Design of Zeeman spectroscopy experiment with magnetized silicon plasma generated in the laboratory

Abstract A laboratory measurement of the Zeeman effect in the soft X-ray range can be realized using a laser-produced strong magnetic field and laser-driven magnetic field compression. In this measurement, a pair of laser-driven capacitor-coil targets produces a spatially uniform seed magnetic field of several hundred Tesla, and a low-density SiO2 foam is soaked in the magnetic field. A strongly magnetized high-energy-density SiO2 plasma is then produced by laser-driven compressions of both the foam and the magnetic field. According to a numerical hydrodynamic simulation, a  > 10 kT peak magnetic field is achievable with a 100 T seed magnetic field produced by the GEKKO-XII laser facility at Osaka University, Japan. The soft X-ray spectrum is calculated using the MASCB-PPPB code with plasma parameters obtained with the FLASH code. Zeeman splitting of the 4 f − 3 d transition line from lithium-like Si ions of 1.2 eV is observed at 95.4 eV emission peak energy, which is observable even considering the Stark broadening and the spectral resolution of the spectrometer.