Linear beam-beam tune shift estimates for the Tevatron collider

Author

Johnson, D.E.

Author_Institution

Fermi Nat. Accel. Lab., Batavia, IL, USA

fYear

1989

fDate

20-23 Mar 1989

Firstpage

857

Abstract

The Tevatron lattice has regions of nonzero dispersion which influence the beam size at the crossings locations. During six-on-six collider operation, each pbar bunch sees 12 crossings per revolution, producing large tune shifts. Estimates of linear beam-beam tune shift are given for various Tevatron lattices. These estimates are compared with those using the round beam approximation (RBA). Comparison between predictions and measured pbar tunes is made. For the Tevatron lattices studied (using typical beam emittances) the RBA always overpredicts the linear calculation. SYNCH calculations using nonlinear lenses due to the beam-beam interaction agree with the linear calculations. The dynamic beta effect is small for the injection cogged fixed target lattice. The results of the cogging experiment seem to agree in sign and order of magnitude with the predictions of the linear tune shift calculations

Keywords

beam handling equipment; beam handling techniques; proton accelerators; synchrotrons; SYNCH calculations; Tevatron collider; Tevatron lattice; beam emittances; dynamic beta effect; injection cogged fixed target lattice; linear beam-beam tune shift; nonlinear lenses; nonzero dispersion; pbar bunch; round beam approximation; six-on-six collider operation; Amplitude estimation; Colliding beam accelerators; Colliding beam devices; Equations; Forging; Gaussian distribution; Laboratories; Lattices; Particle beams; Protons;

fLanguage

English

Publisher

ieee

Conference_Titel

Particle Accelerator Conference, 1989. Accelerator Science and Technology., Proceedings of the 1989 IEEE

Conference_Location

Chicago, IL

Type

conf

DOI

10.1109/PAC.1989.73280

Filename

73280