Quantum Ground State and Minimum Emittance of a Fermionic Particle Beam in a Circular Accelerator

Details Quantum Ground State and Minimum Emittance of a Fermionic Particle Beam in a Circular Accelerator Quantum Ground State and Minimum Emittance of a Fermionic Particle Beam in a Circular Accelerator

2001-02-20

arxiv.org/abs/physics/0102064v2

Physics

Accelerator Physics

6 Pages, 1 figure

Scientific paper

In the usual parameter regime of accelerator physics, particle ensembles can be treated as classical. If we approach a regime where $\epsilon_x\epsilon_y\epsilon_s \approx N_{particles}\lambda_{Compton}^3\$, however, the granular structure of quantum-mechanical phase space becomes a concern. In particular, we have to consider the Pauli exclusion principle, which will limit the minimum achievable emittance for a beam of fermions. We calculate these lowest emittances for the cases of bunched and coasting beams at zero temperature and their first-order change rate at finite temperature.

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