000013268 001__ 13268 000013268 005__ 20240823113742.0 000013268 02470 $$ahttps://doi.org/10.1103/PhysRevD.106.053002$$2doi 000013268 037__ $$aTEXTUAL 000013268 037__ $$bArticle 000013268 041__ $$aeng 000013268 245__ $$aHeisenberg’s uncertainty principle in the PTOLEMY project: A theory update 000013268 269__ $$a2022-09-06 000013268 336__ $$aArticle 000013268 520__ $$aWe discuss the consequences of the quantum uncertainty on the spectrum of the electron emitted by the đť›˝-processes of a tritium atom bound to a graphene sheet. We analyze quantitatively the issue recently raised by Cheipesh, Cheianov, and Boyarsky [Phys. Rev. D 104, 116004 (2021)], and discuss the relevant timescales and the degrees of freedom that can contribute to the intrinsic spread in the electron energy. We perform careful calculations of the potential between tritium and graphene with different coverages and geometries. With this at hand, we propose possible avenues to mitigate the effect of the quantum uncertainty. 000013268 536__ $$oU.S. Department of Energy$$cDE-SC0009988 000013268 536__ $$oUniversity of Pisa$$cPRA 2020-2021 92$$aPRA—Progetti di Ricerca di Ateneo 000013268 536__ $$oEuropean Union$$c881603-Graphene Core3$$aHorizon 2020 research and innovation program 000013268 536__ $$oFundaçao de Amparo Ă Pesquisa do Estado de Sao Paulo$$c2017/05660-0 000013268 536__ $$oFundaçao de Amparo Ă Pesquisa do Estado de Sao Paulo$$c2019/07767-1 000013268 536__ $$oConselho Nacional de Desenvolvimento CientĂfico e TecnolĂłgico$$c308486/2015-3 000013268 536__ $$oConselho Nacional de Desenvolvimento CientĂfico e TecnolĂłgico$$c464898/2014-5 000013268 536__ $$oFETPROACT LESGO$$c952068 000013268 536__ $$oItalian University and Research Ministry, Ministero dell’Istruzione, dell’UniversitĂ e della Ricerca$$cMONSTRE-2D PRIN2017 KFMJ8E 000013268 536__ $$oMinistero dell’Istruzione, dell’UniversitĂ e della Ricerca$$cCUP:B81I18001170001$$aDipartimento di Eccellenza 000013268 536__ $$oItalian Ministero dell’Istruzione, dell’UniversitĂ e della Ricerca$$c2017W4HA7S$$a“NAT-NET: Neutrino and Astroparticle Theory Network” 000013268 540__ $$a<p>Published by the American Physical Society under the terms of the <a href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International</a> license.</p> 000013268 542__ $$fCC BY 000013268 593__ $$aDue to the large number of authors, only the first 20 and the University of Chicago authors are included on the above author list. Please download the article for the complete list of authors. 000013268 690__ $$aPhysical Sciences Division 000013268 692__ $$aKavli Institute for Cosmological Physics 000013268 7001_ $$aApponi, A.$$uINFN Sezione di Roma 000013268 7001_ $$aBetti, M. G.$$uINFN Sezione di Roma 000013268 7001_ $$aBorghesi, M.$$uINFN Sezione di Milano-Bicocca 000013268 7001_ $$aBoyarsky, A.$$uUniversiteit Leiden 000013268 7001_ $$aCanci, N.$$uINFN Laboratori Nazionali del Gran Sasso 000013268 7001_ $$aCavoto, G.$$uINFN Sezione di Roma 000013268 7001_ $$aChang, C.$$uUniversity of Chicago 000013268 7001_ $$aCheianov, V.$$uUniversiteit Leiden 000013268 7001_ $$aCheipesh, Y.$$uUniversiteit Leiden 000013268 7001_ $$aChung, W.$$uPrinceton University 000013268 7001_ $$aCocco, A. G.$$uINFN Sezione Di Napoli 000013268 7001_ $$aColijn, A. P.$$uUniversity of Amsterdam 000013268 7001_ $$aD'Ambrosio, N.$$uArgonne National Laboratory 000013268 7001_ $$ade Groot, N.$$uRadboud University 000013268 7001_ $$1https://orcid.org/0000-0002-4318-1003$$2ORCID$$aEsposito, A.$$uInstitute for Advanced Study 000013268 7001_ $$aFaverzani, M.$$uINFN Sezione di Milano-Bicocca 000013268 7001_ $$aFerella, A.$$uINFN Laboratori Nazionali del Gran Sasso 000013268 7001_ $$aFerri, E.$$uINFN Sezione di Milano-Bicocca 000013268 7001_ $$aFiccadenti, L.$$uINFN Sezione di Roma 000013268 7001_ $$aFrederico, T.$$uInstituto TecnolĂłgico de Aeronáutica 000013268 7001_ $$aKahn, Y.$$uUniversity of Chicago 000013268 773__ $$tPhysical Review D 000013268 8564_ $$9ceae5f44-0a91-47c2-bc0b-1304801e3bce$$ePublic$$s937499$$uhttps://knowledge.uchicago.edu/record/13268/files/PhysRevD.106.053002.pdf 000013268 908__ $$aI agree 000013268 909CO $$ooai:uchicago.tind.io:13268$$pGLOBAL_SET 000013268 983__ $$aArticle