To perform molecular dynamics (MD) simulation of self-radiation effects in Ga-stabilized δ-Pu alloys, spectral representation 7Fg (9Fg), 2Pu (4Pu) and 1Sg (3Sg) of Pu, Ga and He atoms are resolved into the direct sum of Pu2 (D∞h)，PuGa (C∞v)，Ga2 (D∞h)，PuHe (C∞v)，GaHe (C∞v)，He2 (D∞h) according to atomic and molecular reaction statics, respectively. All possible electronic states can be derived by the direct product and reduction operation. The Pu-Pu, Pu-Ga, Pu-He, Ga-Ga, Ga-He and He-He potential data have been implemented ab initio calculation using relativistic alloy effective core potential (RECP) for Pu atom, 6-311G* all electron basis sets for Ga atom and He atom with Becke-3 hybrid functional (B3LYP). Interatomic potentials and electron states of the corresponding molecular have been obtained.