Published September 6, 2022 | Version v1
Journal article Open

Heisenberg's uncertainty principle in the PTOLEMY project: A theory update

  • 1. INFN Sezione di Roma
  • 2. INFN Sezione di Milano-Bicocca
  • 3. Universiteit Leiden
  • 4. INFN Laboratori Nazionali del Gran Sasso
  • 5. University of Chicago
  • 6. Princeton University
  • 7. INFN Sezione Di Napoli
  • 8. University of Amsterdam
  • 9. Argonne National Laboratory
  • 10. Radboud University
  • 11. Institute for Advanced Study
  • 12. Instituto TecnolĂłgico de Aeronáutica

Description

We 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.

Notes

Due 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.

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Additional details

Identifiers

DOI
10.1103/PhysRevD.106.053002
Other
oai:uchicago.tind.io:13268

Funding

U.S. Department of Energy
DE-SC0009988
University of Pisa
PRA—Progetti di Ricerca di Ateneo
European Union
Horizon 2020 research and innovation program
Fundaçao de Amparo à Pesquisa do Estado de Sao Paulo
2017/05660-0
Fundaçao de Amparo à Pesquisa do Estado de Sao Paulo
2019/07767-1
Conselho Nacional de Desenvolvimento CientĂ­fico e TecnolĂłgico
308486/2015-3
Conselho Nacional de Desenvolvimento CientĂ­fico e TecnolĂłgico
464898/2014-5
FETPROACT LESGO
952068
Italian University and Research Ministry, Ministero dell'Istruzione, dell'UniversitĂ  e della Ricerca
MONSTRE-2D PRIN2017 KFMJ8E
Ministero dell'Istruzione, dell'UniversitĂ  e della Ricerca
Dipartimento di Eccellenza
Italian Ministero dell'Istruzione, dell'UniversitĂ  e della Ricerca
“NAT-NET: Neutrino and Astroparticle Theory Network”

UChicago Information

Division(s)
Physical Sciences Division
Center(s) or Institute(s)
Kavli Institute for Cosmological Physics