Table 2 Comparison of energy eigenvalues as a function of the parameter a for 2p, 3p, 3d, 4p, 4d and 4f states with \(\mu = \hbar = 1,\) and \(\lambda_{0} = 2.\)

0.05

7.860596160

7.86080

7.862800

4.140678930

4.14068

4.14208

0.10

7.952471120

7.95247

7.955370

4.218346794

4.21835

4.22040

0.15

8.043224870

8.04322

8.047240

4.295518199

4.29552

4.29870

0.20

8.132870439

8.13287

8.138420

4.372213175

4.37221

4.37690

0.05

10.98907607

10.9976

10.99980

7.524809220

7.53258

7.53500

0.10

11.14518564

11.1617

11.16470

7.708790323

7.72393

7.72710

0.15

11.29818128

11.3224

11.32647

7.891196980

7.91330

7.91770

0.20

11.44806887

11.4795

11.48513

8.072028091

8.10071

8.10660

0.05

10.21535527

10.2154

10.21651

5.739126228

5.73913

5.74040

0.10

10.35103947

10.3510

10.35409

5.843270280

5.84327

5.84650

0.15

10.48372939

10.4837

10.48992

5.945053133

5.94505

5.95150

0.20

10.61346374

10.6135

10.62403

6.044533598

6.04453

6.05530

0.05

12.48657121

12.4974

12.49920

9.601425934

9.61280

9.61560

0.10

12.67524352

12.6960

12.69851

9.860761187

9.88269

9.88620

0.15

12.85677735

12.8865

12.89010

10.11501518

10.1467

10.1514

0.20

13.03115169

13.0689

13.07400

10.36412165

10.4047

10.4111

0.05

12.09143796

12.0977

12.09890

8.485907020

8.49272

8.49480

0.10

12.27048800

12.2825

12.28570

8.691367758

8.70461

8.70870

0.15

12.44340752

12.4608

12.46715

8.892880024

8.91218

8.91940

0.20

12.61023933

12.6326

12.64324

9.090508156

9.11551

9.12720

0.05

11.81953623

11.8195

11.82090

7.433455810

7.43346

7.43510

0.10

11.99296121

11.9930

11.99810

7.581418806

7.58142

7.58680

0.15

12.16044661

12.1604

12.17180

7.724482273

7.72448

7.73610

0.20

12.32207217

12.3221

12.34210

7.862757512

7.86276

7.88310