Obtaining the CDSA range of Bethe-Bloch Equation

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SUMMARY

The discussion focuses on measuring the energy distribution of cosmic muons using the Bethe-Bloch equation, specifically addressing the challenge of obtaining the CDSA range for the 0.01 ≤ β ≤ 0.05 range. The equation presented is R(T_0) = R_0(T_{min}) + ∫_{T_{min}}^{T_0} (dE/dx)^{-1} dE, where R_0 and T_{min} must be empirically determined. Participants highlight that at β = 0.05, muons retain approximately 130 keV of energy, suggesting that the remaining stopping distance is negligible, around 10 micrometers. The need for empirical data to accurately calculate R_0 and T_{min} is emphasized.

PREREQUISITES
  • Understanding of the Bethe-Bloch equation and its application in particle physics
  • Familiarity with cosmic muon detection techniques
  • Knowledge of energy loss mechanisms in matter
  • Basic calculus for integrating functions
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  • Research empirical methods for determining R_0 and T_{min} in the Bethe-Bloch equation
  • Study cosmic muon flux measurement techniques and scintillator paddle setups
  • Explore energy loss calculations in materials relevant to particle physics
  • Investigate the impact of varying lead stack sizes on muon energy distribution
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Students and researchers in particle physics, particularly those involved in experimental projects measuring cosmic muon energy distributions and applying the Bethe-Bloch equation.

PiratePhysicist
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I'm currently working on my junior project (it's basically a senior project, but for some reason you're supposed to take it third year), which is to measure the energy distribution of cosmic muons. We're doing this by measuring the muon flux that reaches a scintillator paddle below a stack of lead and varying the size of the stack of lead. Of course we're using the Bethe-Bloch equation. Now I've found in both a book from the library and chapter 27 of the PDG's works that there is no working model for the 0.01 \leq \beta \leq 0.05 range, so in the equation
<br /> R(T_0)=R_0(T_{min})+{\int_{T_{min}}}^T_0\left(\frac{dE}{dx}\right)^{-1}dE<br />

The values for R_0 and T_{min} are empirically determined. So is there anyway I can find these value? Any help at all? Thanks.

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Kristopher
 
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At beta=0.05 muons just have 130 keV left. You can neglect the remaining stopping distance, it is probably just something like 10 micrometers.
 

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