[en] A change in the composition of radioactive wastes, i.e., transmutation (burning-out) is possible as a result of fission or fusion as well as in a neutron flux generated by beams of charged particles accelerated to a high energy. One variation of the acceleration method is based on neutron production in heavy targets (U, Pb) by beams of heavy particles (protons, deuterons, etc.) with an energy of about 1 GeV. Another facet of the accelerator method underlying this study makes it possible to reduce the necessary energy of the accelerated particles by a factor of almost 10, while maintaining the energy feasibility of transmutation. In the variation a neutron flux is produced in a cyclic accumulator on an internal target of a light material that is intersected repeatedly by a accumulator on an internal target of a light material that is intersected repeatedly by a 100-MeV deuteron beam in comparison with neutron production in a thick target, when the beam accelerated particles is completely open-quotes quenchedclose quotes in it, the neutron yield per accelerated deuteron is tens of times higher. Depending on the requirements on the neutron flux (energy spectrum, intensity, and energy cost of a neutron), the target can be made, e.g., of deuterium, lithium, beryllium, or carbon. The calculated neutron flux on a carbon target exceeds 10¹⁷ sec^-1 at a density of up to 10¹⁶ sec^-1cm^-2 and an energy of about 50 MeV. The calculated rate of transmutation of ⁹⁰Sr and ¹³⁷Cs exceeds 10 kg/yr. According to estimated about 10% of the electrical energy produced by a 1-GW reactor must be expended on burning-out the strontium and cesium produced in it