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Vertex renormalization of weak interactions and Cooper-pair breaking in cooling compact stars

Abstract : At temperatures below the critical temperature of superfluid phase transition baryonic matter emits neutrinos by breaking and recombination of Cooper pairs formed in the condensate. The strong interactions in the nuclear medium modify the weak interaction vertices and the associated neutrino loss rates. We study these modifications non-perturbatively by summing infinite series of particle-hole diagrams in the S-wave superfluid neutron matter. We argue that a consistent approach requires fulfillment of the dispersion relations for the polarization tensor, which insure the unitarity of the S-matrix. The pairing and particle-hole interactions in neutron matter are described in the framework of the BCS and Fermi-liquid theories derived from microscopic interactions. The neutrino loss rates in the vector channel are enhanced compared to the rates derived from free-space weak vertices in the temperature domain close to the critical temperature, T_c, but are suppressed by factors 5-10 for temperatures below 0.5 T_c. The vertex corrected axial vector current emission is suppressed by the ratio of the baryon to the neutrino velocity squared.
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http://hal.in2p3.fr/in2p3-00129306
Contributor : Suzanne Robert <>
Submitted on : Tuesday, February 6, 2007 - 3:38:25 PM
Last modification on : Wednesday, September 16, 2020 - 4:07:55 PM

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A. Sedrakian, H. Müther, P. Schuck. Vertex renormalization of weak interactions and Cooper-pair breaking in cooling compact stars. Physical Review C, American Physical Society, 2007, 76, pp.055805. ⟨10.1103/PhysRevC.76.055805⟩. ⟨in2p3-00129306⟩

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