## Relativistic quantum transport theory of hadronic matter: the coupled nucleon, delta and pion system

We derive the relativistic quantum transport equation for the pion distribution function based on an effective Lagrangian of the QHD-II model. The closed time-path Green s function technique, the semi-classical, quasipar

We derive the relativistic quantum transport equation for the pion distribution function based on an effective Lagrangian of the QHD-II model. The closed time-path Green s function technique, the semi-classical, quasiparticle and Born approximation are employed in the derivation. Both the mean field and collision term are derived from the same Lagrangian and presented analytically. The dynamical equation for the pions is consistent with that for the nucleons and deltas which we developed before. Thus, we obtain a relativistic transport model which describes the hadronic matter with N,Delta and pi degrees of freedom simultaneously. Within this approach, we investigate the medium e ects on the pion dispersion relation as well as the pion absorption and pion production channels in cold nuclear matter. In contrast to the results of the non-relativistic model, the pion dispersion relation becomes harder at low momenta and softer at high momenta as compared to the free one, which is mainly caused by the relativistic kinetics. The theoretically predicted free pi*N -> Delta cross section is in agreement with the experimental data. Medium e ects on the pi*N -> Delta cross section and momentum-dependent Delta-decay width are shown to be substantial. PACS number(s): 24.10.Cn; 13.75.Cs; 21.65.+f; 25.70.-z…

Author: | Guangjun Mao, Ludwig Neise, Horst Stöcker, Walter Greiner |
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URN: | urn:nbn:de:hebis:30-23206 |

Document Type: | Preprint |

Language: | English |

Date of Publication (online): | 2005/12/14 |

Year of first Publication: | 1998 |

Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |

Release Date: | 2005/12/14 |

Tag: | Kollisionen schwerer Ionen ; Zustandsgleichungequation of state; heavy-ion collisions |

Source: | http://arxiv.org/abs/nucl-th/9803045 , Version 2 , erste Version unter dem Titel "Self-consistent relativistic quantum transport theory of hadronic matter: the coupled nucleon, delta and pion system" http://arxiv.org/abs/nucl-th/9803045v1 |

HeBIS PPN: | 185323103 |

Institutes: | Physik |

Dewey Decimal Classification: | 530 Physik |

Sammlungen: | Universitätspublikationen |

Licence (German): | Veröffentlichungsvertrag für Publikationen |