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

TL;DR

This paper investigates how the effective width of $232$ resonances in $N232$ and $232232$ states is reduced due to kinetic energy effects, angular momentum, and state dependence, impacting pion production and dibaryon phenomena.

Contribution

It provides a detailed analysis of the factors suppressing the $232$ width in intermediate states, highlighting the role of kinetic energy and angular momentum effects.

Findings

Effective $232$ width is suppressed in $N232$ and $232232$ states due to kinetic energy considerations.

Angular momentum in $N232$ states further reduces the resonance width.

State dependence influences pion production observables and may explain the origin of T=1 dibaryons.

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".