  We consider a superconductor-barrier-superconductor configuration built with
Rarita-Schwinger-Weyl semimetal, which features four bands crossing at a single
nodal point. Assuming a homogeneous s-wave pairing in each superconducting
region, and the barrier region created by applying a voltage of magnitude $V_0
$ across a piece of normal state semimetal, we apply the BdG formalism to
compute the discrete energy spectrum $\varepsilon $ of the subgap Andreev bound
states in the short-barrier regime. In contrast with the two-band semimetals
studied earlier, we find upto four pairs of localized states (rather than one
pair for two-band semimetals) in the thin-barrier limit, and each value of
$\varepsilon $ has a complicated dependence on the phase difference
$\varphi_{12} $ via cosine and sine functions, which cannot be determined
analytically. These are artifacts of multi-band nodes hosting quasiparticles of
pseudospin values greater than $1/2$. Using the bound state energies, we
compute the Josephson current across the junction configuration.
