Particle-Vibration Doorway Resonance inPb209

Abstract

With no free parameters the particle-vibration model is used to describe the ${\mathrm{½}}^{+}$ doorway resonance observed in ${\mathrm{Pb}}^{209}$ at 500 KeV with a width of 58 KeV. We find that the ($2g_{\frac{9}{2}}$, $4^{+}$) state which occurs at nearly the experimental energy has a width of about 1 to 2 times the measured value.