Abstract
Identifying very high redshift galaxies is crucial for understanding the
formation and evolution of galaxies. However, nowadays many questions remain
and the uncertainty on the Epoch of Reionization is large. In this approach,
some models allow a double reionization scenario, although the number of
confirmed detections at very high-$z$ is still scarce to stand as observational
proof. The main goal of this project is to study the feasibility of searching
for Lyman-$\alpha$ Emitters (LAEs) at $z 9$ using a narrow-band (NB)
filter designed specifically by our team and built for this experiment. We make
use of the NB technique to select candidates by measuring the flux excess due
to the Ly$\alpha$ emission. The observations were taken with a NB filter (FWHM
= 11 nm and central wavelength $łambda_c = 1.257 \mu$m) and the CIRCE
near-infrared camera for the GTC telescope. We describe a data reduction
procedure specially optimized to minimize the instrumental effects. With a
total exposure time of 18.3 hours, the final NB image covers an area of $\sim
6.7$ arcmin$^2$, which corresponds to a comoving volume of $1.1 \times
10^3$ Mpc$^3$ at $z = 9.3$. We push to the limit the sources detection
which allows us to analyze an initial sample of roughly one hundred objects. We
detail the different criteria applied, including visual checks in different
photometric bands, for the candidate selection. Notwithstanding, none of the
objects resembled a reliable LAE and we did not find any robust candidate down
to an emission-line flux of $2.9 10^-16$ erg s$^-1$ cm$^-2$, which
corresponds to a Ly$\alpha$ luminosity limit of $3 10^44$ erg
s$^-1$. We derive an upper limit on the Ly$\alpha$ luminosity function at $z
9$ in good agreement with previous constraints. We conclude that deeper
and wider surveys are needed to study the LAE population at the cosmic dawn.
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