{"id":6296,"date":"2021-08-23T12:39:28","date_gmt":"2021-08-23T19:39:28","guid":{"rendered":"http:\/\/physikon.net\/?page_id=6296"},"modified":"2025-01-10T20:31:40","modified_gmt":"2025-01-11T04:31:40","slug":"potential-beam-facilities","status":"publish","type":"page","link":"http:\/\/physikon.net\/?page_id=6296","title":{"rendered":"Particle beams"},"content":{"rendered":"<hr \/>\n<p><span style=\"font-size: 16pt;\">Ultra-Low Energy Muon Source, \u03bcSOL<\/span><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-7750 alignright\" src=\"http:\/\/physikon.net\/wp-content\/uploads\/slowmu-570x1024.jpg\" alt=\"\" width=\"257\" height=\"462\" srcset=\"http:\/\/physikon.net\/wp-content\/uploads\/slowmu-570x1024.jpg 570w, http:\/\/physikon.net\/wp-content\/uploads\/slowmu-167x300.jpg 167w, http:\/\/physikon.net\/wp-content\/uploads\/slowmu-84x150.jpg 84w, http:\/\/physikon.net\/wp-content\/uploads\/slowmu.jpg 608w\" sizes=\"auto, (max-width: 257px) 100vw, 257px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Band-gap moderated slow positive muon beams \u2013 <\/strong>While positive muons (\u03bc<sup>+<\/sup>) typically behave as light protons, they can also act like heavy positrons (e<sup>+<\/sup>). Bearing this in mind, Dr. Harshman and coworkers, considering results detailing e<sup>+<\/sup> moderation in large band-gap solids, proposed the possibility of similar behavior for positive muons. The mechanism relies on energy loss per unit length (dE\/dx), which decreases as the stopping particle energy falls below the band-gap energy of the moderating solid, resulting in a moderated particle beam of a few eV. Since the only relevant difference between muons and electrons in this context is mass, such a mechanism was deemed applicable for producing a slow \u03bc<sup>+<\/sup> beam. Conducted at the TRIUMF facility in Vancouver, B.C., Canada, this research resulted in the discovery of the first practical technique for producing a low-energy (&lt;10 eV) positive muon beam. It was christened with the acronym \u03bcSOL (i.e., muon separator online). The figure to the right shows the time-of-flight spectra for low-energy \u03bc<sup>+<\/sup> from the surface of (a) LiF, (b) SiO<sub>2<\/sub>, and (c) Cu. The data are normalized to 10 incident \u03bc<sup>+<\/sup>, and the errors shown are statistical.\u00a0[<a href=\"https:\/\/doi.org\/10.1103\/PhysRevLett.56.2850\">Physical Review Letters <strong>56<\/strong>, 2850 (1986)<\/a>].<\/p>\n<p style=\"text-align: justify;\">The same 1986 paper reported the first observation of (&lt;10 eV) negative muonium (i.e., Mu<sup>\u2013<\/sup> or \u03bc<sup>+<\/sup>e<sup>\u2013<\/sup>e<sup>\u2013<\/sup>) ions in vacuum. This was accomplished by again using a Cu moderator, and reversing the polarity of the spectrometer to focus and transport the Mu<sup>\u2013<\/sup> ions.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-7751 alignleft\" src=\"http:\/\/physikon.net\/wp-content\/uploads\/slowmu2.jpg\" alt=\"\" width=\"317\" height=\"395\" srcset=\"http:\/\/physikon.net\/wp-content\/uploads\/slowmu2.jpg 712w, http:\/\/physikon.net\/wp-content\/uploads\/slowmu2-241x300.jpg 241w, http:\/\/physikon.net\/wp-content\/uploads\/slowmu2-120x150.jpg 120w\" sizes=\"auto, (max-width: 317px) 100vw, 317px\" \/>In 1987, the slow muon production rate was increased by a factor of ~100 using solid rare-gas moderators, producing a usable flux of slow positive muons. This was accomplished with the same spectrometer as employed in the 1986 paper, incorporating a specially-designed <sup>4<\/sup>He cryogenic target. The figure to the left shows the slow \u03bc<sup>+<\/sup> emission from solid (a) Argon and (b) Krypton at two different acceleration grid biases [<a href=\"https:\/\/doi.org\/10.1103\/PhysRevB.36.8850\">Physical Review B <strong>36<\/strong>, 8850 (1987)<\/a>].