  Quaoar is a classical Trans-Neptunian Object (TNO) with an area equivalent
diameter of 1,100 km and an orbital semi-major axis of 43.3 astronomical units.
Based on stellar occultations observed between 2018 and 2021, an inhomogeneous
ring (Q1R, Quaoar's first ring) was detected around this body. Aims. A new
stellar occultation by Quaoar was observed on August 9th, 2022 aiming to
improve Quaoar's shape models and the physical parameters of Q1R while
searching for additional material around the body. Methods. The occultation
provided nine effective chords across Quaoar, pinning down its size, shape, and
astrometric position. Large facilities, such as Gemini North and the
Canada-France-Hawaii Telescope (CFHT), were used to obtain high acquisition
rates and signal-to-noise ratios. The light curves were also used to
characterize the Q1R ring (radial profiles and orbital elements). Results.
Quaoar's elliptical fit to the occultation chords yields the limb with an
apparent semi-major axis of $579.5\pm4.0$ km, apparent oblateness of
$0.12\pm0.01$, and area-equivalent radius of $543\pm2$ km. Quaoar's limb
orientation is consistent with Q1R and Weywot orbiting in Quaoar's equatorial
plane. The orbital radius of Q1R is refined to a value of $4,057\pm6$ km. The
radial opacity profile of the more opaque ring profile follows a Lorentzian
shape that extends over 60 km, with a full width at half maximum (FWHM) of
$\sim5$ km and a peak normal optical depth of 0.4. Besides the secondary events
related to the already reported rings, new secondary events detected during the
August 2022 occultation in three different data sets are consistent with
another ring around Quaoar with a radius of $2,520\pm20$ km, assuming the ring
is circular and co-planar with Q1R. This new ring has a typical width of 10 km
and a normal optical depth of $\sim$0.004. Like Q1R, it also lies outside
Quaoar's classical Roche limit.
