Can Up Quark Absorb Negative W Particle to Become Strange?

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Discussion Overview

The discussion revolves around the possibility of an up quark absorbing a negative W particle to transform into a strange quark. This inquiry is situated within the context of weak interactions and particle decay processes, specifically relating to the decay of B mesons.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions whether an up quark can absorb a negative W particle to become a strange quark, referencing the reverse process where a strange quark can emit a positive W particle to become an up quark.
  • Another participant suggests that the process appears possible, citing a Wikipedia article on quarks and weak interactions.
  • It is proposed that processes can generally occur in both directions as long as energy conservation is maintained.
  • A participant notes that the top quark may not be reachable through this interaction due to its significantly larger mass compared to W bosons.
  • One participant introduces a related historical context regarding discrepancies in experimental decay rates that led to the postulation of a fourth quark, the charm quark, referencing the GIM mechanism.
  • Another participant elaborates that while high accelerator energies could theoretically allow for transitions involving the top quark, the transition amplitude between down and top quarks is very small, making such transitions unlikely.

Areas of Agreement / Disagreement

Participants express differing views on the feasibility of the proposed interaction, with some suggesting it is possible under certain conditions, while others highlight limitations related to quark masses and transition probabilities. No consensus is reached regarding the overall viability of the process.

Contextual Notes

Participants mention energy conservation as a critical factor in the proposed interactions. There is also an acknowledgment of the significant mass difference between the top quark and W bosons, which may influence the likelihood of certain transitions.

KBriggs
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Can an up quark absorb a negative W particle and become a strange quark? I know s can turn into u via the opposite process (emission of positive W), but can the interaction go the other way?

This arises when trying to draw the Feynman diagram for the rather unlikely decay

B^+\to D_s^++\bar{K^0}
 
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The process can always go both ways, as long as energy is conserved.
 
Thanks. I guess then the only quark that could not be reached this way would be top quark, since its mass is so much larger than the mass of the W bosons.
 
An interesting question, related to this, was why experimentally the calculated rates of the process didn't match with the expected for a three quarks model, so a fourth quark, the charm, was postulated. See GIM mechanism.
 
KBriggs said:
Thanks. I guess then the only quark that could not be reached this way would be top quark, since its mass is so much larger than the mass of the W bosons.

Hey, with enough accelerator energy everything is possible :wink: The top mass is 175 GeV, and the available energy at for example LHC (\sqrt{\hat{s}} ) is probably a couple of TeV, i.e. many times the top mass

Though you are correct in your reasoning, the transition amplitude between d and t quarks is a very small number, so transitions from down/strange to top are very unlikely. See Wiki: Cabibbo-Kobayashi-Maskawa matrix, the numbers to look for are non-diagonal ones in the third row, these describe transitions between top and lighter down-type quarks.
 

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