标题： 相对论输运理论对于$N$、$Δ$和$N^{*}$(1440) 系统的研究 显示英文标题

标题： Relativistic transport theory for $N$, $Δ$ and $N^{*}$(1440) system

摘要： 基于介子相互作用的重子有效拉格朗日，发展了描述$N^{*}$(1440) 共振的自洽相对论 Boltzmann-Uehling-Uhlenbeck 方程。该方程与我们之前推导出的关于核子和 Δ 共振的方程相一致。因此，我们得到了一套关于$N$、$\Delta$和$N^{*}$(1440) 分布函数的耦合方程。 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. 显示英文摘要

摘要： 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.