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If the observed quasi-periodic oscillations in magnetar flares are partiallyconfined to the crust, then the oscillation frequencies are unique probes ofthe nuclear physics of the neutron star crust. We study crustal oscillations inmagnetars including corrections for a finite Alfven velocity. Our crust modeluses a new nuclear mass formula that predicts nuclear masses with an accuracyvery close to that of the finite range droplet model. This mass model forequilibrium nuclei also includes shell corrections and an updated neutron-dripline. We perturb our crust model to predict axial crust modes and assign themto observed giant flare quasi-periodic oscillation frequencies from the softgamma-ray repeater SGR 1806-20. We find magnetar crusts that match observationsfor various magnetic field strengths, entrainment of the free neutron gas inthe inner crust, and crust-core transition densities. We find that observationscan be reconciled with smaller values of the symmetry energy slope parameter,L, if there is a significant amount of entrainment of the neutrons by thesuperfluid or if the crust-core transition density is large. We also findneutron star masses and radii which are in agreement with expectations fromwhat is known about low-density matter from nuclear experiment. Matchingobservations with a field-free model we obtain the approximate values of M=1.35 Msun and R = 11.9 km. Matching observations using a model with thesurface dipole field of SGR 1806-20 (B=2.4x10^15 G) we obtain the approximatevalues of M = 1.25 Msun and R = 12.4 km.

Magnetar giant flare oscillations and the nuclear symmetry energy