Abstract
In synchrotrons the transition energy W tr=m 0 c 2(γtr−1) is fundamentally important because it determines the maximum attainable accelerated currents. From this point of view it is desirable that the momentum compaction factor α = 1/γ tr 2 as small as possible or even negative, which makes γtr imaginary and accordingly rules out transition energy crossing by particles under acceleration. In this connection a theory of “resonant” lattices with negative momentum compaction factor based on the correlation principle of simultaneous superperiodic modulation of the orbit curvature and lens gradient functions is worked out.
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