Discussion Overview
The discussion revolves around the question of why there are no nucleons composed of three up quarks (or three down quarks) with spin 1/2, despite the existence of Delta particles made from up and down quarks with spin 3/2. The scope includes theoretical considerations related to particle physics and quark composition.
Discussion Character
- Exploratory, Technical explanation, Debate/contested
Main Points Raised
- Some participants note that having three up quarks results in a totally symmetric isospin part of the wavefunction, which conflicts with Fermi statistics.
- It is argued that to satisfy color charge requirements, the three quarks must be of different colors (red, green, blue), leading to a totally antisymmetric color part of the wavefunction.
- Consequently, the spin part of the wavefunction must be totally symmetric, which necessitates a spin of 3/2.
- One participant questions the possibility of a symmetric color wave function and proposes an alternative symmetric combination, prompting further clarification.
- Another participant clarifies that hadrons must be colorless, which requires the quarks to form a singlet state under the SU(3) color group, thus necessitating a totally antisymmetric state.
Areas of Agreement / Disagreement
Participants generally agree on the constraints imposed by Fermi statistics and color charge requirements, but there is some debate regarding the implications of these constraints and the nature of the wavefunctions involved.
Contextual Notes
The discussion highlights the complexities of quark combinations and the requirements for color neutrality, but does not resolve the underlying assumptions about the nature of wavefunctions or the implications for particle existence.