Soft electroweak bremsstrahlung: Theorems and astrophysical relevance

Physics

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Nucleon-Nucleon Interactions, Nuclear Matter Aspects Of Neutron Stars, Nuclear Forces

Scientific paper

We analyze the structure of the amplitudes for electroweak bremsstrahlung in nucleon-nucleon collisions, for the charged (N+N-->N+N+e-+ν¯e) and neutral (N+N-->N+N+νf+ν¯f) weak current. Theorems are derived for the matrix elements of the vector and axial-vector currents in the soft regime. A comparison is made with previous work, usually performed in the nonrelativistic limit and by using a one-pion exchange two-nucleon interaction in Born approximation. Such approaches are argued to be unrealistic. This is explicitly shown for the neutrino-pair emission process in neutron-neutron scattering. Our results are relevant for calculations of neutrino emissivities in supernovae and in cooling scenarios of neutron stars.

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