  Effective interactions that fit the low energy p-$^3$He experimental data
have been constructed. They are based on the Resonating Group Method and a
modified Orthogonality Condition Model in which Pauli and partly Pauli
forbidden states are removed from the spectrum. Partial waves up to L=3 have
been considered. The LS force acting between the proton and $^3$He has been
included phenomenologically, while the Coulomb interaction has been
incorporated using a renormalization technique for a screened Coulomb
interaction. The potentials are also given in a separable momentum space form,
obtained using the Ernst-Shakin-Thaler (EST) method. In all cases the
potentials generate phase shifts that fit well the low energy experimental
data.
