  The future electron-proton collider proposals, LHeC and FCC-he, can deliver
$\mathcal{O}$(TeV) center-of-mass energy collisions, higher than most of the
proposed lepton accelerators, with $\mathcal{O}$(ab$^{-1}$) luminosity, while
maintaining a much cleaner experimental environment as compared to the hadron
machines. This unique capability of $e^- p$ colliders can be harnessed in
probing BSM scenarios giving final states that look like hadronic noise at $pp$
machines. In the present study, we explore the prospects of detecting such a
prompt signal having multiple soft jets at the LHeC. Such a signal can come
from the decay of gluino in RPV or Stealth SUSY, where there exists a gap in
the current experimental search with $m_{\tilde{g}} \approx 50 - 70$ GeV. We
perform a simple analysis to demonstrate that, with simple signal selection
cuts, we can close this gap at the LHeC at 95 % confidence level, even in the
presence of a reasonable systematic error. More sophisticated signal selection
strategies and detailed knowledge of the detector can be used to improve the
prospects of signal detection.
