  The PHENIX Collaboration has measured the ratio of the yields of $\psi(2S)$
to $\psi(1S)$ mesons produced in $p$$+$$p$, $p$$+$Al, $p$$+$Au, and
$^{3}$He$+$Au collisions at $\sqrt{s_{_{NN}}}=200$ GeV over the forward and
backward rapidity intervals $1.2<|y|<2.2$. We find that the ratio in $p$$+$$p$
collisions is consistent with measurements at other collision energies. In
collisions with nuclei, we find that in the forward ($p$-going or
$^{3}$He-going) direction, the relative yield of $\psi(2S)$ mesons to
$\psi(1S)$ mesons is consistent with the value measured in \pp collisions.
However, in the backward (nucleus-going) direction, the $\psi(2S)$ is
preferentially suppressed by a factor of $\sim$2. This suppression is
attributed in some models to breakup of the weakly-bound $\psi(2S)$ through
final state interactions with comoving particles, which have a higher density
in the nucleus-going direction. These breakup effects may compete with color
screening in a deconfined quark-gluon plasma to produce sequential suppression
of excited quarkonia states.
