Nonrelativistic Arbitrary -States of Quarkonium through Asymptotic Iteration Method

Table 5

Comparisons of energy eigenvalues (in GeV) obtained by using the perturbation expansion formula in (26) () with the ones of s-wave heavy quarkonium from [10, 21]. The potential parameter is taken as GeV, while the reduced mass is GeV in this case. The eigenvalues of [10, 21] are exact results.

A	E00 (Ref. [10])	E00 (Ref. [21])	Epert	A	E00 (Ref. [10])	E00 (Ref. [21])	Epert
0.2	2.16732	2.16732	2.16741	0.1	2.25368	2.25368	2.25369
0.4	1.98850	1.98850	1.98923	0.3	2.07895	2.07895	2.07927
0.6	1.80107	1.80107	1.80367	0.5	1.89590	1.89590	1.89740
0.8	1.60441	1.60441	1.61063	0.7	1.70394	1.70393	1.70808
1	1.39788	1.39788	1.41015	0.9	1.50242	1.50242	1.51132
1.2	1.18084	1.18083	1.20221	1.1	1.29071	1.29071	1.30711
1.4	0.95264	0.95264	0.98683	1.3	1.06817	1.06817	1.09545
1.6	0.71266	0.71266	0.76400	1.5	0.83416	0.83416	0.87635
1.8	0.46027	0.46026	0.53373	1.7	0.58805	0.58805	0.64980