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Relativistic transport theory for N, Delta and N^(*)(1440) system
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Relativistic transport theory for N, Delta and N^(*)(1440) system
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A self-consistent relativistic Boltzmann-Uehling-Uhlenbeck equation for the $N^{*}$(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 $N^{*}$(1440) distribution functions. All the $N^{*}$(1440)-relevant in-medium two-body scattering cross sections within the $N$, $\Delta$ and $N^{*}$(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.
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