Baryons and their quark constituents

In summary, the conversation discusses the properties of up, down, and strange quarks and their relationship to baryons. The question arises as to why a baryon like delta +1 has a spin 3/2 when it is composed of up, up, and down quarks. It is explained that spins are not additive in the sense of 1/2+1/2+1/2=3/2, and instead follow different addition rules based on spinors. It is also mentioned that a system of three spin 1/2 particles can have a total spin state of either 1/2 or 3/2.
  • #1
Atomos
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I have been given an assingment where I must show that the properties of the up, down and strange quarks follow from the properties of the baryons. I am just wondering why delta +1 (a baryon) has a spin 3/2 when it is, like a proton, composed of up, up, down. Aren't spins additive? and how do all of the 3/2 and 1/2 spin baryons follow from the combination of the up, down, and strange quarks alone? I can count only 10 combinations of those 3 types.
 
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  • #2
If you think spins are additive in the sense of 1/2+1/2+1/2=3/2 you would be wrong. And if you do think this you should be wondering why the proton has spin 1/2 rather than 3/2. A system of three spin 1/2 particles can be in a total spin state of either 1/2 or 3/2.
 
  • #3
spins are "additive" but they are not numbers, they are spinors. addition rules are different.. but still makes a lot sense, eg. spin +1/2 and spin -1/2 adds to spin 0 (this is just means the spins of the two constitutents are anti-align. so with 3 spins states, you can have [tex]\pm 1/2 \text{or} \pm 3/2[/tex] that means you get a spin 1/2 or 3/2 particle.
 

1. What are baryons?

Baryons are a type of subatomic particle that make up the majority of visible matter in the universe. They are composed of three quarks, which are elementary particles that come in six different flavors: up, down, charm, strange, top, and bottom.

2. How do baryons differ from other particles?

Baryons are distinct from other particles because they are made up of three quarks, while other particles such as mesons are made up of two quarks. Baryons also have a baryon number of +1, which means they are fermions (particles with half-integer spin) and are subject to the Pauli exclusion principle.

3. What are the different types of baryons?

There are many different types of baryons, including protons and neutrons (the most common baryons found in everyday matter), as well as more exotic particles such as delta baryons and lambda baryons. These particles differ in their specific combinations of quark flavors.

4. How do baryons interact with other particles?

Baryons interact with other particles through the strong nuclear force, which is one of the four fundamental forces of nature. This force is responsible for holding the quarks together within the baryon, and also for holding baryons together in the nucleus of an atom.

5. Are there any unsolved mysteries surrounding baryons?

Yes, there are still many unanswered questions and mysteries surrounding baryons and their quark constituents. For example, scientists are still trying to understand how and why the three quarks within a baryon are bound together, and there is ongoing research to discover new types of baryons and investigate their properties.

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