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Chapter 39: Problem 42

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 combinations and their charges are: uuu (2), uud (1), uuc (2), udd (0), udc (1), ucc (2), ddd (-1), ddc (0), dcc (1), ccc (2).

Step by step solution

01

Identify the possible combinations

Form all possible quark triplets using combinations of the three types: up (u), down (d), and charmed (c). The triplets are: uuu, uud, uuc, udd, udc, ucc, ddd, ddc, dcc, ccc.
02

Compute the charges

Compute the charge for each of the combinations. The charges for up, down, and charmed quarks are +2/3, -1/3, and +2/3, respectively. Using these, the charge for each combination is computed as follows, \n\uuu = 2/3 + 2/3 + 2/3 = 2, \n\uud = 2/3 + 2/3 - 1/3 = 1, \n\uuc = 2/3 + 2/3 + 2/3 = 2, \n\udd = 2/3 - 1/3 - 1/3 = 0, \n\udc = 2/3 - 1/3 + 2/3 = 1, \n\ucc = 2/3 + 2/3 + 2/3 = 2, \n\ddd = -1/3 - 1/3 - 1/3 = -1, \n\ddc = -1/3 - 1/3 + 2/3 = 0, \n\dcc = -1/3 + 2/3 + 2/3 = 1, \n\ccc = 2/3 + 2/3 + 2/3 = 2.

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Most popular questions from this chapter

Why did Yukawa conclude that the particle mediating the strong force should have nonzero mass?

Pions are the lightest mesons, with mass some 270 times that of the electron. Charged pions decay typically into a muon and a neutrino or antineutrino. This makes pion beams useful for producing beams of neutrinos, which physicists use to study those elusive particles. In a medical application during the late 20 th century, accelerator centers installed "biomedical beam lines" to test pions for cancer therapy. In these experiments, pions attached themselves to atomic nuclei within cancer cells. The nuclei would literally explode, delivering a "pion star" of cancer-killing nuclear debris. Unfortunately, results were not as encouraging as hoped, and enthusiasm for this technique has waned. The quark composition of the negative pion is a. uud. b. \(d \bar{u}\) c. ud. d. \(c \bar{c}\)

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