{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/17005"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/17005","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"A part-per-million measurement of the positive muon lifetime and a determination of the Fermi constant","abstract":"The mean life of the positive muon has been measured to part-per-million precision using a time-structured beam, a ferromagnetic target, and a fast, multi-segmented and symmetric scintillator detection array. The result, based on data acquired in 2006, is $\\tau_{\\mu^+} = \\unit[2196980.1 \\pm 2.6 \\pm 1.9]{ps},$ where the first uncertainty is statistical and the second is systematic. When combined with the measurement based on our 2007 dataset, the average is $\\tau_{\\mu^+}^{\\rm avg} = \\unit[2196980.3 \\pm 2.8]{ps}$ and the derived value for the Fermi constant is $G_F = \\unit[1.1663818 (8) \\times 10^{-5}]{GeV^{-2}}$. This thesis describes the motivation for the measurement, the experimental technique, the data analysis, and the systematic uncertainties for the 2006 dataset.","abstract_html":"The mean life of the positive muon has been measured to part-per-million precision using a time-structured beam, a ferromagnetic target, and a fast, multi-segmented and symmetric scintillator detection array. The result, based on data acquired in 2006, is <span class=\"etd-inline-math\">\\tau<sub>&mu;<sup>+</sup></sub> = \\unit[2196980.1 \\pm 2.6 \\pm 1.9]{ps},</span> where the first uncertainty is statistical and the second is systematic. When combined with the measurement based on our 2007 dataset, the average is <span class=\"etd-inline-math\">\\tau<sub>&mu;<sup>+</sup></sub><sup>\\rm avg</sup> = \\unit[2196980.3 \\pm 2.8]{ps}</span> and the derived value for the Fermi constant is <span class=\"etd-inline-math\">G<sub>F</sub> = \\unit[1.1663818 (8) \\times 10<sup>-5</sup>]{GeV<sup>-2</sup>}</span>. This thesis describes the motivation for the measurement, the experimental technique, the data analysis, and the systematic uncertainties for the 2006 dataset.","abstract_has_math":true,"creators":["Webber, David M."],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Hertzog, David W.","Nathan, Alan M.","El-Khadra, Aida X.","Kwiat, Paul G."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2010,"date_issued":"2010-08-31T20:03:56Z","date_published":"2010-08-31T20:03:56Z","updated_at":"2026-07-22T22:25:09Z","subjects":["Fermi constant","MuLan collaboration","positive muon","muon lifetime","precision measurement"],"languages":["en"],"rights":["Copyright 2010 David M. Webber"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/17005","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Hertzog, David W.","Nathan, Alan M.","El-Khadra, Aida X.","Kwiat, Paul G."]},{"key":"dc:creator","label":"Author","values":["Webber, David M."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2010-08-31T20:03:56Z","2012-09-07T16:43:35Z","2010-08"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Fermi constant","MuLan collaboration","positive muon","muon lifetime","precision measurement"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2010 David M. 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The result, based on data acquired in 2006, is $\\tau_{\\mu^+} = \\unit[2196980.1 \\pm 2.6 \\pm 1.9]{ps},$ where the first uncertainty is statistical and the second is systematic. When combined with the measurement based on our 2007 dataset, the average is $\\tau_{\\mu^+}^{\\rm avg} = \\unit[2196980.3 \\pm 2.8]{ps}$ and the derived value for the Fermi constant is $G_F = \\unit[1.1663818 (8) \\times 10^{-5}]{GeV^{-2}}$. This thesis describes the motivation for the measurement, the experimental technique, the data analysis, and the systematic uncertainties for the 2006 dataset.","Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2010-05-24T18:11:18Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 Webber_David.tar.bz2: 21664369 bytes, checksum: d32fe04b99bc2350042b0bbe22f82724 (MD5) Webber_David.pdf: 8994271 bytes, checksum: 2a89e1baa2ac74045f6d4e1dce6e435e (MD5)","Made available in DSpace on 2010-08-31T20:03:56Z (GMT). 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Webber"],"dc:subject":["Fermi constant","MuLan collaboration","positive muon","muon lifetime","precision measurement"],"dc:title":["A part-per-million measurement of the positive muon lifetime and a determination of the Fermi constant"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:09Z"}