muon lifetime and time dilation effect
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Muon Lifetime and time dilation effect. Measuring the stopping rate of muons, as a function of depth in the atmosphere to demonstrate the time dilation effect of special relativity. Melinda Jolley. - PowerPoint PPT PresentationTRANSCRIPT
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MUON LIFETIME AND TIME DILATION EFFECT
Measuring the stopping rate of muons, as a function of depth in the atmosphere to demonstrate the time dilation effect of special
relativity.Melinda Jolley
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THE MUON WAS SO UNEXPECTED THAT, REGARDING ITS DISCOVERY, NOBEL LAUREATE ISIDOR ISAAC RABI FAMOUSLY QUIPPED, “WHO ORDERED THAT?”
Where do muons come from?
• Not completely sure• Somewhere in deep space?• Very recent NASA research
Muons were originally thought to be meson• It’s name is a combination of
mu and meson• Femi Coupling Constant (
The Muon• Nope, it is a Lepton
• Nicknamed ‘The Heavy Electron’• 𝜇± →e± +2 ν
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THE GOALS OF MY EXPERIMENT Determine the
Measured Lifetime of the Muon• Muon Physics • Moun.exe
• Accepted τ = 2.20 µs
The Fermi Coupling Constant
• Use the measured τ
Is there no Time Dilation?
• Rates of Muon decays at one elevation
• Approximation for rate at second elevation
• Correction factors for Energy Loss over distance and
Variations in the shape of the muon energy spectrum
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CORRECTING FOR ENERGY LOSS
• .
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THE MUON ENERGY
SPECTRUM
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THE PREDICTIONS
• = • =
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THE EQUIPMENT USED
• Scintillator is placed at the bottom of a black anodized
aluminum alloy tube• Plastic Scintillator made of
Organic Transparent Material
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HOW THE DATA LOOKS
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MY DATA
• High Voltage set to -1154 Volts• Threshold Voltage set to 206 MeV• First location: Pueblo, CO, Elevation 1420 m• Second location: Monarch Mountain Base Summit, CO, Elevation 3290 m• ΔH= 1870 m
• Much more Pueblo Data than Monarch Data
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FERMI COUPLING CONSTANT • Accepted value:
• Pueblo value : • Monarch value :
• Mass of the Muon = • Reduced Planck’s Constant =
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STOPPING RATES
• Pueblo’s Stopping Rate = • Monarch’s Stopping Rate =
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RATES ACCOUNTING FOR
ENERGY LOSS
• t=6.28 µsec or • . • , , •
• Remember t is the transit time assuming no Time Dilation
• t’ assumes Time Dilation Effects
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MUON ENERGY SPECTRUM
CORRECTIONAND PREDICTIONS
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GREAT INCONSISTENCY OF THE MEASURED ANSWER WITH THE HYPOTHESIS THAT THERE IS NO
RELATIVISTIC TIME DILATION EFFECTS ON THE MUON
The data was consistent with the Relativistic Time Dilation Hypothesis.
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“
”IF WE KNEW WHAT IT WAS WE WERE DOING, IT WOULD NOT BE CALLED
RESEARCH, WOULD IT
Einstein
Thanks to:Dr. BrownDr. WallinMy family
Special thanks to Annika, Thomas, and Olivia