Open Access
Table 3
Polynomials Qnl,kl′ as given by Eq. (31) for 1 ≤ n ≤ 5.
| nl-kl′ | Qnl,kl′ |
|---|---|
| 1s-kp | 1 |
| 2s-kp | 16(1 + k2)(4 + k2) |
| 2p-kd | 128k2(1 + k2)/9 |
| 2p-ks | 4k2(4 + k2)/9 |
| 3s-kp | 9(1 + k2)(9 + k2)(27 + 7k2)2 |
| 3p-kd | 432k2(1 + k2)(4 + k2)(9 + k2) |
| 3d-kf | 7776k4(1 + k2)(4 + k2)/25 |
| 3p-ks | 24k2(3 + k2)2(9 + k2) |
| 3d-kp | 144k4(1 + k2)(9 + k2)/25 |
| 4s-kp | 256(1 + k2)(16 + k2)(768 + 288k2 + 23k4)2/9 |
| 4p-kd | 8192k2(1 + k2)(4 + k2)(16 + k2)(80 + 9k2)2/45 |
| 4d-kf | 1048576k4(1 + k2)(4 + k2)(9 + k2)(16 + k2)/75 |
| 4f-kg | 16777216k6(1 + k2)(4 + k2)(9 + k2)/2205 |
| 4p-ks | 16k2(16 + k2)(1280 + 608k2 + 57k4)2/45 |
| 4d-kp | 2048k4(1 + k2)(16 + k2)(48 + 7k2)2/225 |
| 4f-kd | 65536k6(1 + k2)(4 + k2)(16 + k2)/735 |
| 5s-kp | 625(1 + k2)(25 + k2)(46875 + 20625k2 + 2545k4 + 91k6)2/9 |
| 5p-kd | 104k2(1 + k2)(4 + k2)(25 + k2)(9375 + 1650k2 + 67k4)2/81 |
| 5d-kf | 105k4(1 + k2)(4 + k2)(9 + k2)(25 + k2)(175 + 11k2)2/21 |
| 5f-kg | 2 × 108k6(1 + k2)(4 + k2)(9 + k2)(16 + k2)(25 + k2)/441 |
| 5g-kh | 109k8(1 + k2)(4 + k2)(9 + k2)(16 + k2)/5103 |
| 5p-ks | 200k2(25 + k2)(46875 + 25875k2 + 3725k4 + 149k6)2/81 |
| 5d-kp | 2000k4(1 + k2)(25 + k2)(2625 + 590k2 + 29k4)2/63 |
| 5f-kd | 320000k6(1 + k2)(4 + k2)(25 + k2)(25 + 2k2)2/147 |
| 5g-kf | 8 × 106k8(1 + k2)(4 + k2)(9 + k2)(25 + k2)/5103 |
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