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

A. Apponi (INFN Sezione di Roma 3, Roma, Italy; Università di Roma Tre, Roma, Italy) ; M. G. Betti (INFN Sezione di Roma 1, Roma, Italy; Sapienza Università di Roma, Roma, Italy) ; M. Borghesi (INFN Sezione di Milano-Bicocca, Milan, Italy; Università di Milano-Bicocca, Milan, Italy) ; A. Boyarsky (Instituut-Lorentz, Universiteit Leiden, Leiden, The Netherlands) ; N. Canci (INFN Laboratori Nazionali del Gran Sasso, L’Aquila, Italy) ; et al. - Show all 60 authors

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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          "value": "Istituto Nanoscienze\u2013CNR, NEST\u2013Scuola Normale Superiore, Pisa, Italy"
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      ], 
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      "given_names": "V.", 
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    {
      "raw_name": "C.\u2009G. Tully", 
      "affiliations": [
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          "country": "USA", 
          "value": "Princeton University, Princeton, New Jersey 08544, USA"
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      "surname": "Tully", 
      "given_names": "C.\u2009G.", 
      "full_name": "Tully, C.\u2009G."
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    {
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          "value": "INFN Sezione di Pisa, Pisa, Italy"
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      ], 
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      "given_names": "M.", 
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    {
      "raw_name": "U. Zeitler", 
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        {
          "country": "Netherlands", 
          "value": "Radboud University, Nijmegen, The Netherlands"
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      ], 
      "surname": "Zeitler", 
      "given_names": "U.", 
      "full_name": "Zeitler, U."
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    {
      "raw_name": "F. Zhao", 
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        {
          "country": "USA", 
          "value": "Princeton University, Princeton, New Jersey 08544, USA"
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      ], 
      "surname": "Zhao", 
      "given_names": "F.", 
      "full_name": "Zhao, F."
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  ], 
  "titles": [
    {
      "source": "APS", 
      "title": "Heisenberg\u2019s uncertainty principle in the PTOLEMY project: A theory update"
    }
  ], 
  "dois": [
    {
      "value": "10.1103/PhysRevD.106.053002"
    }
  ], 
  "publication_info": [
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      "journal_volume": "106", 
      "journal_title": "Physical Review D", 
      "material": "article", 
      "journal_issue": "5", 
      "year": 2022
    }
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    "submission_number": "3503f5022e4411ed91f9a2b26b995c7b"
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  "page_nr": [
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      "url": "https://creativecommons.org/licenses/by/4.0/", 
      "license": "CC-BY-4.0"
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  "copyright": [
    {
      "statement": "Published by the American Physical Society", 
      "year": "2022"
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  "control_number": "72482", 
  "collaborations": [
    {
      "value": "PTOLEMY Collaboration"
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      "categories": [
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  "abstracts": [
    {
      "source": "APS", 
      "value": "We discuss the consequences of the quantum uncertainty on the spectrum of the electron emitted by the <math><mi>\u03b2</mi></math>-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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}
Published on:
06 September 2022
Publisher:
APS
Published in:
Physical Review D , Volume 106 (2022)
Issue 5
DOI:
https://doi.org/10.1103/PhysRevD.106.053002
arXiv:
2203.11228
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: