An important issue for alpha - particle transport due to Alfven instabilities is the number of unstable Alfven Eigenmodes (AE) (1). The spectrum of multiple Kinetic Toroidal AE (KTAE) in tokamaks was predicted in Refs.(2) and studied extensively in JET experiments (3). In addition to KTAE, a new enlarged spectrum of ideal Low-Shear TAE (LSTAE) was predicted to appear within a toroidicity-induced Alfven gap when the inverse aspect ratio, epsilon chemical bounds r_m / R, is larger than local value of magnetic shear, S chemical bounds rq' / 1, epsilon S (4). Due to their radially broadened width, these new LSTAE are expected to be more strongly destabililized by alpha-particles than the standard ideal TAE or nonideal KTAE. Although LSTAE might occur at the very flat part of the q (r)-profile in ITER, these modes are difficult to observe in JET, where the inequality epsilon S is not typically valid. It is therefore of interest to analyse a possibility for nultiple Low-Shear modes to occur within an ellipticity-induced gap, where modes will be determined by ellipticity and therefore less restrictive conditions may hold for the magnetic shear. A good opportunity for the study of Low-Shear TAE exists in spherical tokamaks (ST), where the condition epsilon S for LSTAE may be satisfied naturally due to the tight aspect ratio, R_0 / a => (5).
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