183_notes:rest_mass

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Until now, you have dealt with particles that do not change their identity. Changing the identity of a particle occurs when a particle decays to another particle (or, typically, set of particles), or when two or more particles fuse together. In these notes, you will read about a new unit of energy (the electron volt) and how to use energy to predict or explain particle decay.

For many situations, the unit of the Joule is quite useful. For very small particles like neutrons, protons, and electrons, a different unit is used typically. Consider the rest mass energy for the neutron,

$$E_{rest} = mc^2 = (1.6749\times10^{-27}kg)(3\times10^{8} m/s)^2 = 1.51\times10^{-10}J$$

This energy is quite small, so folks often convert this to the electron volt which is,

$$1eV = 1.6\times10^{-19}J$$

The electron volt is just another unit of energy. It can be used to scale the rest mass energy of the neutron.

$$E_{rest} = 1.51\times10^{-10}J \dfrac{1eV}{1.6\times10^{-19}J} = 9.396 \times 10^8 eV = 939.6 MeV$$

Typically, elementary particle rest mass energies are given in “mega-electron volts” (MeV, $10^6$ eV). Below is a table of a few elementary particles and their rest mass energies.

Particle Rest Mass Energy (MeV)
Electron, $e^-$ 0.511 MeV
Proton, $p^+$ 938.8 MeV
Neutron, $n$ 939.6 MeV
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  • Last modified: 2014/10/03 20:43
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