How is weak isospin/hypercharge calculated?

In summary, the equation YW = 2(Q-T3) can be used to relate weak isospin and weak hypercharge, but it does not explain how to calculate each property individually. Weak isospin is assigned to left-handed leptons and quarks in a way that distinguishes charge states, similar to normal isospin for up and down quarks. The equation T3 = Q + L/2 - B/2 can be used for calculating weak isospin for particles, and a table of weak isospin and weak hypercharge can be found in the Wikipedia article on weak hypercharge.
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Harry235435
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I am familiar with the following equation which relates weak isospin (T3) and weak hypercharge (YW):
YW = 2(Q-T3)
(Where Q is electric charge)
However, while this can be used to calculate YW from T3 and vice versa, how do you calculate each of these properties individually, without using the other?
 
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Weak isospin is assigned to the usual (left-handed chirality) leptons and quarks in such a way as to distinguish the two different charge states in each generation, in the same way that normal isospin distinguishes the up and down quarks. I think that for those particles T3 = Q + L/2 - B/2 where Q is the charge, L is the lepton number and B is the baryon number.

There's a table of weak isospin and weak hypercharge for those particles in the Wikipedia article on weak hypercharge.
 
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Related to How is weak isospin/hypercharge calculated?

1. How is weak isospin/hypercharge calculated?

The weak isospin and hypercharge are calculated using mathematical equations derived from the Standard Model of particle physics. These equations take into account the properties of the particles involved, such as their mass and charge, and their interactions with the weak force.

2. What particles are involved in the calculation of weak isospin/hypercharge?

The calculation of weak isospin and hypercharge involves all particles that interact with the weak force, including quarks, leptons, and the Higgs boson. These particles have different values for their weak isospin and hypercharge, which are used in the calculation.

3. How do weak isospin and hypercharge relate to each other?

Weak isospin and hypercharge are two related quantum numbers that describe the weak interactions between particles. They are related by the Gell-Mann-Nishijima formula, which states that the sum of the weak isospin and hypercharge for a given particle is equal to its electric charge.

4. How does the calculation of weak isospin/hypercharge impact particle physics research?

The calculation of weak isospin and hypercharge is important in understanding the properties and behavior of particles, as well as their interactions with each other. This information is crucial in particle physics research, as it helps scientists to develop and test theories about the fundamental nature of matter and the universe.

5. Can the calculation of weak isospin/hypercharge be experimentally verified?

Yes, the values for weak isospin and hypercharge can be experimentally verified through particle accelerator experiments and other high-energy physics experiments. By measuring the properties and interactions of particles, scientists can confirm the calculated values and further refine our understanding of the weak force and its effects on particles.

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