<\/p>\n<p style=\"text-align: justify;\">The development of the band-gap moderated slow \u03bc<sup>+<\/sup> beam is documented in <a href=\"https:\/\/www.discovermagazine.com\/the-sciences\/the-cinderella-particle\">Discover Magazine<\/a> and <a href=\"https:\/\/en.wikipedia.org\/wiki\/Muon_spin_spectroscopy#Energy_classes_of_muon_beams\">Wikipedia<\/a>.<\/p>\n<p style=\"text-align: justify;\">Below is a slideshow of the slow muon spectrometer as configured in 1986 for non-cryogenic moderators, mounted on the TRIUMF M20 surface muon channel.<\/p>\n<hr \/>\n<div id=\"metaslider-id-3870\" style=\"max-width: 600px; margin: 0 auto;\" class=\"ml-slider-3-108-0 metaslider metaslider-flex metaslider-3870 ml-slider ms-theme-default nav-hidden\" role=\"region\" aria-label=\"muSOL\" data-height=\"400\" data-width=\"600\">\n    <div id=\"metaslider_container_3870\">\n        <div id=\"metaslider_3870\">\n            <ul class='slides'>\n                <li style=\"display: block; width: 100%;\" class=\"slide-3871 ms-image \" aria-roledescription=\"slide\" data-date=\"2017-03-17 19:23:27\" data-filename=\"slowmuon_4_5x3.5-500x333.png\" data-slide-type=\"image\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/physikon.net\/wp-content\/uploads\/2015\/09\/slowmuon_4_5x3.5-500x333.png\" height=\"400\" width=\"600\" alt=\"\" class=\"slider-3870 slide-3871 msDefaultImage\" \/><\/li>\n                <li style=\"display: none; width: 100%;\" class=\"slide-3872 ms-image \" aria-roledescription=\"slide\" data-date=\"2017-03-17 19:23:33\" data-filename=\"slowmuon_3_5x3.5-500x333.png\" data-slide-type=\"image\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/physikon.net\/wp-content\/uploads\/2015\/09\/slowmuon_3_5x3.5-500x333.png\" height=\"400\" width=\"600\" alt=\"\" class=\"slider-3870 slide-3872 msDefaultImage\" \/><\/li>\n                <li style=\"display: none; width: 100%;\" class=\"slide-3873 ms-image \" aria-roledescription=\"slide\" data-date=\"2017-03-17 19:23:41\" data-filename=\"slowmuon_2_5x3.5-500x333.png\" data-slide-type=\"image\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/physikon.net\/wp-content\/uploads\/2015\/09\/slowmuon_2_5x3.5-500x333.png\" height=\"400\" width=\"600\" alt=\"\" class=\"slider-3870 slide-3873 msDefaultImage\" \/><\/li>\n                <li style=\"display: none; width: 100%;\" class=\"slide-3874 ms-image \" aria-roledescription=\"slide\" data-date=\"2017-03-17 19:23:51\" data-filename=\"slowmuon_1_5x3.5-500x333.png\" data-slide-type=\"image\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/physikon.net\/wp-content\/uploads\/2015\/09\/slowmuon_1_5x3.5-500x333.png\" height=\"400\" width=\"600\" alt=\"\" class=\"slider-3870 slide-3874 msDefaultImage\" \/><\/li>\n            <\/ul>\n        <\/div>\n        \n    <\/div>\n<\/div>\n<hr \/>\n<p style=\"text-align: justify;\">The slow muon production technique pioneered by Harshman and coworkers was adopted by the Paul Sherrer Institute (PSI) for their slow positive muon beam facility.<\/p>\n<ol>\n<li><span style=\"font-size: small;\"><strong>Observation of Low Energy \u00b5<sup>+<\/sup> Emission from Solid Surfaces<\/strong>, D. R. Harshman, J. B. Warren, J. L. Beveridge, K. R. Kendall, R. F. Kiefl, C. J. Oram, A. P. Mills, Jr., W. S. Crane, A. S. Rupaal and J. H. Turner, <a href=\"https:\/\/doi.org\/10.1103\/PhysRevLett.56.2850\">Physical Review Letters <strong>56<\/strong>, 2850 (1986)<\/a>. \u2021This work reported the first production of slow muons from solid surfaces (e.g., LiF) and provided the first published data of the production of Mu<sup>\u2013<\/sup> ions in vacuum.