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Low energy phenomena in strong interaction can not yet? ; be described in terms of quarks and gluons. Instead, effective field theories are used that contain the appropriate degrees of freedom to describe physical phenomena occurring at a chosen length scale, but ignore the substructure and the degrees of freedom at shorter distances corresponding to higher energies ; . Chiral perturbation theory was extremely successful in describing systems like pionic atoms, unfortunately it is not applicable for the kaonic systems. This is due to presence of resonances like the 1405 ; , only slightly below the reaction threshold. There are however non-perturbative coupled-channel techniques based on the driving terms of the chiral effective Lagrangian which proved to be useful. They generate the 1405 ; dynamically as a KN quasibound state and as a resonance in the channel. A general feature of the theory in this field is that it relies heavily on input from experimental data. The data comes from kaon scattering experiments, atomic x ray measurements and the energy and width of known resonances. The existing data on low energy KN and KN scattering are rare, poor in statistics and conflicting, furthermore the extrapolation to zero energy introduces model dependencies. The kaonic atom experiments deliver input for theory and are also tools to test the ability of theoretical models to accommodate the set of experimental values. The vividness of the field was stimulated by recent and ongoing experimental work. For some of the newer theoretical works see: [3] [4] [6] [9] [5] To extract the isospin dependant KN scattering lengths, in addition to kaonic hydrogen a measurement of kaonic deuterium is necessary, which is the central goal of our experiment. Furthermore the understanding of the KN interaction at threshold is important for the search for kaon nuclear clusters as predicted by the model of Akaishi and Yamazaki [8]. The existence of these kaonic clusters is still controversial, various new experiments are currently being planned throughout the world, at LNF the AMADEUS experiment [12]. The most commonly used method to calculate the matrix element K 0 | evaluate the three point correlation function shown in Fig. 1. This corresponds to creating a K 0 some time t1 using a zero-momentum source; allowing it to propagate for time tO - t1 to isolate the lowest state; inserting the four-fermion operator at time tO to convert the K 0 to and finally allowing the K 0 to propagate for long time t2 - tO . cancel the K 0 K source normalization at times t1 and t2 and the time evolution factors e-EK t for times t2 - tO and tO - t1 it customary to divide this three-point function by the product of two 2-point functions as shown in Fig 1. If, in the 2-point functions, the bilinear operator used to annihilate create ; the K 0 K time tO is the axial density s4 5 d, then the ratio of the 3-point correlation function to the two 2-point functions is 8 3 ; defined to be the value of the matrix element at the physical kaon and normalized 2 by the Vacuum Saturation Approximation value 8 3MK FK K 0 and kava.

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