Vacuum instability due to the creation of neutral Fermion with anomalous magnetic moment by magnetic-field inhomogeneities

Abstract

We study neutral Fermions pair creation with anomalous magnetic moment from the vacuum by time-independent magnetic-field inhomogeneity as an external background. We show that the problem is technically reduced to the problem of charged-particle creation by an electric step, for which the nonperturbative formulation of strong-field QED is used. We consider a magnetic step given by an analytic function and whose inhomogeneity may vary from a "gradual" to a "sharp" field configuration. We obtain corresponding exact solutions of the Dirac-Pauli equation with this field and calculate pertinent quantities characterizing vacuum instability, such as the differential mean number and flux density of pairs created from the vacuum, vacuum fluxes of energy and magnetic moment. We show that the vacuum flux in one direction is formed from fluxes of particles and antiparticles of equal intensity and with the same magnetic moments parallel to the external field. Backreaction to the vacuum fluxes leads to a smoothing of the magnetic-field inhomogeneity. We also estimate critical magnetic field intensities, near which the phenomenon could be observed.

30 pages, 1 figure

References in corpus (12)

• The strongest cosmic magnets: Soft Gamma-ray Repeaters and Anomalous X-ray Pulsars
• Equation of State of a Dense and Magnetized Fermion System
• Magnetic monopoles revisited: Models and searches at colliders and in the Cosmos
• Implications of a Primordial Magnetic Field for Magnetic Monopoles, Axions, and Dirac Neutrinos
• Schwinger pair production of magnetic monopoles: momentum distribution for heavy-ion collisions
• Observing Dark Matter via the Gyromagnetic Faraday Effect
• Probing the quantum vacuum with ultra intense laser pulses
• Monopole-Antimonopole Pair Production in Primordial Magnetic Fields
• Exact Pair Production Rate for a Smooth Potential Step
• Particle scattering and vacuum instability by exponential steps
• Vacuum instability in a constant inhomogeneous electric field. A new example of exact nonperturbative calculations
• Fermion Production in Strong Magnetic Field and its Astrophysical Implications

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