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The magnetic field.

The Lorentz-force-driven global torsional nodeless vibrations of the neutron star model with Ferraro’s form of axisymmetric nonhomogeneous poloidal internal and dipolar external magnetic field are investigated. Using the energy variational method of magneto-solid-mechanical theory of a perfectly conducting elastic medium threaded by magnetic field, the one-parametric spectral formula for the frequency of this toroidal Alfvén vibrational mode is obtained and compared with the frequency spectrum of this mode in the neutron star with homogeneous internal and dipolar external magnetic field. The relevance of considered asteroseismic models to quasi-periodic oscillations discovered in the X-ray flux during the giant flare of SGR 1806-20 and SGR 1900+14 is discussed.