Are there Rules for Quark Interactions and Particle Formation?

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SUMMARY

The discussion centers on the rules governing quark interactions and particle formation, specifically during proton collisions. It highlights that when two protons collide, a down-antidown quark pair can be created, resulting in a pi-plus meson, a neutron, and a proton. The conversation emphasizes the role of isotopic spin, represented by SU(2) in group theory, in determining the branching ratios of various particle combinations, such as pi-plus and pi-zero mesons. Understanding these interactions requires a grasp of the underlying symmetries and rules that dictate particle formation.

PREREQUISITES
  • Understanding of quark theory and particle physics
  • Familiarity with isotopic spin and its representation in group theory (SU(2))
  • Knowledge of meson types, including pi-plus and pi-zero mesons
  • Basic principles of particle collision dynamics
NEXT STEPS
  • Research the concept of isotopic spin in particle physics
  • Study the branching ratios of particle decay and formation
  • Explore the implications of SU(2) symmetry in quantum mechanics
  • Investigate the types of mesons and their properties in high-energy collisions
USEFUL FOR

Students of particle physics, physicists interested in quark interactions, and anyone studying the principles of high-energy collisions and particle formation.

QueenFisher
example: 2 protons collide and a down-antidown quark pair is created, giving a pi-plus meson, a neutron and a proton. with all those quarks knocking around, are there specific rules saying which particles are formed from them? like, what stops there being a pi-zero meson and 2 protons? or any other combinations thereof??
 
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QueenFisher said:
example: 2 protons collide and a down-antidown quark pair is created, giving a pi-plus meson, a neutron and a proton. with all those quarks knocking around, are there specific rules saying which particles are formed from them? like, what stops there being a pi-zero meson and 2 protons? or any other combinations thereof??
I don't know your level, but this can get a bit technical. There is an internal symmetry called "isotopic spin" (In group theory language, it is
SU(2)) that can be used to determine branching ratios like that.
If you are interested, I could relate branching ratios for different final states. You could have [pi+pi-, pi0pi0, pi+pi+, pi+pi0] and two nucleons, each at a specific rate compared to the other 3 three.
 
yeah that sounds a bit too technical for me! I'm only AS level
 

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