What Is the Minimal Wavelength for Electron-Positron Pair Production?

[blade_090]

Homework Statement

what is the minimal wavelength of electromagnetic radiation to pair-produce an
electron-positron pair?

Homework Equations

~ = wavelength
hc/~ = 2MeC^2 + K

The Attempt at a Solution

hc/~ = 2MeC^2
= 2(9.11x10^-31)(3x10^8)^2
~ = 8.24x10^-11m
is tis correct?

 

[vela]

You should recheck your calculations. Your final answer is wrong.

Are you sure the question is asking for the minimal wavelength? If so, your method is incorrect. Energy goes down as wavelength increases, so your calculation finds the maximum wavelength.

 

[nkonina]

consider a pair production in a magnetic field of 0.1T. the particle-antiparticle pair have radii of curvature 120mm and 40mm respectively. Calculate the energy of the incident photon.