Research Article

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

Table 2

Energy spectrum of HCl and CH (in eV) for different states where 𝑐 = 1 9 7 3 . 2 9  eV Å, 𝜇 H C l = 0 . 9 8 0 1 0 4 5  amu, 𝜇 C H = 0 . 9 2 9 9 3 1  amu, and 𝐴 = 2 𝑏 .

States 1/ 𝑏 a H C l / 𝛼 = 0 , 1 𝛼 = 0 . 7 5 𝛼 = 1 . 5 C H / 𝛼 = 0 , 1 𝛼 = 0 . 7 5 𝛼 = 1 . 5

2 𝑝 0.025 −4.81152646 −5.14278553 −3.83953094 −5.07112758 −5.42025940 −4.04668901
0.050 −4.31837832 −4.62430290 −3.42259525 −4.55137212 −4.87380256 −3.60725796
0.075 −3.85188684 −4.13335980 −3.02961216 −4.05971155 −4.35637111 −3.19307186
0.100 −3.41205201 −3.66996049 −2.46161213 −3.59614587 −3.86796955 −2.59442595

3 𝑝 0.025 −1.86633700 −1.95892730 −1.57658128 −1.96703335 −2.06461927 −1.66164415
0.050 −1.42316902 −1.50416901 −1.17169439 −1.49995469 −1.58532495 −1.23491200
0.075 −1.03998066 −1.10938179 −0.82678285 −1.09609178 −1.16923738 −0.87139110
0.100 −0.71676763 −0.77457419 −0.54184665 −0.75544012 −0.81636557 −0.57108145

3 𝑑 0.025 −1.86633700 −1.91628944 −1.69043293 −1.96703335 −2.01968093 −1.78163855
0.050 −1.42316902 −1.46326703 −1.28220223 −1.49995469 −1.54221615 −1.35138217
0.075 −1.03998066 −1.07124785 −0.93029598 −1.09609178 −1.12904596 −0.98048917
0.100 −0.71676763 −0.74022762 −0.63472271 −0.75544012 −0.78016587 −0.66896854

4 𝑝 0.025 −0.85301300 −0.88972668 −0.73465318 −0.89903647 −0.93773100 −0.77429066
0.050 −0.47981981 −0.50878387 −0.38820195 −0.50570801 −0.53623480 −0.40914700
0.075 −0.21325325 −0.23361041 −0.15131598 −0.22475912 −0.24621462 −0.15948008

4 𝑑 0.025 −0.85301300 −0.87244037 −0.78327492 −0.89903647 −0.91951202 −0.82553574
0.050 −0.47981981 −0.49364289 −0.43054552 −0.50570801 −0.52027690 −0.45377517
0.075 −0.21325325 −0.22198384 −0.18257890 −0.22475912 −0.23396076 −0.19242977

4 𝑓 0.025 −0.85301300 −0.86532198 −0.80704413 −0.89903647 −0.91200956 −0.85058739
0.050 −0.47981981 −0.48742442 −0.45146566 −0.50570801 −0.51372292 −0.47582404
0.075 −0.21325325 −0.21724109 −0.19844068 −0.22475912 −0.22896211 −0.20914735

5 𝑝 0.025 −0.40318193 −0.42043305 −0.34678391 −0.42493521 −0.44311709 −0.36549429
5 𝑑 0.025 −0.40318193 −0.41216309 −0.37064268 −0.42493521 −0.43440094 −0.39064034
5 𝑓 0.025 −0.40318193 −0.40875104 −0.38224366 −0.42493521 −0.43080479 −0.40286723
5 𝑔 0.025 −0.40318193 −0.40687867 −0.38901658 −0.42493521 −0.42883140 −0.41000558
6 𝑝 0.025 −0.17919244 −0.18788038 −0.15070181 −0.18886059 −0.19801728 −0.15883277
6 𝑑 0.025 −0.17919244 −0.18365796 −0.16296387 −0.18886059 −0.19356705 −0.17175642
6 𝑓 0.025 −0.17919244 −0.18191355 −0.16892216 −0.18886059 −0.19172852 −0.17803620
6 𝑔 0.025 −0.17919244 −0.18095818 −0.17240246 −0.18886059 −0.19072160 −0.18170426

a 𝑏 is in pm.