Predicted γ-photon count maps and smoothed significance maps for energies exceeding 25 TeV in the single traveling PWN modeling attempt. Panel (a) shows the γ-photon count map calculated with D₀ = 4.8 × 10²⁴ cm² s⁻¹, d = 0.4 kpc, and v = 1600 km s⁻¹. The blue arrow indicates the proper motion direction of the hypothetical pulsar proposed in our model. Panel (b) shows the predicted significance map seen from LHAASO. The result has been smoothed with the LHAASO PSF at energies above 25 TeV (1$\sigma =0\stackrel{°}{.}2$). As a comparison, the LHAASO significance map on the dumbbell-like structure can be found at the left bottom of Fig. 10 in the LHAASO catalog (Cao et al. 2024). Panels (c)–(d) give the results of γ-photon count map and smoothed significance map, where PSR J0218+4232 is considered as the traveling pulsar.