Abstract
For Very Large Hadron Colliders (VLHC), flat hadron beams with their vertical emittance much smaller than their horizontal emittance are proposed to maximize the design luminosity. Emittance growth caused by intra-beam scattering (IBS) is a concern on the realization of such flat-beam conditions. Based on existing IBS formalism on beams of Gaussian distribution, we analytically derive the IBS growth rate and determine the IBS limit on the aspect ratio for a flat beam.
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