Table 1 Energies in the spin symmetry limit (in fm–1) for coshine Yukawa potential with \(d_{e} = 3,\) \(a = 0.25,\) \(\alpha = 0.05,\) \(M = 1fm^{ - 1}\) and \(C_{s} = 5fm^{ - 1} .\)

From: Approximate solutions of the spin and pseudospin symmetries under coshine Yukawa tensor interaction

\(\ell\)

\(\kappa\)

\(n\)

\((\ell ,j)\)

\(H = 0\)

\(H = 0.05\)

0

 − 1

0

0s1/2

4.218770136

4.218676299

0

 − 1

1

1s1/2

4.222317002

4.222361322

0

 − 1

2

2s1/2

4.219880024

4.219952189

0

 − 1

3

3s1/2

4.215291131

4.215383115

1

 − 2

0

0p3/2

4.224797021

4.224537655

1

 − 2

1

1p3/2

4.224245943

4.224212516

1

 − 2

2

2p3/2

4.220720026

4.220770284

1

 − 2

3

3p3/2

4.215432484

4.215545555

2

 − 3

0

0d5/2

4.230330212

4.230119704

2

 − 3

1

1d5/2

4.227531613

4.227442742

2

 − 3

2

2d5/2

4.222979534

4.222968465

2

 − 3

3

3d5/2

4.216901733

4.216958936

3

 − 4

0

0f7/2

4.236058960

4.235837661

3

 − 4

1

1f7/2

4.232127703

4.231980459

3

 − 4

2

2f7/2

4.226756162

4.226676901

3

 − 4

3

3f7/2

4.219941243

4.219928408

1

1

0

0p1/2

4.224797021

4.225340865

1

1

1

1p1/2

4.224245943

4.224446971

1

1

2

2p1/2

4.220720026

4.220794877

1

1

3

3p1/2

4.215432484

4.215417493

2

2

0

0d3/2

4.230330212

4.230722141

2

2

1

1d3/2

4.227531613

4.227767195

2

2

2

2d3/2

4.222979534

4.223118244

2

2

3

3d3/2

4.216901733

4.216957678

3

3

0

0f5/2

4.236058960

4.236423520

3

3

1

1f5/2

4.232127703

4.232408925

3

3

2

2f5/2

4.226756162

4.226961083

3

3

3

3f5/2

4.219941243

4.220071821