Relativistic transport theory for $N$, $\Delta$ and $N^{\ast }$(1440) system

Abstract

A self-consistent relativistic Boltzmann-Uehling-Uhlenbeck equation for the $N^{\ast }$(1440) resonance is developed based on an effective Lagrangian of baryons interacting through mesons. The equation is consistent with that of nucleon's and delta's which we derived before. Thus, we obtain a set of coupled equations for the $N$, $\Delta$ and $N^{\ast }$(1440) distribution functions. All the $N^{\ast }$(1440)-relevant in-medium two-body scattering cross sections within the $N$, $\Delta$ and $N^{\ast }$(1440) system are derived from the same effective Lagrangian in addition to the mean field and presented analytically. Medium effects on the cross sections are discussed.

Comments: 10 pages, Latex, 4 PostScript figures included