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stakhanov
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Can someone help me? I want to use the Bethe-Bloch equation for stopping power of muons. I have put it all together but it is coming out with stupid answers (like 10^-64). I have kept the units consistently SI. Any ideas?
stakhanov said:Thanks for your reply.
They are cosmic-ray muons so I'm not worried about energies below ~0.1GeV (which I think is well above the lower limit of application). I will be looking at energies as high as I can go without having to worry too much about radiation losses (which I know is Z-dependent and which I will find out from working out the muon critical energy - I think it's just over 110GeV for uranium).
I'm getting the mean excitation energy from table (which /i believe is from the formula you mentioned) but am converting from eV to J.
I'm using SI units to try and keep everything consistent. I have gone through all the side equations and as far as I can tell they are all consistent. The next thing I will try to do is convert the answer to MeV/g cm^2 and see if it gets me any nearer.
Just one side point, ze is the charge of the incident particle. Since it is muons I am looking at, when z^2 appears, should this just equal 1?
The Bethe-Bloch equation is a formula that describes the energy loss of high-energy charged particles, such as muons, as they pass through a material. It takes into account factors such as the density of the material, the atomic number of the atoms in the material, and the velocity of the particle.
The Bethe-Bloch equation was originally derived by Hans Bethe and Felix Bloch in the 1930s. It is based on the concept of energy loss due to interactions between the charged particle and the atoms in the material it is passing through. The equation is derived using classical mechanics and quantum mechanics principles.
The Bethe-Bloch equation is an important tool in particle physics as it allows for the prediction of the energy loss of high-energy charged particles in various materials. This is useful in understanding the behavior of particles in particle accelerators and in the detection of particles in experiments.
The Bethe-Bloch equation is specifically designed for high-energy charged particles, such as muons, while other energy loss equations may be more general and applicable to a wider range of particles. The Bethe-Bloch equation also takes into account the velocity of the particle, which can significantly affect its energy loss in a material.
The Bethe-Bloch equation is a good approximation for the energy loss of high-energy muons in most materials. However, it does not take into account certain factors such as the effects of multiple scattering and fluctuations in energy loss due to quantum effects. These limitations may become more significant at very high energies.