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In recent Deuterium-Tritium experiments on the Tokamak Fusion Test Reactor(TFTR), both the Pellet Charge Exchange (PCX) [Phys. Rev. Lett. 75, 846 (1995)], [Nucl. Fusion 35, 1437 (1995) ] and the alpha Charge Exchange Recombination Spectroscopy (a-CHERS) [Phys. Rev. Lett. 75, 649 (1995)l diagnostics indicate that sawtooth oscillations can cause significant broadening of the fusion alpha radial density profile. We investigate this sawtooth mixing phenomenon by applying a Hamiltonian guidingdoi:10.2172/304199 fatcat:dqv3zybipne47j7dhv7odjwiti