Do protons and neutrons have a wavefunctions?

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Discussion Overview

The discussion revolves around whether protons and neutrons possess wavefunctions, exploring the implications of quantum mechanics in nuclear physics and atomic physics. It touches on theoretical aspects and the practical application of these concepts in different contexts.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • Some participants assert that protons and neutrons do have wavefunctions, which include spatial, spin, and potentially isospin components.
  • One participant notes that in nuclear physics, the wavefunctions are often used at an abstract level, primarily for determining states and interactions rather than being explicitly written out.
  • Another participant claims that every object in the universe has a wavefunction, suggesting a universal application of this concept.
  • It is mentioned that in atomic physics, the quantum properties of the nucleus can be neglected, treating it as a classical collection of particles due to the significant mass difference between electrons and nucleons.

Areas of Agreement / Disagreement

Participants generally agree that protons and neutrons have wavefunctions, but there is no consensus on the practical implications or the extent to which these wavefunctions are utilized in different fields of physics.

Contextual Notes

The discussion does not resolve the complexities of how wavefunctions are applied in nuclear versus atomic physics, nor does it clarify the assumptions underlying the treatment of nucleons as classical particles in certain contexts.

Quantom
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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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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.
 
In fact, every object in the universe has a wavefunction, I think.
 
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.
 

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