Quark Model Families and Masses

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SUMMARY

The discussion focuses on the pseudoscalar and vector meson families, as well as the baryon J = 1/2 and J = 3/2 families within the quark model. Participants emphasize the importance of detailing each particle's quantum numbers, mass, and quark content, while also suggesting the need for (Y, I_3) and (Q, U_3) diagrams for each multiplet. It is noted that the Particle Data Group (PDG) provides comprehensive data on particle names and masses, which can be referenced for this information.

PREREQUISITES
  • Understanding of quantum numbers in particle physics
  • Familiarity with the quark model and its classifications
  • Knowledge of meson and baryon families
  • Ability to interpret (Y, I_3) and (Q, U_3) diagrams
NEXT STEPS
  • Review the Particle Data Group (PDG) resources for particle properties
  • Study the quark model in detail, focusing on baryon and meson classifications
  • Learn to construct and interpret (Y, I_3) and (Q, U_3) diagrams
  • Explore the implications of quantum numbers on particle interactions
USEFUL FOR

Physicists, students in particle physics, and researchers interested in the quark model and particle classification will benefit from this discussion.

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TL;DR
Our teacher has given us some exercises.This is one that i had a hard time.I think that for the J=1/2 we will have a hexagon for the (Y,I_3) but i cannot prove it.
Consider the pseudoscalar and vector meson family, as well as the baryon
J = 1/2 family and baryon J = 3/2 family.
Within each multiplet, for each particle state write down its complete set
of quantum numbers, its mass, and its quark state content. Furthermore, for
each multiplet draw the (Y, I_3) and (Q, U_3) diagrams.
 
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