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We study neutral Fermions pair creation with anomalous magnetic moment fromthe vacuum by time-independent magnetic-field inhomogeneity as an externalbackground. We show that the problem is technically reduced to the problem ofcharged-particle creation by an electric step, for which the nonperturbativeformulation of strong-field QED is used. We consider a magnetic step given byan analytic function and whose inhomogeneity may vary from a "gradual" to a"sharp" field configuration. We obtain corresponding exact solutions of theDirac-Pauli equation with this field and calculate pertinent quantitiescharacterizing vacuum instability, such as the differential mean number andflux density of pairs created from the vacuum, vacuum fluxes of energy andmagnetic moment. We show that the vacuum flux in one direction is formed fromfluxes of particles and antiparticles of equal intensity and with the samemagnetic moments parallel to the external field. Backreaction to the vacuumfluxes leads to a smoothing of the magnetic-field inhomogeneity. We alsoestimate critical magnetic field intensities, near which the phenomenon couldbe observed.

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