Multi-objective optimization of Strong Hadron Cooler Energy Recovery Linac injector

The Strong Hadron Cooler (SHC) proposed for the Electron-Ion Collider (EIC) requires high-current, low-emittance electron bunches with minimal energy spread. The Energy Recovery Linac (ERL) injector plays a critical role in shaping the beam before acceleration. We present a multi-objective optimization study of the SHC ERL injector and merger using space charge tracking in Bmad and parallel genetic algorithm. The optimized configuration reduces the normalized transverse emittance by 62% and energy spread by 85% from the original configuration.