Direct Solutions of the Schrodinger Equations for ^{1, 3}P States of the Heliumlike Systems

The correlation function-hyperspherical harmonic （CFHH） and generalized Laguerre function （GLF）method has been used to directly solve the equations of the n^1,3P （n＝ 1, 2, 3）low-lying excited states for the heliumlike systems. The eigenenergies of the helium atom are, -2.13317 E_h （13P）, -2.12383 E_h （1¹P）, -2.05810 E_h （2³P）, -2.05516 E_h （2¹P）, -2.03235 E_h （3³P）and -2.03109 E_h （3¹P）, respectively, which agree well with the literature data at the sixth figure.The result shows that the CFHHGLF method is also well siuted for the ^1,3P states of the helium-like systems. Moreover, the symmetric base functions for L＝ 1, and analytic expressions of the related matrix elements are also given.