Spectral Analysis of the 2019 and 2022 Outbursts of SAX J1808.4-3658

The accreting millisecond pulsar SAX J1808.4-3658 went into outburst from July to November in 2019 and August to October in 2022, which were observed by $\mathit{\text{NICER}}$ and $\mathit{\text{NuSTAR}}$. In this paper, we first present the light curve for both outbursts using $\mathit{\text{NICER}}$ data. Several thermonuclear bursts occurred during these outbursts. We analyze the evolution of the spectra of two thermonuclear bursts that took place during the 2019 $\mathit{\text{NuSTAR}}$ observation. We proceed by analyzing the combined broad-band spectrum using $\mathit{\text{NICER}}$ and $\mathit{\text{NuSTAR}}$ for the first time for this source. We jointly modeled the combined quiescent spectra of both outbursts with a self-consistent reflection component. In our best-fit model, we find evidence of reflection, consistently constrain the inclination to 72°${}_{-4\mathrm{°}}^{+1\mathrm{°}}$, considering this reflection, and identify a 1 keV feature during persistent emission.