Maximum tolerable space-charge tune shift in synchrotrons · revision history
Revision 2
Accepted · core change · record
Changes against revision 1:
- Title
- Maximum tolerable space-charge tune shift in synchrotrons
- Plain
- Rings tolerate only a limited spread of particle oscillation frequencies caused by space charge before losses grow; this limit is known only empirically.
- Precise · changed · core
- Revision 1: High-intensity synchrotrons operate with incoherent space-charge tune shift $\left|\Delta Q_{\mathrm{sc}}\right|$ up to approximately 0.2-0.5 over storage times of 1e3 to 1e5 turns. Derive, from the resonance structure of a given lattice and the periodic resonance crossing caused by synchrotron motion in a bunched beam, the maximal $\left|\Delta Q_{\mathrm{sc}}\right|$ compatible with emittance growth below 10 percent and loss below 1e-3 over $N$ turns, and compare with CERN PS and SPS, J-PARC and GSI SIS18 data.
- Revision 2: High-intensity synchrotrons operate with incoherent space-charge tune shift $\left|\Delta Q_{\mathrm{sc}}\right|$ up to approximately 0.2-0.5 over storage times of $10^{3}$ to $10^{5}$ turns. Derive, from the resonance structure of a given lattice and the periodic resonance crossing caused by synchrotron motion in a bunched beam, the maximal $\left|\Delta Q_{\mathrm{sc}}\right|$ compatible with emittance growth below 10 percent and loss below $10^{-3}$ over $N$ turns, and compare with CERN PS and SPS, J-PARC and GSI SIS18 data.
- Settled by
- A scaling law or simulation that matches measured limits in at least three rings with differing lattices and storage times.
- Kind
- well-posed
- Answer type
- value
- References
- (empty)
- Literature status
- open
- Status note
- (empty)
- Posed since
- (empty)
Decisions
- Accept · 2026-10-15 · record