Orbital Frequency of Electron-Positron Pair: Calculating 1.0nm Separation

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SUMMARY

The discussion focuses on calculating the orbital frequency of an electron and a positron separated by 1.0nm. The positron, with a charge of +e, and the electron, with a charge of -e, can be modeled as a dumbbell system rotating about their center of mass. To determine the orbital frequency, one must first calculate the center of mass and then derive the velocity from the mutual attractive force between the two particles.

PREREQUISITES
  • Understanding of elementary particle physics, specifically electron and positron properties.
  • Knowledge of classical mechanics, particularly the concepts of center of mass and orbital motion.
  • Familiarity with Coulomb's law for calculating forces between charged particles.
  • Basic proficiency in mathematical calculations involving forces and frequencies.
NEXT STEPS
  • Calculate the center of mass for a two-particle system using the formula for center of mass.
  • Apply Coulomb's law to determine the mutual attractive force between the electron and positron.
  • Use the derived force to calculate the orbital velocity of the particles.
  • Determine the orbital frequency using the relationship between velocity and radius in circular motion.
USEFUL FOR

Students and professionals in physics, particularly those studying particle dynamics and electromagnetic interactions, will benefit from this discussion.

soccerref14
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Can someone tell me how or an idea on how to start this problem?

A positron is an elementary particle identical to an electron except that its charge is +e. An electron and a positron can rotate about their center of mass as if they were a dumbbell connected by a massless rod. What is the orbital frequency for an electron and a positron 1.0nm apart?
 
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Find out the center of mass of the entire system. You can then assume that two particles are orbiting around their mutual center of mass. The velocity can be calculated from their mutual attractive force.
 

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