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

(PTOLEMY Collaboration)

doi:10.1103/PhysRevD.106.053002

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

(PTOLEMY Collaboration)

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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)PRVDAQ2470-001010.1103/PhysRevD.104.116004], 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.

Original language	American English
Article number	053002
Journal	Physical Review D
Volume	106
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevD.106.053002
State	Published - 1 Sep 2022

Bibliographical note

Funding Information:
We are grateful to N. Arkani-Hamed, J. Maldacena, A. Pilloni and R. Rattazzi for important discussions. A. E. is a Roger Dashen Member at the Institute for Advanced Study, whose work is also supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics under Award No. DE-SC0009988. G. M. acknowledges the IT center of the University of Pisa, the High Performance Computing center (Franklin) of the Istituto Italiano di Tecnologia of Genova, and the allocation of computer resources from CINECA, through the ISCRA C Projects No. HP10C9JF51, No. HP10CI1LTC, No. HP10CY46PW, and No. HP10CMQ8ZK. G. M. also acknowledges support from the University of Pisa under the “PRA—Progetti di Ricerca di Ateneo” (Institutional Research Grants)—Project No. PRA 2020-2021 92. The research leading to these results has also received funding from the European Union’s Horizon 2020 research and innovation program under Grant Agreement No. 881603-Graphene Core3. T. F. acknowledges Fundaçao de Amparo à Pesquisa do Estado de Sao Paulo (FAPESP) Grants No. 2017/05660-0 and No. 2019/07767-1, and Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Grants No. 308486/2015-3 and No. 464898/2014-5 (INCT-FNA). Support and computational resources are also provided by EU under FETPROACT LESGO (Agreement No. 952068) and by the Italian University and Research Ministry, Ministero dell’Istruzione, dell’Università e della Ricerca under MONSTRE-2D PRIN2017 KFMJ8E. We received support from the Amaldi Research Center funded by the Ministero dell’Istruzione, dell’Università e della Ricerca program “Dipartimento di Eccellenza” (CUP:B81I18001170001). This work is further supported by the Italian Grant No. 2017W4HA7S “NAT-NET: Neutrino and Astroparticle Theory Network” (PRIN 2017) funded by the Italian Ministero dell’Istruzione, dell’Università e della Ricerca (MIUR).

Publisher Copyright:
© 2022 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

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10.1103/PhysRevD.106.053002

Cite this

@article{dd25e5337ab4492a9d6f1cb63992c738,

title = "Heisenberg's uncertainty principle in the PTOLEMY project: A theory update",

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)PRVDAQ2470-001010.1103/PhysRevD.104.116004], 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.",

author = "{(PTOLEMY Collaboration)} and A. Apponi and Betti, {M. G.} and M. Borghesi and A. Boyarsky and N. Canci and G. Cavoto and C. Chang and V. Cheianov and Y. Cheipesh and W. Chung and Cocco, {A. G.} and Colijn, {A. P.} and N. D'Ambrosio and {De Groot}, N. and A. Esposito and M. Faverzani and A. Ferella and E. Ferri and L. Ficcadenti and T. Frederico and S. Gariazzo and F. Gatti and C. Gentile and A. Giachero and Y. Hochberg and Y. Kahn and M. Lisanti and G. Mangano and Marcucci, {L. E.} and C. Mariani and M. Marques and G. Menichetti and M. Messina and O. Mikulenko and E. Monticone and A. Nucciotti and D. Orlandi and F. Pandolfi and S. Parlati and C. Pepe and {P{\'e}rez De Los Heros}, C. and O. Pisanti and M. Polini and Polosa, {A. D.} and A. Puiu and I. Rago and Y. Raitses and M. Rajteri and N. Rossi and K. Rozwadowska",

note = "Funding Information: We are grateful to N. Arkani-Hamed, J. Maldacena, A. Pilloni and R. Rattazzi for important discussions. A. E. is a Roger Dashen Member at the Institute for Advanced Study, whose work is also supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics under Award No. DE-SC0009988. G. M. acknowledges the IT center of the University of Pisa, the High Performance Computing center (Franklin) of the Istituto Italiano di Tecnologia of Genova, and the allocation of computer resources from CINECA, through the ISCRA C Projects No. HP10C9JF51, No. HP10CI1LTC, No. HP10CY46PW, and No. HP10CMQ8ZK. G. M. also acknowledges support from the University of Pisa under the “PRA—Progetti di Ricerca di Ateneo” (Institutional Research Grants)—Project No. PRA 2020-2021 92. The research leading to these results has also received funding from the European Union{\textquoteright}s Horizon 2020 research and innovation program under Grant Agreement No. 881603-Graphene Core3. T. F. acknowledges Funda{\c c}ao de Amparo {\`a} Pesquisa do Estado de Sao Paulo (FAPESP) Grants No. 2017/05660-0 and No. 2019/07767-1, and Conselho Nacional de Desenvolvimento Cient{\'i}fico e Tecnol{\'o}gico (CNPq) Grants No. 308486/2015-3 and No. 464898/2014-5 (INCT-FNA). Support and computational resources are also provided by EU under FETPROACT LESGO (Agreement No. 952068) and by the Italian University and Research Ministry, Ministero dell{\textquoteright}Istruzione, dell{\textquoteright}Universit{\`a} e della Ricerca under MONSTRE-2D PRIN2017 KFMJ8E. We received support from the Amaldi Research Center funded by the Ministero dell{\textquoteright}Istruzione, dell{\textquoteright}Universit{\`a} e della Ricerca program “Dipartimento di Eccellenza” (CUP:B81I18001170001). This work is further supported by the Italian Grant No. 2017W4HA7S “NAT-NET: Neutrino and Astroparticle Theory Network” (PRIN 2017) funded by the Italian Ministero dell{\textquoteright}Istruzione, dell{\textquoteright}Universit{\`a} e della Ricerca (MIUR). Publisher Copyright: {\textcopyright} 2022 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the {"}https://creativecommons.org/licenses/by/4.0/{"}Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.",

