Abstract
We present the first rest-frame optical size-luminosity relation of galaxies
at $z>7$, using the NIRCam imaging data obtained by the GLASS Jame Webb Space
Telescope Early Release Science (GLASS-JWST-ERS) program, providing the deepest
extragalactic data of the ERS campaign. Our sample consist of 21
photometrically selected bright galaxies with $m_F444Włeq27.8$ at
$7<z<9$ and $m_F444W<28.2$ at $z\sim9-15$. We measure the size of the
galaxies in 5 bands, from the rest-frame optical ($\sim4800\,\AA$) to the
ultra-violet (UV; $\sim1600\,\AA$) based on the Sérsic model, and
analyze the size-luminosity relation as a function of wavelength. Remarkably,
the data quality of NIRCam imaging is sufficient to probe the half-light radius
$r_e$ down to $100\,pc$ at $z>7$. Given the limited sample size and
magnitude range, we first fix the slope to that observed for larger samples in
rest-frame UV using HST samples. The median size $r_0$ at the reference
luminosity $M=-21$ decreases slightly from rest-frame optical, $370\pm50\,pc$,
to UV, $230\pm50\,pc$. We then re-fit the size-luminosity relation allowing the
slope to vary. The slope is consistent with $\beta\sim0.2$ for all bands except
F150W, where we find a marginally steeper slope of $\beta=0.51\pm0.13$. The
steep UV slope is mainly driven by the smallest and faintest galaxies. If
confirmed by larger samples, it implies that the UV size-luminosity relation
breaks toward the faint end as suggested by lensing studies.
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