Multibody neutrino exchange in a neutron star: neutrino sea and border effects

Details Multibody neutrino exchange in a neutron star: neutrino sea and border effects Multibody neutrino exchange in a neutron star: neutrino sea and border effects

1997-12-04

arxiv.org/abs/hep-ph/9712266v1

Phys.Lett. B423 (1998) 355-363

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex file (Revtex), 11 pages, 2 figures

Scientific paper

10.1016/S0370-2693(98)00037-9

The interaction due to the exchange of massless neutrinos between neutrons is a long-range force. Border effects on this multibody exchange inside a dense core are studied and computed analytically in 1 + 1 dimensions. We demonstrate in this work that a proper treatment of the star's border effect automatically incorporates the condensate contribution as a consequence of the appropriate boundary conditions for the neutrino Feynman propagator inside the star. The total multibody exchange contribution is infrared-safe and vanishes exactly in 1 + 1 dimensions. The general conclusion of this work is that the border effect does not modify the result that neutrino exchange is infrared-safe. This toy model prepares the ground and gives the tools for the study of the realistic 3 + 1 star.

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