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A general formalism is used to express the long-range potential energies ininverse powers of the separation distance between two like atomic or molecularsystems with $P$ symmetries. The long-range molecular interaction coefficientsare calculated for the molecular symmetries $\Delta$, $\Pi$, and $\Sigma$,arising from the following interactions: He($2 ^1P$)--He($2 ^1P$), He($2^1P$)--He($2 ^3P$), and He($2 ^3P$)--He($2 ^3P$). The electricquadrupole-quadrupole term, $C_{5}$, the van der Waals (dispersion) term$C_{6}$, and higher-order terms, $C_{8}$, and $C_{10}$, are calculated\textit{ab initio} using accurate variational wave functions in Hylleraascoordinates with finite nuclear mass effects. A comparison is made withpreviously published results where available.

physical review. a, atomic, molecular, and optical physics/physical review, a, atomic, molecular, and optical physics

Accurate long-range coefficients for two excited like isotope He atoms:  He($2 ^1P$)--He($2 ^1P$), He($2 ^1P$)--He($2 ^3P$), and He($2 ^3P$)--He($2  ^3P$)