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10 November 2024
 
  » arxiv » astro-ph/9711132

 Article overview



Supernova Neutrino Opacity from Nucleon-Nucleon Bremsstrahlung and Related Processes
Steen Hannestad ; Georg Raffelt ;
Date 12 Nov 1997
Journal Astrophys.J. 507 (1998) 339-352
Subject astro-ph hep-ph
AbstractElastic scattering on nucleons, u N -> N u, is the dominant supernova (SN) opacity source for mu and au neutrinos. The dominant energy- and number-changing processes were thought to be u e^- -> e^- u and uar u <-> e^+ e^- until Suzuki (1993) showed that the bremsstrahlung process uar u NN <-> NN was actually more important. We find that for energy exchange, the related ``inelastic scattering process’’ u NN <-> NN u is even more effective by about a factor of 10. A simple estimate implies that the u_mu and u_ au spectra emitted during the Kelvin-Helmholtz cooling phase are much closer to that of uar_e than had been thought previously. To facilitate a numerical study of the spectra formation we derive a scattering kernel which governs both bremsstrahlung and inelastic scattering and give an analytic approximation formula. We consider only neutron-neutron interactions, we use a one-pion exchange potential in Born approximation, nonrelativistic neutrons, and the long-wavelength limit, simplifications which appear justified for the surface layers of a SN core. We include the pion mass in the potential and we allow for an arbitrary degree of neutron degeneracy. Our treatment does not include the neutron-proton process and does not include nucleon-nucleon correlations. Our perturbative approach applies only to the SN surface layers, i.e. to densities below about 10^{14} g cm^{-3}.
Source arXiv, astro-ph/9711132
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