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Question 7
7. The following diagram gives information on the Standard Model of fundamental particles. (a) Explain why the proton and the neutron are not fundamental particles.... show full transcript
Step 1
Answer
The proton and neutron are not fundamental particles because they are composed of other particles known as quarks. In the context of the Standard Model, fundamental particles include quarks and leptons, which cannot be broken down into smaller components. As composite particles, protons and neutrons are made up of three quarks each, specifically two up quarks and one down quark (for protons) and one up quark and two down quarks (for neutrons). Thus, they qualify as hadrons, which are defined as particles made of quarks.
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This statement is correct because baryons are a specific subclass of hadrons that are made up of three quarks. While all baryons, such as protons and neutrons, are hadrons (which encompass any particles formed from quarks), there are other types of hadrons known as mesons, which are made from quark-antiquark pairs. Thus, while every baryon qualifies as a hadron, not every hadron can be classified as a baryon.
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Answer
The charge of the strange quark can be calculated based on the relationship that the total charge of the sigma particle is obtained from its quark content. Given that the charge of the up quark is (\frac{2}{3} e) and the charges of the other quarks must yield the observed charge of the sigma particles, the charge on a strange quark is found to be (-\frac{1}{3} e).
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Answer
The force that holds the quarks together in the sigma (Σ) particle is known as the strong nuclear force. This fundamental force is responsible for binding quarks together to form protons, neutrons, and other hadrons.
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Step 6
Answer
To find the mean lifetime of the Σ⁻ particle as measured by the stationary observer, we can use time dilation due to relativistic effects. The formula for time dilation is:
Where:
Plugging the values, we get:
Thus, the mean lifetime of the Σ⁻ particle as measured by the observer is approximately 3.4 × 10⁻¹⁸ seconds.
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