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It has been long debated whether the high-energy gamma-ray radiation from theCrab nebula stems from leptonic or hadronic processes. In this work, weinvestigate the multi-band non-thermal radiation from the Crab pulsar windnebula with the leptonic and leptonic-hadronic hybrid models, respectively.Then we use the Markov Chain Monte Carlo(MCMC) sampling technology and methodof sampling trace to study the stability and reasonability of the modelparameters according to the recent observed results and obtain the best-fittingvalues of parameters. Finally, we calculate different radiative componentsgenerated by the electrons and protons in the Crab nebula. The modeling resultsindicate that the pure leptonic origin model with the one-zone only can partlyagree with some segments of the data from various experiments (including the$\rm PeV$ gamma-ray emission reported by the LHAASO and the other radiationranging from the radio to very high energy (VHE) gamma-ray waveband), and thecontribution of hadronic interaction is hardly constrained. However, we findthat the hadronic process may also contribute, especially in the energy rangeexceeding the $\rm PeV$. In addition, it can be inferred that the higher energysignals from the Crab nebula could be observed in the future.

Ultrahigh-energy Gamma-Ray Radiation from the Crab Pulsar Wind Nebula