Relationship between charge and mass

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SUMMARY

The discussion clarifies the relationship between charge and mass in the context of nuclear physics, specifically focusing on quark masses. The d quark is confirmed to be more massive than the u quark, which explains the neutron's greater mass compared to the proton. The conversation highlights the role of electrostatic repulsion in protons, necessitating additional energy for their formation, contrasting with the attractive forces that lead to mass loss in larger structures like Earth. The text used for reference is Cottingham, which lacks detailed explanations on this topic.

PREREQUISITES
  • Understanding of quark structure and properties
  • Familiarity with nuclear physics concepts
  • Knowledge of electrostatic forces and energy interactions
  • Basic comprehension of mass-energy equivalence
NEXT STEPS
  • Study the implications of quark mass differences in particle physics
  • Explore the concept of electrostatic repulsion in protons
  • Investigate mass-energy equivalence in nuclear reactions
  • Review advanced topics in hadron spectroscopy
USEFUL FOR

Students of nuclear physics, physicists interested in particle interactions, and educators seeking to clarify concepts related to mass and charge in subatomic particles.

mateomy
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Not really a problem but more of a confusion with things.

(Nuclear Physics)

The paragraph on a homework assignment my professor handed out states:

"From hadron spectroscopy we learn that the d quark is slightly more massive than the u quark. This accounts for the larger mass of the neutron compared to the proton. We expect that if the masses of the u and d quarks were equal the proton should be more massive than the neutron because it has a net charge..."

I'm confused how mass and charge are related to one another. We're using Cottingham as our text and I can't find anything in it that addresses this. Can anyone clear this up for me?

Thanks.
 
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Think about what happens if you assemble the Earth from the parts that made it up. They all fall together because they all attract each other. In the end you have a hot Earth because they've all fallen together. Then the Earth cools and radiates the energy away. So the Earth has lost energy and hence lost mass. The Earth is lighter than the parts that made it up. The proton is the opposite. The parts that make it up in the net repel each other. You need to put extra energy into make a proton from the parts to account for the electrostatic repulsion.
 
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