Archivio Istituzionale della RicercaWe discuss the consequences of the quantum uncertainty on the spectrum of the electron emitted by the β-processes of a tritium atom bound to a graphene sheet. We analyze quantitatively the issue recently raised by Cheipesh, Cheianov, and Boyarsky [Phys. Rev. D 104, 116004 (2021)], and discuss the relevant timescales and the degrees of freedom that can contribute to the intrinsic spread in the electron energy. We perform careful calculations of the potential between tritium and graphene with different coverages and geometries. With this at hand, we propose possible avenues to mitigate the effect of the quantum uncertainty.
Heisenberg’s uncertainty principle in the PTOLEMY project: A theory update / Apponi, A.; Betti, M. G.; Borghesi, M.; Boyarsky, A.; Canci, N.; Cavoto, G.; Chang, C.; Cheianov, V.; Cheipesh, Y.; Chung, W.; Cocco, A. G.; Colijn, A. P.; D’Ambrosio, N.; de Groot, N.; Esposito, A.; Faverzani, M.; Ferella, A.; Ferri, E.; Ficcadenti, L.; Frederico, T.; Gariazzo, S.; Gatti, F.; Gentile, C.; Giachero, A.; Hochberg, Y.; Kahn, Y.; Lisanti, M.; Mangano, G.; Marcucci, L. E.; Mariani, C.; Marques, M.; Menichetti, G.; Messina, M.; Mikulenko, O.; Monticone, E.; Nucciotti, A.; Orlandi, D.; Pandolfi, F.; Parlati, S.; Pepe, C.; Pérez de los Heros, C.; Pisanti, O.; Polini, M.; Polosa, A. D.; Puiu, A.; Rago, I.; Raitses, Y.; Rajteri, M.; Rossi, N.; Rozwadowska, K.; Rucandio, I.; Ruocco, A.; Strid, C. F.; Tan, A.; Teles, L. K.; Tozzini, V.; Tully, C. G.; Viviani, M.; Zeitler, U.; Zhao, F.. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - STAMPA. - 106:5(2022), p. 053002.
Heisenberg’s uncertainty principle in the PTOLEMY project: A theory update
C. Pepe;
2022
Abstract
We discuss the consequences of the quantum uncertainty on the spectrum of the electron emitted by the β-processes of a tritium atom bound to a graphene sheet. We analyze quantitatively the issue recently raised by Cheipesh, Cheianov, and Boyarsky [Phys. Rev. D 104, 116004 (2021)], and discuss the relevant timescales and the degrees of freedom that can contribute to the intrinsic spread in the electron energy. We perform careful calculations of the potential between tritium and graphene with different coverages and geometries. With this at hand, we propose possible avenues to mitigate the effect of the quantum uncertainty.
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https://hdl.handle.net/11583/2976148