmetry limit for several values of 𝑛 and 𝜅 for 𝑚₀=5.0fm⁻¹, 𝑞=1,ℏ=𝑐=1,𝑇=(0,1,2,5), and 𝐶_𝑝𝑠=−1.

𝑙̃	𝑛−1,𝜅>0	(𝑙,𝑗=𝑙−1/2)	𝑚1	𝐸𝑛−1,𝜅>0
				𝑇=0	𝑇=1	𝑇=2	𝑇=5
2	0, 2	0𝑑3/2	0.0	−4.75676	−4.86154	−4.91089	−4.96498
			0.2	−4.66644	−4.80508	−4.87335	−4.94979
			0.4	−4.57172	−4.74207	−4.83043	−4.93205
			0.5	−4.52376	−4.70859	−4.80716	−4.92225
3	0, 3	0𝑓5/2	0.0	−4.86154	−4.91089	−4.93793	−4.97231
			0.2	−4.80508	−4.87335	−4.91138	−4.96026
			0.4	−4.74207	−4.83043	−4.88067	−4.94614
			0.5	−4.70859	−4.80716	−4.86385	−4.93833
4	0, 4	0𝑔7/2	0.0	−4.91089	−4.93793	−4.95431	−4.97756
			0.2	−4.87335	−4.91138	−4.93461	−4.96777
			0.4	−4.83043	−4.88067	−4.91166	−4.95628
			0.5	−4.80716	−4.86385	−4.89903	−4.94991
5	0, 5	0ℎ9/2	0.0	−4.93793	−4.95431	−4.96498	−4.98144
			0.2	−4.91138	−4.93461	−4.94979	−4.97334
			0.4	−4.88067	−4.91166	−4.93205	−4.96381
			0.5	−4.86385	−4.89903	−4.92225	−4.95852
2	1, 2	1𝑑3/2	0.0	−4.86154	−4.91089	−4.93793	−4.97231
			0.2	−4.80794	−4.87402	−4.91160	−4.96028
			0.4	−4.75015	−4.83243	−4.88134	−4.94621
			0.5	−4.72024	−4.81014	−4.86487	−4.93843
3	1, 3	1𝑓5/2	0.0	−4.91089	−4.93793	−4.95431	−4.97756
			0.2	−4.87402	−4.91160	−4.93469	−4.96778
			0.4	−4.83243	−4.88134	−4.91194	−4.95632
			0.5	−4.81014	−4.86487	−4.89945	−4.94997
4	1, 4	1𝑔7/2	0.0	−4.93793	−4.95431	−4.96498	−4.98144
			0.2	−4.91160	−4.93469	−4.94984	−4.97757
			0.4	−4.88134	−4.91194	−4.93218	−4.96383
			0.5	−4.86487	−4.89945	−4.92244	−4.95856
5	1, 5	1ℎ9/2	0.0	−4.95431	−4.96498	−4.97231	−4.98440
			0.2	−4.93469	−4.94984	−4.96028	−4.97758
			0.4	−4.91194	−4.93218	−4.94621	−4.96957
			0.5	−4.89945	−4.92244	−4.93843	−4.96512