Tritium Atomic Cross Sections

In this study, I present an in-depth analysis of atomic tritium cross sections, focusing on their application in Project 8, an experiment that leverages tritium beta decay to measure electron energy and infer neutrino mass. To design the magnetic cooling beamline for atomic tritium, a precise understanding of the atomic and nuclear properties of T-T collisions is essential. Specifically, I analyze the coupling between the single and triplet states to minimize trap loss rates. I calculate the energy-dependent cross sections of said collisions using a phase shift approach applied to a well-defined energy and angular momenta dependent definition for a Bose particle cross section. I then derive both the total cross section and all partial wave contributions. This talk will present the status of this new set of atomic T-T cross section calculations being developed for Project 8.