Exploring the Relationship Between Nucleon Shape and Quark Number

In summary, spin 1/2 baryons like nucleons do not possess an electric quadrupole moment due to their flat, triangular arrangement of three quarks. However, spin 3/2 baryons like omega hyperons and delta resonances may have an electric quadrupole moment due to the presence of four quarks arranged in a tetrahedron. This is because four quarks can form a color-neutral hadron, unlike four antiquarks which would result in short-living tetraquarks. Additionally, while an electron and proton in a protium atom may be on a line at any moment, they do not have a preferred spatial direction at their ground state. Similarly, the He nucleus and two electrons
  • #1
jk22
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If a nucleon is let say made of 3 quarks then they rather build a triangle than a tetrahedron, so they are flat ? Why is there not 4 quarks ?
 
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  • #2
They don't have any particular arrangement. They don't even have a well-defined position in a proton (except from "everywhere in the proton", if you prefer that view).

4 quarks cannot form a color-neutral hadron. Two quarks and two antiquarks can, you get short-living tetraquarks in that case.
 
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  • #3
A proton and electron in a protium atom are on a line at any moment, except when the electron is at the cusp. But they do not have a preferred spatial direction at their ground state of 1s - over time, the electron can be in any direction. The He nucleus and two electrons are always on a flat triangle, but in their ground state (both 1s) do not have a preferred spatial orientation either.
 
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  • #5
Do spin 1/2 baryons such as nucleons possesses electric quadrupole moment?
Do spin 3/2 baryons such as omega hyperon and delta resonances possesses electric quadrupole moment?
 

1. What is a nucleon?

A nucleon is a subatomic particle found in the nucleus of an atom. It can be either a proton or a neutron.

2. What is the relationship between nucleon shape and quark number?

The shape of a nucleon is determined by the arrangement and movement of its constituent quarks. The number of quarks in a nucleon also plays a role in its shape, as the more quarks there are, the more complex the shape can be.

3. How do scientists study the relationship between nucleon shape and quark number?

Scientists use a variety of experimental techniques, such as scattering experiments and particle accelerators, to study the internal structure of nucleons and the behavior of their constituent quarks.

4. What have scientists discovered about the relationship between nucleon shape and quark number?

Through various experiments, scientists have found that the shape of a nucleon is closely related to the number and arrangement of its quarks. They have also observed that the shape of a nucleon can change depending on its energy and the interactions between its quarks.

5. How does understanding the relationship between nucleon shape and quark number contribute to our knowledge of the universe?

Studying the relationship between nucleon shape and quark number allows us to better understand the fundamental building blocks of matter and the forces that govern them. This knowledge can help us to further our understanding of the universe and its origins.

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