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The DArk Matter Particle Explorer (DAMPE) experiment has recently announcedthe first results for the measurement of total electron plus positron fluxesbetween 25 GeV and 4.6 TeV. A spectral break at about 0.9 TeV and a tentativepeak excess around 1.4 TeV have been found. However, it is very difficult toreproduce both the peak signal and the smooth background including spectralbreak simultaneously. We point out that the numbers of events in the two energyranges (bins) close to the 1.4 TeV excess have $1\sigma$ deficits. With thebasic physics principles such as simplicity and naturalness, we consider the$-2\sigma$, $+2\sigma$, and $-1\sigma$ deviations due to statisticalfluctuations for the 1229.3~GeV bin, 1411.4~GeV bin, and 1620.5~GeV bin.Interestingly, we show that all the DAMPE data can be explained consistentlyvia both the continuous distributed pulsar and dark matter interpretations,which have $\chi^{2} \simeq 17.2 $ and $\chi^{2} \simeq 13.9$ (for all the 38points in DAMPE electron/positron spectrum with 3 of them revised),respectively. These results are different from the previous analyses byneglecting the 1.4 TeV excess. At the same time, we do a similar global fittingon the newly released CALET lepton data, which could also be interpreted bysuch configurations. Moreover, we present a $U(1)_D$ dark matter model withBreit-Wigner mechanism, which can provide the proper dark matter annihilationcross section and escape the CMB constraint. Furthermore, we suggest a few waysto test our proposal.

A simple and natural interpretations of the DAMPE cosmic-ray electron/positron spectrum within two sigma deviations