Constraining the origin of the puzzling source HESS J1640-465 and the PeVatron candidate HESS J1641-463 using Fermi-LAT observations

There are only few very-high-energy sources in our Galaxy which might accelerate particles up to the knee of the cosmic-ray spectrum. To understand the mechanisms of particle acceleration in these PeVatron candidates, textit{Fermi}-LAT and H.E.S.S. observations are essential to characterize their $gamma$-ray emission. HESS J1640$-$465 and the PeVatron candidate HESS J1641$-$463 are two neighboring (ang[astroang]{0.25}) $gamma$-ray sources, spatially coincident with the radio supernova remnants (SNRs) G338.3$-$0.0 and G338.5+0.1. Detected both by H.E.S.S. and textit{Fermi}-LAT, we present here a morphological and spectral analysis of these two sources using 8 years of textit{Fermi}-LAT data between 200 si{megaelectronvolt} and 1 si{teraelectronvolt} with multi-wavelength observations to assess their nature. The morphology of HESS J1640$-$465 is described by a 2D Gaussian ($sigma=$ ang[astroang]{0.053} $pm$ ang[astroang]{0.011}$_{stat}$ $ pm$ ang[astroang]{0.03}$_{syst}$) and its spectrum is modeled by a power-law with a spectral index $Gamma = 1.8pm0.1_{rm stat}pm0.2_{rm syst}$. HESS J1641$-$463 is detected as a point-like source and its GeV emission is described by a logarithmic-parabola spectrum with $alpha = 2.7 pm 0.1_ {rm stat} pm 0.2_ {rm syst} $ and significant curvature of $beta = 0.11 pm 0.03_ {rm stat} pm 0.05_ {rm syst} $. Radio and X-ray flux upper limits were derived. We investigated scenarios to explain their emission, namely the emission from accelerated particles within the SNRs spatially coincident with each source, molecular clouds illuminated by cosmic rays from the close-by SNRs, and a pulsar/PWN origin. Our new emph{Fermi}-LAT results and the radio and flux X-ray upper limits pose severe constraints on some of these models.