Do protons and neutrons have a wavefunctions?

In summary, protons and neutrons have a wave function that can be described by a spatial, spin, and isospin part. However, in nuclear physics, the wave functions are only used abstractly to determine the state and perturbations of the nucleons. All particles in the universe, including protons and neutrons, have a wavefunction. In atomic physics, the quantum properties of the nucleus can be ignored due to the much smaller mass of the electron.
  • #1
Quantom
25
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This might be a silly question, but do protons and neutrons have a wave function that they can be described by?
 
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  • #2
Yes they do, but I don't think people ever worry about actually writing them out in nuclear physics. Protons have a wavefunction comprised of a spatial part and a spin part (and also an isospin part if you treat them as indistinguishable). For some reason nuclear physicists also assume that the neutrons and protons are bound in a more or less Coulomb potential, so that they can use the shell model to describe the nucleus. But when I took nuclear physics, we only used the nuclear wave functions at an abstract level to determine if nucleons were in a singlet or triplet state, spin-orbit coupling perturbations, etc.
 
  • #3
In fact, every object in the universe has a wavefunction, I think.
 
  • #4
Yes, every kind of particle has a wave function.

When we are doing atomic physics we can ignore the quantum properties of the nucleus and treat the nucleus as a stationary classical collection of particles, the reason for this is that the electron is over 1000 times less massive then the nucleons, and so it behaves more quantum mechanically.
 

1. What is a wavefunction?

A wavefunction is a mathematical representation of the quantum state of a physical system, such as an atom or subatomic particle. It describes the probability of finding a particle in a particular location or state.

2. Do protons and neutrons have individual wavefunctions?

Yes, protons and neutrons have individual wavefunctions. They are described by the Schrodinger equation, which is a fundamental equation in quantum mechanics.

3. Can protons and neutrons be in multiple states simultaneously?

Yes, according to the principles of quantum mechanics, protons and neutrons can exist in multiple states simultaneously. This is known as superposition.

4. How are protons and neutrons' wavefunctions related to their behavior?

The behavior of protons and neutrons is determined by their wavefunctions. The wavefunction describes the probability of finding the particle in a particular state, such as location or spin.

5. How do protons and neutrons' wavefunctions differ from electrons' wavefunctions?

Protons and neutrons have different wavefunctions than electrons because they are made up of quarks, which have different properties than electrons. Additionally, protons and neutrons are composite particles, meaning their wavefunctions are more complex than that of a single electron.

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