{"id":548,"date":"2020-03-08T01:58:10","date_gmt":"2020-03-08T01:58:10","guid":{"rendered":"http:\/\/www.nuclearphysicslab.com\/npl\/muon-lifetime-measurment\/"},"modified":"2020-04-05T12:34:29","modified_gmt":"2020-04-05T16:34:29","slug":"muon-lifetime-measurment","status":"publish","type":"page","link":"http:\/\/www.nuclearphysicslab.com\/npl\/npl-home\/experiments\/muons\/muon-lifetime-measurment\/","title":{"rendered":"Life &#038; Times of a Muon"},"content":{"rendered":"\n<p class=\"has-text-align-center\"><em>Author: Eva &amp; Tim<\/em><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/IMG_1847.jpg\"><img loading=\"lazy\" width=\"2048\" height=\"1362\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/IMG_1847.jpg\" alt=\"\" class=\"wp-image-745\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/IMG_1847.jpg 2048w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/IMG_1847-768x511.jpg 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/IMG_1847-1536x1022.jpg 1536w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/IMG_1847-406x270.jpg 406w\" sizes=\"(max-width: 2048px) 100vw, 2048px\" \/><\/a><figcaption>The overall muon lifetime experimental system.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9811-rotated.jpg\"><img loading=\"lazy\" width=\"2832\" height=\"4256\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9811-rotated.jpg\" alt=\"\" class=\"wp-image-759\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9811-rotated.jpg 2832w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9811-1664x2500.jpg 1664w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9811-768x1154.jpg 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9811-1022x1536.jpg 1022w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9811-1363x2048.jpg 1363w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9811-180x270.jpg 180w\" sizes=\"(max-width: 2832px) 100vw, 2832px\" \/><\/a><figcaption>Tim was given a pile of BC-408 plastic scintillator panels from our friend Jim. The only sensible thing to do was to make a muon telescope of sorts.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9875.jpg\"><img loading=\"lazy\" width=\"4256\" height=\"2832\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9875.jpg\" alt=\"\" class=\"wp-image-763\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9875.jpg 4256w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9875-768x511.jpg 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9875-1536x1022.jpg 1536w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9875-2048x1363.jpg 2048w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9875-406x270.jpg 406w\" sizes=\"(max-width: 4256px) 100vw, 4256px\" \/><\/a><figcaption>This is the NIM logic layout to use four panels of BC-408 to measure the muon&#8217;s lifetime.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9868-1-rotated.jpg\"><img loading=\"lazy\" width=\"2832\" height=\"4256\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9868-1-rotated.jpg\" alt=\"\" class=\"wp-image-767\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9868-1-rotated.jpg 2832w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9868-1-1664x2500.jpg 1664w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9868-1-768x1154.jpg 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9868-1-1022x1536.jpg 1022w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9868-1-1363x2048.jpg 1363w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/TIM_9868-1-180x270.jpg 180w\" sizes=\"(max-width: 2832px) 100vw, 2832px\" \/><\/a><figcaption>A close up of the wiring.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/F0219TEK-1.jpeg\"><img loading=\"lazy\" width=\"320\" height=\"240\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/F0219TEK-1.jpeg\" alt=\"\" class=\"wp-image-770\"\/><\/a><figcaption>This scope shot is an example of a muon only triggering the upper BC-408 panel.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/F0217TEK-1.jpeg\"><img loading=\"lazy\" width=\"320\" height=\"240\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/F0217TEK-1.jpeg\" alt=\"\" class=\"wp-image-768\"\/><\/a><figcaption>This scope shot is an example of a muon barreling through all three detectors<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/F0218TEK-1.jpeg\"><img loading=\"lazy\" width=\"320\" height=\"240\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/F0218TEK-1.jpeg\" alt=\"\" class=\"wp-image-769\"\/><\/a><figcaption>This scope shot shows a muon entering the top and middle detectors, but scattering before it entered the third.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/F0220TEK-1.jpeg\"><img loading=\"lazy\" width=\"320\" height=\"240\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/F0220TEK-1.jpeg\" alt=\"\" class=\"wp-image-771\"\/><\/a><figcaption>Finally, the signature of a captured muon!  The muon enters the top detector and then the middle detector.  The second pulse on the blue trace is the signature the muon makes when it decays into an electron.  The period of time between the muon entering and its subsequent decay is governed by exponential decay statistics and hence has a characteristic lifetime.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/F0216TEK-1.jpeg\"><img loading=\"lazy\" width=\"320\" height=\"240\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/F0216TEK-1.jpeg\" alt=\"\" class=\"wp-image-772\"\/><\/a><figcaption>Another example of a captured muon, this time with a shorter time before decay.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/6weeks_of_data-1.png\"><img loading=\"lazy\" width=\"560\" height=\"420\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/6weeks_of_data-1.png\" alt=\"\" class=\"wp-image-773\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/6weeks_of_data-1.png 560w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/6weeks_of_data-1-360x270.png 360w\" sizes=\"(max-width: 560px) 100vw, 560px\" \/><\/a><figcaption>To obtain a value for the characteristic lifetime, a statistically meaningful number of muon decay events and their time must be recorded. The above is a histogram of those times.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/6weeks_fit-1.png\"><img loading=\"lazy\" width=\"1057\" height=\"841\" src=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/6weeks_fit-1.png\" alt=\"\" class=\"wp-image-774\" srcset=\"http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/6weeks_fit-1.png 1057w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/6weeks_fit-1-768x611.png 768w, http:\/\/www.nuclearphysicslab.com\/npl\/wp-content\/uploads\/6weeks_fit-1-339x270.png 339w\" sizes=\"(max-width: 1057px) 100vw, 1057px\" \/><\/a><figcaption>A fit to to the exponential curve with a DC background yields a measurement of the lifetime.  <\/figcaption><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Author: Eva &amp; Tim<\/p>\n","protected":false},"author":1,"featured_media":2948,"parent":1875,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"advanced-sidebar-menu\/link-title":"","advanced-sidebar-menu\/exclude-page":false},"categories":[21,18],"tags":[],"_links":{"self":[{"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/pages\/548"}],"collection":[{"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/comments?post=548"}],"version-history":[{"count":6,"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/pages\/548\/revisions"}],"predecessor-version":[{"id":2949,"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/pages\/548\/revisions\/2949"}],"up":[{"embeddable":true,"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/pages\/1875"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/media\/2948"}],"wp:attachment":[{"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/media?parent=548"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/categories?post=548"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.nuclearphysicslab.com\/npl\/wp-json\/wp\/v2\/tags?post=548"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}