- #1
jjshan
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Homework Statement
why the isospin wave function was not considered in quark model? only the others (flavour, color, space, spin) are considered?
jjshan said:please explain some thing more than that.
and the total wave function of baryons should be anti symmetric under the exchange of particles(fermions), then the combination of spin part and flavour part should be symmetric because color part is anti symmetric and spatial part is symmetric (note! here spatial wave function is product of spin, flavour, space and color. isospin is not consider.) what about the combination of spin part and isospin part interms of particle exchane?
a model ans said that combination of spin and isospin part should be symmetric, is that correct?
please explain me elaborately
jjshan said:thanks a lot.
could you explain me how the isospin is related with flavour in L=0 state?
if isospin part is symmetric then what about flavour?
1. What is isospin and how is it related to the quark model?
Isospin is a quantum number that describes the symmetry between different types of particles, specifically between protons and neutrons. In the quark model, isospin is used to classify particles into different families based on their charge and spin.
2. Why is isospin not considered in the quark model?
Isospin is not considered in the quark model because it is not a fundamental property of particles. Instead, it is a result of the strong nuclear force that binds quarks together in protons and neutrons. The quark model focuses on the fundamental properties of quarks, such as mass and spin, rather than the emergent properties like isospin.
3. How does isospin affect the behavior of particles in the quark model?
Isospin affects the behavior of particles in the quark model by determining their interactions with each other. Particles with different isospin values will have different probabilities of interacting and changing into other particles. Isospin also plays a role in the decay of particles and the stability of nuclei.
4. Can particles have different isospin values in the quark model?
Yes, particles can have different isospin values in the quark model. For example, the proton and neutron have different isospin values, even though they are composed of the same combination of up and down quarks. This is because they differ in their electric charge and spin, which are also considered in the quark model.
5. Are there any limitations to the quark model due to the exclusion of isospin?
The exclusion of isospin in the quark model does not significantly limit its usefulness. In fact, the quark model has been successful in predicting the properties and behaviors of many subatomic particles. However, it does not fully explain the behavior of particles with higher masses or in extreme conditions, such as in high-energy collisions. Including isospin in the model may help to address these limitations.