How Does the Bethe-Bloch Formula Estimate Muon Energy Loss in NaI Scintillators?

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SUMMARY

The discussion focuses on utilizing the Bethe-Bloch formula to estimate the energy loss of muons in NaI scintillators. The participant is measuring muon mass using relevant electronics and data acquisition software but is unclear on incorporating the velocity of muons (β) into the formula. They seek clarification on the meaning of dE/dx and whether integrating the expression is sufficient for calculating total energy loss. Additionally, they express difficulty in finding information on the ionization potential of NaI.

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  • Understanding of the Bethe-Bloch formula
  • Familiarity with NaI scintillator properties
  • Basic knowledge of particle physics and muon behavior
  • Experience with data acquisition software for energy measurement
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  • Research the application of the Bethe-Bloch formula in particle physics
  • Learn how to calculate β for muons based on their velocity
  • Explore pre-calculated tables for particle range in various materials
  • Investigate the ionization potential of NaI and its implications for energy loss
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I am currently carrying out a project to measure the mass of muons.
I am doing this using an NaI scintillator, relevant electronics and data aquisition software to measure the energy of the decay electrons the the energy lost by muons traveling through the scintillator.
However, i am having trouble fully understanding the Bethe-Bloch formula and how it helps me predict the energy lost in the scintillator by through-going muons. I understand each of the terms in the equation (although i don't know how to incorporate β as i do not know the velocity of the muons) but am not clear on what dE/dx actually tells me and how i can use this to find the energy lost by the muons. Is it as simple as integrating the expression?

On a side not, i am struggling to find information on the ionisation potential of NaI.

Thanks

TL;DR - How do i use the Bethe-Bloch formula to find the total energy lost by muons traveling through an NaI scintillator?
 
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c.g2 said:
Is it as simple as integrating the expression?
You get a differential equation as dE/dx depends on the energy E. For a thin material this might be negligible. There are also pre-calculated tables about the range of particles in different materials somewhere.
 

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