Research Article
Exact Solutions of a Spatially Dependent Mass Dirac Equation for Coulomb Field plus Tensor Interaction via Laplace Transformation Method
Table 1
The bound state energy eigenvalues of the Coulomb potential under the pseudo-spin symmetry limit for several values of
and
for
,
, and
.
| | | | | | | | | |
| 1 | 1, −2 | |
0.0
| −4.86154 | −4.75676 | −4.47059 | −4.86154 |
0.2
| −4.80508 | −4.66644 | −4.36211 | −4.80508 |
0.4
| −4.74207 | −4.57172 | −4.26086 | −4.74207 |
0.5
| −4.70859 | −4.52376 | −4.21286 | −4.70859 |
| 2 | 1, −3 | |
0.0
| −4.91089 | −4.86154 | −4.75676 | −4.75676 |
0.2
| −4.87335 | −4.80508 | −4.66644 | −4.66644 |
0.4
| −4.83043 | −4.74207 | −4.57172 | −4.57172 |
0.5
| −4.80716 | −4.70859 | −4.52376 | −4.52376 |
| 3 | 1, −4 | |
0.0
| −4.93793 | −4.91089 | −4.86154 | −4.47059 |
0.2
| −4.91138 | −4.87335 | −4.80508 | −4.36211 |
0.4
| −4.88067 | −4.83043 | −4.74207 | −4.26086 |
0.5
| −4.86385 | −4.80716 | −4.70859 | −4.21286 |
| 4 | 1, −5 | |
0.0
| −4.95431 | −4.93793 | −4.91089 | −4.47059 |
0.2
| −4.93461 | −4.91138 | −4.87335 | −4.36211 |
0.4
| −4.91166 | −4.88067 | −4.83043 | −4.26086 |
0.5
| −4.89903 | −4.86385 | −4.80716 | −4.21286 |
| 1 | 2, −2 | | | −4.91089 | −4.86154 | −4.75676 | −4.91089 | | −4.87402 | −4.80794 | −4.69083 | −4.87402 | | −4.83243 | −4.75015 | −4.62526 | −4.83243 | | −4.81014 | −4.72024 | −4.59287 | −4.81014 |
| 2 | 2, −3 | | | −4.93793 | −4.91089 | −4.86154 | −4.86154 | | −4.9116 | −4.87402 | −4.80794 | −4.80794 | | −4.88134 | −4.83243 | −4.75015 | −4.75015 | | −4.86487 | −4.81014 | −4.72024 | −4.72024 |
| 3 | 2, −4 | | | −4.95431 | −4.93793 | −4.91089 | −4.75676 | | −4.93469 | −4.9116 | −4.87402 | −4.69083 | | −4.91194 | −4.88134 | −4.83243 | −4.62526 | | −4.89945 | −4.86487 | −4.81014 | −4.59287 |
| 4 | 2, −5 | | | −4.96498 | −4.95431 | −4.93793 | −4.75676 | | −4.94984 | −4.93469 | −4.91160 | −4.69083 | | −4.93218 | −4.91194 | −4.88134 | −4.62526 | | −4.92244 | −4.89945 | −4.86487 | −4.59287 |
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