We study numerically the interaction and disorder effects for two quasiparticles in two and three dimensions. The dependence of the interaction-induced Breit-Wigner width on the excitation energy above the Fermi level, the disorder strength and the system size is determined. A regime is found where the width is practically independent of the excitation energy. The results allow to estimate the two quasiparticle mobility edge.
@article{arxiv.cond-mat/9612006,
title = {Two interacting quasiparticles above the Fermi sea},
author = {Ph. Jacquod and D. L. Shepelyansky},
journal= {arXiv preprint arXiv:cond-mat/9612006},
year = {2009}
}