An example particle therapy system includes: a synchrocyclotron, and a gantry on which the synchrocyclotron is mounted to rotate around a patient position to position the synchrocyclotron relative to a treatment area of the patient. The synchrocyclotron includes a magnet having a coil to receive electrical current and to generate a magnetic field in response to the electrical current. The magnetic field causes the particles to move orbitally within a cavity at an energy that corresponds to the electrical current, and the coil includes multiple integrated conductors that are wound together. An integrated conductor includes: a core including conductive or superconducting material; and at least six strands wound around the core, with each of the at least six strands including a superconducting material. The synchrocyclotron includes an extraction channel to receive the particles from the cavity and to output the particles received from the cavity.