Electroweak bremsstrahlung from neutron-neutron scattering

Statistics – Applications

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Applications Of Electroweak Models To Specific Processes, Nucleon-Nucleon Interactions, Nuclear Tests Of Fundamental Interactions And Symmetries, Nuclear Matter Aspects Of Neutron Stars, Applications Of Electroweak Models To Specific Processes, Nucleon-Nucleon Interactions, Nuclear Tests Of Fundamental Interactions And Symmetries, Nuclear Matter Aspects Of Neutron Stars

Scientific paper

Background: Nucleon-nucleon (NN) bremsstrahlung processes NNγ (nnγ, npγ, and ppγ) have been extensively investigated. Neutrino-pair bremsstrahlung processes from nucleon-nucleon scattering NNνν¯ (nnνν¯, npνν¯, and ppνν¯) have recently attracted attention in studies of neutrino emission in neutron stars. The calculated NNνν¯ cross sections (or emissivities) are found to be sensitive to the two-nucleon dynamical model used in the calculations. Purpose and Method: A realistic one-boson-exchange (ROBE) model for NN interactions is used to construct the electroweak bremsstrahlung amplitudes using the well-known nucleon electromagnetic and weak interaction vertices. The constructed nnγ and nnνν¯ amplitudes are investigated by applying them to calculate nnγ and nnνν¯ cross sections, respectively. Results: (i) The 190-MeV ROBE nnγ cross sections agree well with those calculated using the TuTts amplitude, but they are in disagreement with those calculated using the Low amplitude. (ii) The calculated nnνν¯ cross sections using the ROBE amplitude at the neutrino-pair energy ω = 1 MeV are in quantitative agreement with those calculated by Timmermans [Phys. Rev. C 65, 064007 (2002)], who used the leading-order term of the soft neutrino-pair bremsstrahlung amplitude. Conclusions: The nnγ amplitude in the ROBE approach, which obeys the soft-photon theorem, has a predictive power similar to that of the TuTts amplitude. The nnνν¯ amplitude in the ROBE approach, which is consistent with the soft neutrino-pair bremsstrahlung theorem, has a predictive power similar to that of the soft neutrino-pair bremsstrahlung amplitude of Timmermans in the low neutrino-pair energy region.

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