On some singularities of the correlation functions that determine neutrino opacities

Details On some singularities of the correlation functions that determine neutrino opacities On some singularities of the correlation functions that determine neutrino opacities

1998-12-18

arxiv.org/abs/astro-ph/9812362v1

Phys.Rev. D60 (1999) 023002

Astronomy and Astrophysics

Astrophysics

8 pages

Scientific paper

10.1103/PhysRevD.60.023002

Certain perturbation graphs in the calculation of the effects of the medium on neutrino scattering in supernova matter have a nonintegrable singularity in a physical region. A number of papers have addressed the apparent pathology through an ansatz that invokes higher order (rescattering) effects. Taking the Gamow-Teller terms as an example, we display an expression for the spin-spin correlation function that determines the cross-sections. It is clear from the form that there are no pathologies in the order by order perturbation expansion. Explicit formulae are given for a simple case, leading to an answer that is very different from one given by other authors.

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