Generalized Nuclear Woods-Saxon Potential under Relativistic Spin Symmetry Limit

Table 1

The approximate bound state energy eigenvalues (in unit of MeV) of the generalized Woods-Saxon potential within the spin symmetry limit for several values of 𝑛 and 𝜅.

𝑙	𝑛,𝜅<0,𝜅>0	State	𝐸𝑛𝜅; 𝐶=0	𝐸𝑛𝜅; 𝐶=50 MeV	𝐸𝑛𝜅; 𝐶=100 MeV	𝐸𝑛𝜅; 𝐶=150 MeV
1	0, −2, 1	0𝑝3/2,0𝑝1/2	−939.0045195	−939.0074037	−939.0102535	−939.0130695
2	0, −3, 2	0𝑑5/2,0𝑑3/2	−938.5761054	−938.5822985	−938.5884052	−938.5944276
3	0, −4, 3	0𝑓7/2,0𝑓5/2	−938.4033046	−938.4111487	−938.4188786	−938.4264972
4	0, −5, 4	0𝑔9/2,0𝑔7/2	−938.532527	−938.5397300	−938.5468274	−938.5538221
1	1, −2, 1	1𝑝3/2,1𝑝1/2	−906.9952581	−907.4067290	−907.8063989	−908.1948041
2	1, −3, 2	1𝑑5/2,1𝑑3/2	−905.7621398	−906.1743738	−906.5749872	−906.9645019
3	1, −4, 3	1𝑓7/2,1𝑓5/2	−904.2904841	−904.7048150	−905.1077390	−905.4997600
4	1, −5, 4	1𝑔9/2,1𝑔7/2	−902.7908284	−903.2078994	−903.6137936	−904.0089945
1	2, −2, 1	2𝑝3/2,2𝑝1/2	−835.7682302	−837.2498452	−838.6826152	−840.0691370
2	2, −3, 2	2𝑑5/2,2𝑑3/2	−834.4172283	−835.8982294	−837.3306378	−838.7170294
3	2, −4, 3	2𝑓7/2,2𝑓5/2	−832.5628129	−834.0439814	−835.4769039	−836.8641261
4	2, −5, 4	2𝑔9/2,2𝑔7/2	−830.3570797	−831.8396528	−833.2743934	−834.6638100