Possible Pairing-Induced Even-Denominator Fractional Quantum Hall Effect in the Lowest Landau Level

We report on our theoretical investigations that point to the possibility of a fractional quantum Hall effect with partial spin polarization at $\nu =3\mathrm{/}8$. The physics of the incompressible state proposed here involves p-wave pairing of composite fermions in the spin reversed sector. The temperature and magnetic field regimes for the realization of this state are estimated.