potential energy curves for Rb + He are computed at the spin-orbit multi-reference configuration interaction level of theory using a hierarchy of Gaussian basis sets at the double-zeta (DZ), triple-zeta (TZ), and quadruple-zeta (QZ) level of valence quality. Counterpoise and Davidson-Silver corrections are employed to remove basis set superposition error and ameliorate size consistency error. An extrapolation is performed to obtain a final set of potential energy curves in the complete basis set limit (CBS). This yields four sets of systematically improved X 2 Σ + 1/2 , A 2 Π 1/2 , A 2 Π 3/2 and B 2 Σ + 1/2 potential energy curves that are used to compute the A 2 Π 3/2 bound vibrational energies, the position of the D2 blue satellite peak, and the D1 and D2 pressure broadening and shifting coefficients, at the DZ, TZ, QZ, and CBS level. Results are compared with previous calculations and experimental observation.