Research Article
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
and
for
,
, and
.
| | | | | | | | | |
| 2 | 0, 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 | |
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 | |
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 | |
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 | |
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 | |
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 | |
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 | |
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 |
|
|