BCS approximation to the effective vector vertex of superfluid fermions

dc.creatorLeinson, L. B.
dc.date2008-04-05
dc.date.accessioned2026-07-07T11:49:38Z
dc.date.available2026-07-07T11:49:38Z
dc.descriptionWe examine the effective interaction of nonrelativistic fermions with an external vector field in superfluid systems. In contrast to the complicated vertex equation, usually used in this case, we apply the approach which does not employ an explicit form of the pairing interaction. This allows to obtain a simple analytic expression for the vertex function only in terms of the order parameter and other macroscopic parameters of the system. We use this effective vertex to analyze the linear response function of the superfluid medium at finite temperatures. At the time-like momentum transfer, the imaginary part of the response function is found to be proportional to the fourth power of small Fermi velocity, i.e. the energy losses through vector currents are strongly suppressed. As an application, we calculate the neutrino energy losses through neutral weak currents caused by the pair recombination in the superfluid neutron matter at temperatures lower than the critical one for S-wave pairing. This approach confirms a strong suppression of the neutrino energy losses as predicted in Ref.[4].
dc.description19 pages, no figures
dc.identifierhttps://arxiv.org/abs/0804.0841
dc.identifierhttp://arxiv.org/abs/0804.0841
dc.identifierPhys.Rev.C78:015502,2008
dc.identifierdoi:10.1103/PhysRevC.78.015502
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203301
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.titleBCS approximation to the effective vector vertex of superfluid fermions
dc.typetext

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