Track Interaction Theory for Heavy Charged Particle TL Supralinearity

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Abstract
Microdosimetric phenomena, not addressed by conventional kinetic calculations in the framework of 'conduction band/valence band' atomic models, play an important role in the thermoluminescence (TL) dose response and the relative TL efficiency of various types of radiation fields of different microscopic patterns of ionisation density. In this paper we discuss the contribution of higher order nearest neighbour interactions in track interaction theory applied to heavy charged particle (HCP) induced TL linearity and supralinearity in LiF:Mg,Ti. For example, at a fluence of 1010 particles.cm-2 and for an average charge carrier migration distance of 3700 Å, the relative contribution to the measured supralinearity factor of 1.65 for peak 8 in LiF:Mg,Ti from first, second and third nearest neighbour interactions is 70%, 24% and 6% respectively. Even higher order track interactions contribute less than 1% to the supralinearity. The track interaction model should be viewed as the model providing the microdosimetric framework which, when coupled with other appropriate physical mechanisms (spatial localisation of traps and recombination centres, competing centres in the recombination stage, variation in the capture cross section with temperature) can be used to describe all the dominant features of the linear/supralinear behaviour of LiF:Mg,Ti.

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