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We investigated the high energy spin excitations in electron-doped$\mathrm{La}_{2-x} \mathrm{Ce}_x \mathrm{CuO}_{4}$, a cuprate superconductor,by resonant inelastic x-ray scattering (RIXS) measurements. Efforts were paidto disentangle the paramagnon signal from non-spin-flip spectral weight mixingin the RIXS spectrum at $\bf{Q_{\|}}$ = $(0.6\pi, 0)$ and $(0.9\pi, 0)$ alongthe (1 0) direction. Our results show that, for doping level x from 0.07 to0.185, the variation of the paramagnon excitation energy is marginal. Wediscuss the implication of our results in connection with the evolution of theelectron correlation strength in this system.

Evolution of the magnetic excitations in electron-doped $\mathrm{La}_{2-x} \mathrm{Ce}_x \mathrm{CuO}_{4}$