1997/09/24 by Guangjun Mao, L. Neise, H. Stöcker +3 · 1 citation
Physics and Astronomy · #Baryon #Boltzmann equation #Cold Atom Physics and Bose-Einstein Condensates #Coupling (piping) #High-Energy Particle Collisions Research #Lagrangian #Materials science #Mathematical physics #Nuclear matter #Nucleon #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quasiparticle #Type (biology) #nucl-th
paper · pdf · doi:10.1103/physrevc.57.1938
published as Phys.Rev.C57:1938-1961,1998 · 64 pages, Latex, 13 PostScript figures included
arxiv created 1997/09/24 · openalex publication_date 1998/04/01 · openalex created_date 2016/06/24 · arxiv updated 2016/08/14 · openalex updated_date 2026/08/05
A self-consistent relativistic integral-differential equation of the Boltzmann-Uehling-Uhlenbeck type for the N*(1440) resonance is developed based on an effective Lagrangian of baryons interacting through mesons. The closed time-path Green's function technique and semiclassical, quasiparticle, and Born approximations are employed in the derivation. The nonequilibrium RBUU-type equation for the N*(1440) is consistent with that of the nucleon's and delta's which we derived before. Thus, we obtain a set of coupled equations for the N, \ensuremathΔ, and N*(1440) distribution functions. All the N*(1440)-relevant in-medium two-body scattering cross sections within the N, \ensuremathΔ, and N*(1440) system are derived from the same effective Lagrangian in addition to the mean field and presented analytically, which can be directly used in the study of relativistic heavy-ion collisions. The theoretical prediction of the free p\stackrel\ensuremath→ppp*(1440) cross section is in good agreement with the experimental data. We calculate the in-medium N+\stackrel\ensuremath→NN+N*, N*+\stackrel\ensuremath→NN+N, and N*+\stackrel\ensuremath→NN*+N cross sections in cold nuclear matter up to twice the nuclear matter density. The results show that the density dependence of predicted in-medium cross sections is sensitive to the N*N* coupling strengths used.