International Scholarly Research Notices

Research Article

Approximate l-States of the Manning-Rosen Potential by Using Nikiforov-Uvarov Method

Table 1

Energies (in atomic units) of different 𝑛 and 𝑙 states and for 𝛼 = 0 . 7 5 and 𝛼 = 1 . 5 , 𝐴 = 2 𝑏 .
𝛼 = 0 . 7 5 𝛼 = 1 . 5
States 1 / 𝑏 Present QD [51, 52] LS [95] Present QD [51, 52] LS [95]
2 𝑝 0.025 −0.1205793 −0.1205793 −0.1205271 −0.0900228 −0.0900229 −0.0899708
0.050 −0.1084228 −0.1084228 −0.1082151 −0.0802472 −0.0802472 −0.0800400
0.075 −0.0969120 −0.0969120 −0.0964469 −0.0710332 −0.0710332 −0.0705701
0.100 −0.0860740 −0.0577157
3 𝑝 0.025 −0.0459296 −0.0459297 −0.0458779 −0.0369650 −0.0369651 −0.0369134
0.050 −0.0352672 −0.0352672 −0.0350633 −0.0274719 −0.0274719 −0.0272696
0.075 −0.0260109 −0.0260110 −0.0255654 −0.0193850 −0.0193850 −0.0189474
0.100 −0.0181609 −0.0127043
3 𝑑 0.025 −0.0449299 −0.0449299 −0.0447743 −0.0396344 −0.0396345 −0.0394789
0.050 −0.0343082 −0.0343082 −0.0336930 −0.0300629 −0.0300629 −0.0294496
0.075 −0.0251168 −0.0251168 −0.0237621 −0.0218120 −0.0218121 −0.0204663
4 𝑝 0.025 −0.0208608 −0.0208608 −0.0208097 −0.0172249 −0.0172249 −0.0171740
0.050 −0.0119291 −0.0119292 −0.0117365 −0.0091019 −0.0091019 −0.0089134
0.075 −0.0054773 −0.0054773 −0.0050945 −0.0035478 −0.0035478 −0.0031884
4 𝑑 0.025 −0.0204555 −0.0204555 −0.0203017 −0.0183649 −0.0183649 −0.0182115
0.050 −0.0115741 −0.0115742 −0.0109904 −0.0100947 −0.0100947 −0.0095167
0.075 −0.0052047 −0.0052047 −0.0040331 −0.0042808 −0.0042808 −0.0031399
4 𝑓 0.025 −0.0202886 −0.0202887 −0.0199797 −0.0189222 −0.0189223 −0.0186137
0.050 −0.0114283 −0.0114284 −0.0102393 −0.0105852 −0.0105852 −0.0094015
0.075 −0.0050935 −0.0050935 −0.0026443 −0.0046527 −0.0046527 −0.0022307
5 𝑝 0.025 −0.0098576 −0.0098576 −0.0098079 −0.0081308 −0.0081308 −0.0080816
5 𝑑 0.025 −0.0096637 −0.0096637 −0.0095141 −0.0086902 −0.0086902 −0.0085415
5 𝑓 0.025 −0.0095837 −0.0095837 −0.0092825 −0.0089622 −0.0089622 −0.0086619
5 𝑔 0.025 −0.0095398 −0.0095398 −0.0090330 −0.0091210 −0.0091210 −0.0086150
6 𝑝 0.025 −0.0044051 −0.0044051 −0.0043583 −0.0035334 −0.0035334 −0.0034876
6 𝑑 0.025 −0.0043061 −0.0043061 −0.0041650 −0.0038209 −0.0038209 −0.0036813
6 𝑓 0.025 −0.0042652 −0.0042652 −0.0039803 −0.0039606 −0.0039606 −0.0036774
6 𝑔 0.025 −0.0042428 −0.0042428 −0.0037611 −0.0040422 −0.0040422 −0.0035623