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We propose a high statistics experiment to search for invisible decay modesin nuclear gamma cascades. A radioactive source (such as $^{60}$Co or$^{24}$Na) that triggers gamma cascades is placed in the middle of a large,hermetically sealed scintillation detector, enabling photon identification withhigh accuracy. Invisible modes are identified by establishing the absence of aphoton in a well-identified gamma cascade. We propose the use of fastscintillators with nanosecond timing resolution, permitting event rates as highas $10^{7}$ Hz. Our analysis of the feasibility of this setup indicates thatbranching fractions as small as $10^{-12} - 10^{-14}$ can be probed. Thisexperimental protocol benefits from the fact that a search for invisible modesis penalized for weak coupling only in the production of the new particle. Ifsuccessfully implemented, this experiment is an exquisite probe of particleswith mass below $\sim$4 MeV that lie in the poorly constrained supernova"trapping window" that exists between 100 keV - 30 MeV. Such particles havebeen invoked as mediators between dark matter and nucleons, explain the protonradius and $(g-2)_{\mu}$ anomalies and potentially power the shock wave in typeII supernovae. The hadronic axion could also be probed with modifications tothe proposed setup.

The GAmmas from Nuclear Decays Hiding from Investigators (GANDHI) Experiment