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We analytically solve the problem of an exciton (with particles interactingby a delta potential) in a one-dimensional quantum ring in the presence of anAharonov-Bohm flux. By following a more straightforward method than in earlierworks we determine the energy spectrum and the associated eigenfunctionstogether with other physical properties of the system in closed analyticalforms. After finding the energy spectra of the exciton in this system, we thencalculate the dynamic linear electric polarizability and the absorptioncoefficients; we find that the magnetic flux changes the values of theabsorption coefficients dramatically and that by changing the value of magneticflux parameter from 0 to 0.5 dark exciton states states transform to brightones and vice versa.

Linear Dynamic Polarizability and the Absorption Spectrum of an Exciton in an Aharonov-Bohm Quantum Ring