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We investigate the effects of Hund's coupling on the resonant X-rayabsorption spectra of the recently discovered family of layered nickelatesuperconductors. We contrast two scenarios depending on the relative strengthof the ratio of the effective Hund's coupling ($J_H$) to the crystal fields($\Delta$) in these systems. We carry out the cluster and DFT+DMFT simulationsof the RIXS signal at the Ni $L$-edge for different values of Hund's coupling.We find the latter dominates for the parent compound while the former becomesimportant for sufficiently large doping. Our results are consistent with theobservations of a softening of a RIXS peak as a function of doping by Rossi{\sl et al.}~\cite{PhysRevB.104.L220505}, only when the Hund coupling issizeable. To interpret the results, we separate the theoretical RIXS signalinto spin conserving and non-spin conserving channels and conclude that theinfinite layer nickelates are in a regime where $\Delta$ and $J$ competeeffectively and suggest further experimental tests of the theory.

Softening of $dd$ excitation in the resonant inelastic x-ray scattering spectra as a signature of Hund's coupling in nickelates