A Design for an Electromagnetic Filter for Precision Energy Measurements at the Tritium Endpoint
Abstract
We present a detailed description of the electromagnetic filter for the PTOLEMY project to directly detect the Cosmic Neutrino Background (CNB). Starting with an initial estimate for the orbital magnetic moment, the higher-order drift process of ExB is configured to balance the gradient-B drift motion of the electron in such a way as to guide the trajectory into the standing voltage potential along the mid-plane of the filter. As a function of drift distance along the length of the filter, the filter zooms in with exponentially increasing precision on the transverse velocity component of the electron kinetic energy. This yields a linear dimension for the total filter length that is exceptionally compact compared to previous techniques for electromagnetic filtering. The parallel velocity component of the electron kinetic energy oscillates in an electrostatic harmonic trap as the electron drifts along the length of the filter. An analysis of the phase-space volume conservation validates the expected behavior of the filter from the adiabatic invariance of the orbital magnetic moment and energy conservation following Liouville's theorem for Hamiltonian systems.
Keywords
Cite
@article{arxiv.1810.06703,
title = {A Design for an Electromagnetic Filter for Precision Energy Measurements at the Tritium Endpoint},
author = {M. G. Betti and M. Biasotti and A. Bosca and F. Calle and J. Carabe-Lopez and G. Cavoto and C. Chang and W. Chung and A. G. Cocco and A. P. Colijn and J. Conrad and N. D'Ambrosio and P. F. de Salas and M. Faverzani and A. Ferella and E. Ferri and P. Garcia-Abia and G. Garcia Gomez-Tejedor and S. Gariazzo and F. Gatti and C. Gentile and A. Giachero and J. Gudmundsson and Y. Hochberg and Y. Kahn and M. Lisanti and C. Mancini-Terracciano and G. Mangano and L. E. Marcucci and C. Mariani and J. Martinez and M. Messina and A. Molinero-Vela and E. Monticone and A. Nucciotti and F. Pandolfi and S. Pastor and J. Pedros and C. Perez de los Heros and O. Pisanti and A. Polosa and A. Puiu and Y. Raitses and M. Rajteri and N. Rossi and R. Santorelli and K. Schaeffner and C. F. Strid and C. G. Tully and F. Zhao and K. M. Zurek},
journal= {arXiv preprint arXiv:1810.06703},
year = {2019}
}