## Abstract

A search was carried out for the $\alpha$-particle decay of the 15$\cdot$1 MeV state in $^{12}$C. The state was made by the $^{10}$B ($^3$He, p) $^{12}$C reaction. The protons feeding the 15$\cdot$1 MeV state were seen in proton singles spectra and in coincidence with 15$\cdot$1 MeV $\gamma$-rays, but none were seen in coincidence with $\alpha$-particles. Comparison with a nearby state known to decay virtually solely by $\alpha$-particles established that the 15$\cdot$1 MeV state $\alpha$-decays less than 20% of the time. Combining this result with the results of $\gamma$-ray resonance scattering we find that $\Gamma_\alpha$ < 15 eV. The sensitivity of the experiment was limited by a continuum from the break-up of the $^{10}$B + $^3$He system.