What is the Conversion for Units in Particle Physics?

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SUMMARY

The discussion focuses on the conversion of units in particle physics, specifically in the context of deriving probability equations for neutrino oscillations. The user, Sam, seeks clarification on converting time to distance using the relativistic approximation, with a specific interest in the factor of 1.27. It is established that the conversion factor stems from the relationship 1 = 197 MeV-fm, derived from the equation 1 = hbar * c. Additionally, the conversion of seconds to inverse MeV is addressed, emphasizing the speed of light in the calculations.

PREREQUISITES
  • Understanding of particle physics concepts, particularly neutrino oscillations
  • Familiarity with relativistic approximations and their applications
  • Knowledge of unit conversions in physics, specifically energy and distance
  • Basic grasp of quantum mechanics, including constants like hbar and c
NEXT STEPS
  • Research the derivation of the conversion factor 1 = 197 MeV-fm
  • Study the implications of the relativistic approximation in particle physics
  • Learn about the conversion of time units to energy units, specifically seconds to inverse MeV
  • Explore the mathematical foundations of neutrino oscillation probability equations
USEFUL FOR

This discussion is beneficial for particle physicists, researchers in quantum mechanics, and students studying neutrino physics who require a deeper understanding of unit conversions and their applications in theoretical equations.

ylem
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Hello!

I was wondering if someone could help me with a problem of units!

I'm currently deriving probability equations for neutrino oscillations and I'm stuck with units!

I have: [(mass)^2 * time]/[4*energy] and I want to write it as [1.27 * (mass)^2 * distance]/[Energy] with distance in metres, energy in MeV and the mass in eV^2. I get that I can use the relativist approximation to get from time to distance (taking c and hbar to be 1).

I'm just wondering how you get the 1.27 that allows you to use this conversion? I assume it is [1eV^2 * 1 metre in MeV * (1/MeV)] but I don't know what 1 metre is in MeV. Can someone explain to how determine it?

Also, if anyone could explain how to get seconds in inverse MeV that would be great!

Thanks a lot, Sam
 
Physics news on Phys.org
There is a conversion 1=197 MeV-fm.
(you get that from 1=hbar*c.)
Then use 1=3X10^8 m/s.
 

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