We determine experimentally the spinor interaction constants of lower-polaritons and using resonant pump-probe spectroscopy with a spectrally narrow pump pulse. Our experimental findings are analyzed with the Bogoliubov-like theory and mean-field two channel model based on the lower-polariton and biexciton basis. We find an enhancement of the attractive interaction and dissipative nonlinearity of lower-polaritons with anti-parallel spins in the vicinity of the biexciton resonance when the energy of two lower-polaritons approaches energetically that of the biexciton. These observations are consistent with the existence of a scattering resonance between lower-polaritons and biexcitons (polaritonic Feshbach resonance).

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