The study of hyperon decays at the Beijing Electron Spectrometer III (BESIII)
is proposed to investigate the events of $J/\psi$ decay into hyperon pairs,
which provide a pristine experimental environment at the Beijing
Electron--Positron Collider II. About $10^{6}$--$10^8$ hyperons, i.e.,
$\Lambda$, $\Sigma$, $\Xi$, and $\Omega$, will be produced in the $J/\psi$ and
$\psi(2S)$ decays with the proposed data samples at BESIII. Based on these
samples, the measurement sensitivity of the branching fractions of the hyperon
decays is in the range of $10^{-5}$--$10^{-8}$. In addition, with the known
center-of-mass energy and "tag technique," rare decays and decays with
invisible final states can be probed.Comment: 8 pages, 8 tables, add more references and corrections; many typos
fixe