Calculating the Eta Particle's Composition

In summary, the Eta Particle, also known as the Eta Meson, is a subatomic particle composed of a quark and an antiquark, bound together by the strong nuclear force. Its composition is determined using the quark model, taking into account the properties of the quarks and the strong nuclear force. The Eta Particle is composed of one up quark and one anti-strange quark, giving it a net charge of 0 and a spin of 0, with a mass of approximately 547 MeV/c². The composition of the Eta Particle affects its properties, such as its mass, charge, and spin, which can be studied through experiments such as particle accelerators and detectors.
  • #1
yola
17
0
Why is the eta particle written as 1/sqrt(6) *(uu(bar) + dd(bar) -2ss(bar))?
Thanks
 
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  • #2
Because that's a definite-weight state of [tex]SU(3)[/tex] flavor. And by definite-weight state I mean an eigenstate of specific [tex]SU(3)[/tex] generators (specifically what are called Casimir operators, the analog of [tex]\vec{J}^2[/tex] for [tex]SU(2)[/tex]). It's analogous to working out the product states of two spin 1/2 particles, but a little bit more complicated because the algebra of [tex]SU(3)[/tex] has more generators than [tex]SU(2)[/tex].
 
Last edited:
  • #3
Can you please specify for me a reference to check?
Thanks
 
  • #4
Howard Georgi, "Lie Algebras In Particle Physics" is a standard reference.
 
  • #5
Great, Thanks
 

Related to Calculating the Eta Particle's Composition

1. What is the Eta Particle?

The Eta Particle, also known as the Eta Meson, is a subatomic particle that is composed of a quark and an antiquark. It is a type of meson, which is a particle composed of a quark and an antiquark bound together by the strong nuclear force.

2. How is the composition of the Eta Particle calculated?

The composition of the Eta Particle is calculated using a mathematical formula known as the quark model. This model takes into account the properties of the quarks and the strong nuclear force to determine the composition of the particle.

3. What are the components of the Eta Particle?

The Eta Particle is composed of one up quark and one anti-strange quark. This combination of quarks gives the particle a net charge of 0 and a spin of 0. It also has a mass of approximately 547 MeV/c².

4. How is the Eta Particle's composition related to its properties?

The composition of the Eta Particle, specifically the types of quarks it is composed of, determines its properties such as its mass, charge, and spin. These properties affect how the particle interacts with other particles and how it decays over time.

5. What experiments are used to study the Eta Particle's composition?

Scientists use a variety of experiments, such as particle accelerators and detectors, to study the composition of the Eta Particle. These experiments involve colliding particles at high energies and analyzing the resulting particles to determine their composition and properties.

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