0 51 10 67 v 1 2 4 N ov 2 00 5 Relativistic effects in neutrino - Fermi gas interactions
نویسندگان
چکیده
We study neutrino interactions in a hadron gas within a relativistic framework. The hadron matter is described by a non-interacting Fermi gas in beta equilibrium. We show that the introduction of relativistic effects causes a sizable enhancement of the neutrino-scattering cross sections. Neutrino interactions are pivotal in the dynamics of core-collapse supernova explosions and in the cooling of a newly formed neutron star. In recent years, several studies of neutrino scattering in nucleon matter at supra-nuclear densities have been made [1, 2, 3]. Thereby the influence of various aspects of the nuclear dynamics and of the weak nucleon current was investigated. In this work, we focus on the impact of the implementation of relativistic effects on the description of the process. The differential cross section for the interaction of a neutrino ν(p ν) with a hadron h 1 (p h 1) in the relativistic gas can be written as
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