Is it possible to calculate the rest mass of a pion given only its E ?

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SUMMARY

The discussion centers on the calculation of the rest mass of a pion given only its total energy (E). It is established that without additional information regarding the pion's velocity, specifically the Lorentz factor (γ), one cannot determine its rest mass. The relationship between total energy and kinetic energy is clarified, emphasizing that total energy does not equate to kinetic energy alone. The equation E = mc² is referenced, but it is noted that m in this context does not represent the rest mass, as γ is required for accurate calculations.

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  • Understanding of relativistic physics concepts, particularly the Lorentz factor (γ).
  • Familiarity with the relationship between total energy and rest mass in particle physics.
  • Knowledge of the equation E = mc² and its implications in relativistic contexts.
  • Basic comprehension of kinetic energy versus total energy in relativistic scenarios.
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  • Study the derivation and applications of the Lorentz factor (γ) in relativistic physics.
  • Research the relationship between total energy, kinetic energy, and rest mass in particle physics.
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  • Learn about the properties and behavior of pions in high-energy physics experiments.
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This discussion is beneficial for physics students, particle physicists, and anyone interested in understanding the principles of relativistic mass calculations and energy relationships in high-energy particles.

rwooduk
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The TOTAL energy of a pion is given, no other information is given so we don't know how fast it is moving, is it possible to calculate its mass? I'm assuming it's relativistic and we need GAMMA (the lorentz factor)

Also if E is it's total energy what would it's kinetic energy be? wouldn't its kinetic energy be its total energy?


Thanks in advance for any help on this, I've been going round and round in circles.
 
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E = mc2 should help you find the mass when E is given :smile:
Here m is not the rest mass, because that requires ##\gamma## for ##m = \gamma m_0##.
So if are they asking for the rest mass the answer is no.
But you ask whether it's possible to calculate the mass (period).
 
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Thanks very much for the reply!

Very helpful.
 

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