Density distributions of tune shifts from space charge or beam-beam interactions in Gaussian bunches

Journal Article · Fri Aug 25 00:00:00 EDT 2023 · Physical Review Accelerators and Beams

DOI:https://doi.org/10.1103/PhysRevAccelBeams.26.080101· OSTI ID:1996887

Sen, Tanaji

The amplitude dependent tune shifts from either space charge or beam-beam interactions are calculated analytically with the inclusion of synchrotron oscillations and multiple interactions around the ring. Simpler formulas are derived under limits of bunches longer than the transverse sizes, equal and unequal transverse sizes, etc. This is used to derive semianalytical forms for the density distribution of the tune shifts. The tune spread and the density distribution are needed to understand beam decoherence or Landau damping with either interaction. The tune footprints due to space charge in IOTA are simulated using pyorbit and found to be in good agreement with the theoretical predictions.

• Research Organization: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: AC02-07CH11359
• OSTI ID: 1996887
• Alternate ID(s): OSTI ID: 1988458
• Report Number(s): FERMILAB-PUB-23-279-AD; arXiv:2306.09528; PRABCJ; 080101
• Journal Information: Physical Review Accelerators and Beams, Journal Name: Physical Review Accelerators and Beams Vol. 26 Journal Issue: 8; ISSN 2469-9888
• Publisher: American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
Beam instabilities
High intensity beam dynamics
Low-energy multiple-particle dynamics
Nonlinear beam dynamics