Decays of high spin Δ1 and N1 resonances in the quark model

Starting with a set of harmonic oscillator wavefunctions, we calculate partial decay rates of excited $\text{Δ}{}^1$ and $\text{N}{}^1$ states into a nucleon with single pion emission. Good agreement with values estimated from data is obtained for N ≤ 6, thus indicating that the simple quark model is reasonable over a much wider range than expected. The calculated decay rates of the even higher states depend more sensitively on the finer details of the nucleon wavefunction.