<\/span><\/li>\n<li><span style=\"font-size: small;\"><strong>Muon\/Muonium Surface Interactions<\/strong>, D. R. Harshman, Invited Paper, in Proceedings of the \u00b5SR-86\u00a0Conference, Uppsala, Sweden, 23 \u2013 27 June 1986, <a href=\"https:\/\/doi.org\/10.1007\/BF02394994\">Hyperfine Interactions\u00a0<b>32<\/b>, 847 (1986).<\/a><\/span><\/li>\n<li><span style=\"font-size: small;\"><strong>Generation of Slow Positive Muons from Solid Rare-Gas Moderators<\/strong>, D. R. Harshman, A. P. Mills, Jr., J. L. Beveridge, K. R. Kendall, G. D. Morris, M. Senba, J. B. Warren, A. S. Rupaal and J. H. Turner, <a href=\"https:\/\/doi.org\/10.1103\/PhysRevB.36.8850\">Physical Review B <strong>36<\/strong>, 8850 (1987)<\/a>. \u2021The slow muon production method pioneered here was adopted by the Paul Scherrer Institut (PSI) for their slow positive muon beam facility.<\/span><\/li>\n<li><span style=\"font-size: small;\"><strong>Slow Muon Physics<\/strong>, D. R. Harshman, Invited Paper, in <a href=\"http:\/\/doi.org\/10.1007\/978-1-4613-0963-5_31\"><em>Proceedings of the NATO Advanced Research Workshop on Atomic Physics with Positrons<\/em>, London, United Kingdom, 15 \u2013 18 July 1987, NATO ASI Series, Vol. 169, pp. 363-371, Edited by J. W. Humberston and E. A. G. Armour (Springer, Boston, MA, 1987)<\/a>.<\/span><\/li>\n<li><span style=\"font-size: small;\"><strong>Slow Muon Physics: Applications to Problems in Superconductivity<\/strong>, D. R. Harshman, Invited Paper, in <a href=\"https:\/\/www.osti.gov\/biblio\/10121912\"><em>Proceedings of the International Workshop on Low Energy Muon Science (LEMS\u201993)<\/em>, Sante Fe, New Mexico, USA, 4 \u2013 8 April 1993, p. 469, Edited by M. Leon<\/a>.<\/span><\/li>\n<\/ol>\n<hr \/>\n","protected":false},"excerpt":{"rendered":"<p>Ultra-Low Energy Muon Source, \u03bcSOL<img loading=\"lazy\" decoding=\"async\" class=\" wp-image-7750 alignright\" src=\"http:\/\/physikon.net\/wp-content\/uploads\/slowmu-570x1024.jpg\" alt=\"\" width=\"257\" height=\"462\" srcset=\"http:\/\/physikon.net\/wp-content\/uploads\/slowmu-570x1024.jpg 570w, http:\/\/physikon.net\/wp-content\/uploads\/slowmu-167x300.jpg 167w, http:\/\/physikon.net\/wp-content\/uploads\/slowmu-84x150.jpg 84w, http:\/\/physikon.net\/wp-content\/uploads\/slowmu.jpg 608w\" sizes=\"auto, (max-width: 257px) 100vw, 257px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Band-gap moderated slow positive muon beams \u2013 <\/strong>While positive muons (\u03bc+) typically behave as light protons, they can also act  \u2026 <a href=\"http:\/\/physikon.net\/?page_id=6296\"> Continue reading <span class=\"meta-nav\">&rarr; <\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-6296","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/physikon.net\/index.php?rest_route=\/wp\/v2\/pages\/6296","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/physikon.net\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/physikon.net\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/physikon.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/physikon.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6296"}],"version-history":[{"count":76,"href":"http:\/\/physikon.net\/index.php?rest_route=\/wp\/v2\/pages\/6296\/revisions"}],"predecessor-version":[{"id":8341,"href":"http:\/\/physikon.net\/index.php?rest_route=\/wp\/v2\/pages\/6296\/revisions\/8341"}],"wp:attachment":[{"href":"http:\/\/physikon.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6296"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}