## Relativistic transport theory of N, Delta and N* (1440) interacting through sigma, omega and pi mesons.

- A self-consistent relativistic integral-di erential 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 semi-classical, quasi-particle and Born approxima- tions are employed in the derivation. The non-equilibrium RBUU-type equation for the N*(1440) 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, which can be directly used in the study of relativistic heavy-ion collisions. The theoreticalprediction of the free pp - pp* (1440) cross section is in good agreement with the experimental data. We calculate the in-medium N+N - N+N* , N* +N - N+N and N*+N - N* +N cross sections in cold nuclear matter up to twice the nuclear matter density. The influence of different choices of the N* N* coupling strengths, which can not be obtained through fitting certain experimental data, are discussed. The results show that the density dependence of predicted in-medium cross sections are sensitive to the N* N* coupling strengths used. An evident density dependence will appear when a large scalar coupling strength of g^(sigma) N*N* is assumed. PACS number(s): 24.10.Cn; 25.70.-z; 21.65.+f

Author: | Guangjun Mao, Ludwig NeiseGND, Horst StöckerORCiDGND, Walter GreinerGND, Zhuxia Li |
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URN: | urn:nbn:de:hebis:30-23480 |

Document Type: | Preprint |

Language: | English |

Date of Publication (online): | 2005/12/21 |

Year of first Publication: | 1997 |

Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |

Release Date: | 2005/12/21 |

Tag: | Boltzmann-Uehling-Uhlenbeck; Kollisionen schwerer Ionen; ZustandsgleichungBoltzmann-Uehling-Uhlenbeck; EOS; equation of state; heavy ion collisions |

Source: | Phys.Rev.C57:1938-1961, 1998, http://arxiv.org/abs/nucl-th/9709047 |

HeBIS-PPN: | 185271391 |

Institutes: | Physik / Physik |

Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |

Licence (German): | Deutsches Urheberrecht |