year = "2022",

month = sep,

day = "1",

doi = "10.1103/PhysRevD.106.053002",

language = "American English",

volume = "106",

journal = "Physical Review D",

issn = "2470-0010",

publisher = "American Physical Society",

number = "5",

}

TY - JOUR

T1 - Heisenberg's uncertainty principle in the PTOLEMY project

T2 - A theory update

AU - (PTOLEMY Collaboration)

AU - Apponi, A.

AU - Betti, M. G.

AU - Borghesi, M.

AU - Boyarsky, A.

AU - Canci, N.

AU - Cavoto, G.

AU - Chang, C.

AU - Cheianov, V.

AU - Cheipesh, Y.

AU - Chung, W.

AU - Cocco, A. G.

AU - Colijn, A. P.

AU - D'Ambrosio, N.

AU - De Groot, N.

AU - Esposito, A.

AU - Faverzani, M.

AU - Ferella, A.

AU - Ferri, E.

AU - Ficcadenti, L.

AU - Frederico, T.

AU - Gariazzo, S.

AU - Gatti, F.

AU - Gentile, C.

AU - Giachero, A.

AU - Hochberg, Y.

AU - Kahn, Y.

AU - Lisanti, M.

AU - Mangano, G.

AU - Marcucci, L. E.

AU - Mariani, C.

AU - Marques, M.

AU - Menichetti, G.

AU - Messina, M.

AU - Mikulenko, O.

AU - Monticone, E.

AU - Nucciotti, A.

AU - Orlandi, D.

AU - Pandolfi, F.

AU - Parlati, S.

AU - Pepe, C.

AU - Pérez De Los Heros, C.

AU - Pisanti, O.

AU - Polini, M.

AU - Polosa, A. D.

AU - Puiu, A.

AU - Rago, I.

AU - Raitses, Y.

AU - Rajteri, M.

AU - Rossi, N.

AU - Rozwadowska, K.

N1 - Funding Information: We are grateful to N. Arkani-Hamed, J. Maldacena, A. Pilloni and R. Rattazzi for important discussions. A. E. is a Roger Dashen Member at the Institute for Advanced Study, whose work is also supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics under Award No. DE-SC0009988. G. M. acknowledges the IT center of the University of Pisa, the High Performance Computing center (Franklin) of the Istituto Italiano di Tecnologia of Genova, and the allocation of computer resources from CINECA, through the ISCRA C Projects No. HP10C9JF51, No. HP10CI1LTC, No. HP10CY46PW, and No. HP10CMQ8ZK. G. M. also acknowledges support from the University of Pisa under the “PRA—Progetti di Ricerca di Ateneo” (Institutional Research Grants)—Project No. PRA 2020-2021 92. The research leading to these results has also received funding from the European Union’s Horizon 2020 research and innovation program under Grant Agreement No. 881603-Graphene Core3. T. F. acknowledges Fundaçao de Amparo à Pesquisa do Estado de Sao Paulo (FAPESP) Grants No. 2017/05660-0 and No. 2019/07767-1, and Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Grants No. 308486/2015-3 and No. 464898/2014-5 (INCT-FNA). Support and computational resources are also provided by EU under FETPROACT LESGO (Agreement No. 952068) and by the Italian University and Research Ministry, Ministero dell’Istruzione, dell’Università e della Ricerca under MONSTRE-2D PRIN2017 KFMJ8E. We received support from the Amaldi Research Center funded by the Ministero dell’Istruzione, dell’Università e della Ricerca program “Dipartimento di Eccellenza” (CUP:B81I18001170001). This work is further supported by the Italian Grant No. 2017W4HA7S “NAT-NET: Neutrino and Astroparticle Theory Network” (PRIN 2017) funded by the Italian Ministero dell’Istruzione, dell’Università e della Ricerca (MIUR). Publisher Copyright: © 2022 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

PY - 2022/9/1

Y1 - 2022/9/1

N2 - 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)PRVDAQ2470-001010.1103/PhysRevD.104.116004], 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.

AB - 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)PRVDAQ2470-001010.1103/PhysRevD.104.116004], 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.

UR - http://www.scopus.com/inward/record.url?scp=85138284066&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.106.053002

DO - 10.1103/PhysRevD.106.053002

M3 - Article

AN - SCOPUS:85138284066

SN - 2470-0010

VL - 106

JO - Physical Review D

JF - Physical Review D

IS - 5

M1 - 053002

ER -

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

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