%0 Journal Article %T Four-Particle Anyon Exciton: Boson Approximation %A M. E. Portnoi %A E. I. Rashba %J Physics %D 1995 %I arXiv %R 10.1142/S0217984995000139 %X A theory of anyon excitons consisting of a valence hole and three quasielectrons with electric charges $(-e/3)$ is presented. A full symmetry classification of the $k=0$ states is given, where $k$ is the exciton momentum. The energy levels of these states are expressed by quadratures of confluent hypergeometric functions. It is shown that the angular momentum $L$ of the exciton ground state depends on the distance between electron and hole confinement planes and takes the values $L=3n$, where $n$ is an integer. With increasing $k$ the electron density shows a spectacular splitting on bundles. At first a single anyon splits off of the two-anyon core, and finally all anyons become separated. %U http://arxiv.org/abs/cond-mat/9502071v1