  Inspired by the 750 GeV diphoton state recently reported by ATLAS and CMS, we
propose a U(1)_{B-L} extension of the MSSM which predicts the existence of four
spin zero resonance states that are degenerate in mass in the supersymmetric
limit. Vector-like fields, a gauge singlet field, as well as the MSSM Higgsinos
are prevented from acquiring arbitrary large masses by a U(1) R-symmetry.
Indeed, these masses can be considerably lighter than the Z' gauge boson mass.
Depending on kinematics the resonance states could decay into right handed
neutrinos and sneutrinos, and/or MSSM Higgs fields and Higgsinos with total
decay widths in the multi-GeV range.
