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Chapter 39: Problem 44

List all the possible quark triplets formed from any combination of up, down, and charmed quarks, along with the charge of each.

Short Answer

Expert verified
The possible quark triplets and their charges are: \n 1. Up, Up, Up (+2) \n 2. Up, Up, Down (+1) \n 3. Up, Up, Charmed (+2) \n 4. Up, Down, Down (0) \n 5. Up, Down, Charmed (+1) \n 6. Up, Charmed, Charmed (+2) \n 7. Down, Down, Down (-1) \n 8. Down, Down, Charmed (+1/3) \n 9. Down, Charmed, Charmed (+4/3) \n 10. Charmed, Charmed, Charmed (+2).

Step by step solution

01

Identify All Unique Combinations

To find out all the possible combinations of three quarks that can be made using up, down, and charmed quarks, compute all possible variations with repetition. These are: \n 1. Up, Up, Up \n 2. Up, Up, Down \n 3. Up, Up, Charmed \n 4. Up, Down, Down \n 5. Up, Down, Charmed \n 6. Up, Charmed, Charmed \n 7. Down, Down, Down \n 8. Down, Down, Charmed \n 9. Down, Charmed, Charmed \n 10. Charmed, Charmed, Charmed.
02

Calculate the Charge

Next, calculate the charge of each combination by adding up the charges of the individual quarks, using the given values Up = +2/3, Down = -1/3 and Charmed = +2/3. Then, produce the result for each of the 10 combinations.
03

List of All Combinations with Their Charges

Finally, present all the quark triplets formed from any combination of up, down, and charmed quarks along with the charge of each combination. List the triplets in a tabular form with two columns, one for the combination and one for the charge.

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Most popular questions from this chapter

Name the fundamental force involved in (a) binding of a proton and a neutron to make a deuterium nucleus; (b) decay of a neutron to a proton, an electron, and a neutrino; (c) binding of an electron and a proton to make a hydrogen atom.

A so-called muonic atom is a hydrogen atom with the electron replaced by a muon; the muon's mass is 207 times the electron's. Find (a) the size and (b) the ground-state energy of a muonic atom.

The Eightfold Way led Gell-Mann to predict a baryon with strangeness \(-3 .\) Determine this particle's quark composition.

Some grand unification theories suggest that the decay \(p \rightarrow \pi^{0}+e^{+}\) may be possible, in which case all matter may eventually become radiation. Are (a) baryon number and (b) electric charge conserved in this hypothetical proton decay?

Is it possible for a charged particle to be its own antiparticle?
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