Sign of the gyromagnetic ratio

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SUMMARY

The gyromagnetic ratio is a crucial factor in determining the magnetic moment of particles, specifically protons and neutrons, where it is positive for protons and negative for neutrons. This sign has observable effects, particularly in the calculation of the magnetic moment of the deuteron and influences the direction of spin precession in a magnetic field. When utilized as a gyroscope, the spin's frequency shift is contingent upon the sign of the gyromagnetic ratio, affecting measurements of rotation rates in experimental setups.

PREREQUISITES
  • Understanding of quantum mechanics and spin operators
  • Familiarity with magnetic moments and their significance in particle physics
  • Knowledge of the deuteron and its properties
  • Basic principles of gyroscopic motion and precession
NEXT STEPS
  • Research the mathematical formulation of the gyromagnetic ratio in quantum mechanics
  • Study the magnetic moment calculations for various particles, including protons and neutrons
  • Explore the implications of spin precession in magnetic fields
  • Investigate experimental techniques for measuring rotation rates using gyroscopes
USEFUL FOR

Physicists, particularly those specializing in nuclear and particle physics, as well as researchers involved in experimental physics and magnetic resonance studies.

Jarl
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Hi, I have posted this doubt in other forums and people don't know the answer. (sorry if my English is not very good!)

Let's see: to obtain the operator for the magnetic moment component of a particle, we have to apply a few factors to the spin operator, and one of them, the so-called 'gyromagnetic ratio' can be positive or negative depending on the particle, for example it is positive for protons and negative for neutrons.

Does this sign have any observable effect?
Thanks in advance,


(Maybe this should be in the nuclear and particle sub-forum?)
 
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The sign has a measurable effect.
It enters in adding the magnetic moments of the p and n to calculate the magnetic moment of the deuteron.
 
It does have a measurable effect. The sign of the gyromagnetic ratio determines the direction with which the spin precesses in a magnetic field. If the spin is used as a gyroscope to determine the rotation rate of the apparatus, then the sign of the frequency shift depends on the sign of the gyromagnetic ratio.
 

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