  Direct detection of relic neutrinos in a beta-decay experiment is an
ambitious goal that has long been beyond the reach of available technology. One
of the most challenging practical difficulties for such an experiment is
managing a large amount of radioactive material without compromising the energy
resolution required to distinguish useful events from the substantial
beta-decay background. The PTOLEMY project offers an innovative solution to
this problem by depositing radioactive material on graphene. While this
approach is expected to address the main challenge, it introduces new issues
due to the proximity of the beta decayers to a solid-state system. In this
work, we focus on the effect of the shakeup of the graphene electron system
caused by a beta-decay event. We calculate the distortion of the relic neutrino
peaks resulting from this shakeup, analyze the impact of the distortion on the
visibility of neutrino capture events, and discuss potential technological
solutions to enhance the visibility of these events.
