Solving for X's Baryon & Lepton Number

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SUMMARY

The baryon number of particle X is determined to be 0, while its lepton number is +1, confirming that X is classified as a lepton. The discussion emphasizes the importance of charge conservation in particle interactions, particularly when analyzing Feynman diagrams. It clarifies that internal lines in these diagrams do not have a defined direction, and the labeling of W bosons can be ambiguous. Ultimately, the particle X is identified as a neutrino, which has a charge of zero.

PREREQUISITES
  • Understanding of baryon and lepton numbers in particle physics
  • Familiarity with Feynman diagrams and their interpretation
  • Knowledge of charge conservation principles in particle interactions
  • Basic concepts of neutrinos and their properties
NEXT STEPS
  • Study the role of W bosons in weak interactions
  • Learn about the different types of neutrinos and their characteristics
  • Explore advanced topics in Feynman diagram analysis
  • Investigate the implications of charge conservation in particle physics
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Students and researchers in particle physics, physicists working on weak interactions, and anyone interested in the properties and classification of subatomic particles.

Cicicicici
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Homework Statement


Screen Shot 2018-05-26 at 6.59.37 pm.png


Homework Equations

The Attempt at a Solution


I worked out that the baryon number of X is 0 and the lepton number is +1 which means x is a lepton.
However, when I work out the charge of X, do I add W+ to the left hand side or right hand side of the equation? [/B]
 

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Which way does the W+ go?
Hint: law of conservation of charge.
 
Simon Bridge said:
Which way does the W+ go?
Hint: law of conservation of charge.
from the proton to the neutron? because proton is +1?
 
Simon Bridge said:
Which way does the W+ go?
Hint: law of conservation of charge.
Cicicicici said:
from the proton to the neutron? because proton is +1?
It should be pointed out that internal lines in Feynman diagrams do not ”go” in any direction. As such, the labelling of ##W^+## in the diagram is dubious as the diagram equally well represents the other time ordering where one might say that it is a ##W^-## going from the right to the left. In fact, people often take Feynman diagrams way too literally as if the lines were representing the worldlines of little balls moving around. They are nothing but (very very useful) graphical representations of terms in a mathematical series expansion.

When it comes to charge conservation, you can always draw an arrow on a line representing the charge flow and use charge conservation at each vertex. (You can do this for any charge, not just electric charge.)

You are correct that it must be a lepton. What charge must it have based on the above?
 
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Orodruin said:
It should be pointed out that internal lines in Feynman diagrams do not ”go” in any direction. As such, the labelling of ##W^+## in the diagram is dubious as the diagram equally well represents the other time ordering where one might say that it is a ##W^-## going from the right to the left. In fact, people often take Feynman diagrams way too literally as if the lines were representing the worldlines of little balls moving around. They are nothing but (very very useful) graphical representations of terms in a mathematical series expansion.

When it comes to charge conservation, you can always draw an arrow on a line representing the charge flow and use charge conservation at each vertex. (You can do this for any charge, not just electric charge.)

You are correct that it must be a lepton. What charge must it have based on the above?
zero? so it is a neutrino?
 
Cicicicici said:
zero? so it is a neutrino?
Yes.
 
Orodruin said:
Yes.
Thank you!
 
Cicicicici said:
Thank you!
Cicicicici said:
Thank you!
And what type of neutrino is it ?
 

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