Exploring neutron channel solutions at CERN/n_TOF for the Cosmological Lithium Problem

New measurements of the $^7$Be$(n, \alpha)$ $^4$He and $^7$Be$(n, p)$ $^7$Li reaction cross sections from thermal to keV neutron energies have been performed at CERN/n TOF. High purity $^7$Be material was produced at the Paul Scherrer Institute (PSI) and implanted at CERN/ISOLDE, demonstrating the feasibility of neutron measurements on samples produced at radioactive beam facilities. The cross sections are significantly higher than previously determined, at low energies. The new estimate of the $^7$Be destruction rate based on these new results yields a decrease of the predicted cosmological $^7$Li abundance, insufficient to provide a viable solution to the Cosmological Lithium Problem (CLiP). The two n TOF measurements can finally rule out neutron-induced reactions as a potential explanation of the CLiP, leaving all alternative physics and astronomical scenarios still open.