On the width of the $\Delta(1232)$ in $N\Delta$ and $\Delta\Delta$ states

Abstract

Due to the finite kinetic energy in the intermediate $N\Delta$ state the (internal) energy available for mesonic decay is decreased and consequently the effective $N\Delta$ width is suppressed in $NN$ scattering. The same can happen also in $\Delta$$\Delta$ case. Also the $N\Delta$ angular momentum suppresses the width as well, while the effect of the initial $NN$ angular momentum is more subtle. The state dependence affects e.g. pion production observables and can also be seen as the origin of T=1 "dibaryons".