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Title: Analytic studies of the long range beam-beam tune shifts and chromaticities

Abstract

A formula is derived, which allows efficient analytical evaluation of the long range beam-beam tune shifts and chromaticities with amplitude. It assumes that the beams are infinitely short, oppositely charged, and with Gaussian transversal profile. The formula employs an infinite sum with favorable convergence rates, making it well suited especially for the long range case. Applications to the Tevatron are presented, including some proposed compensation schemes and their effect on the dynamic aperture.

Authors:
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Energy Research (ER) (US)
OSTI Identifier:
796041
Report Number(s):
FERMILAB-Conf-02/131-T
TRN: US0204656
DOE Contract Number:  
AC02-76CH03000
Resource Type:
Conference
Resource Relation:
Conference: EPAC 2002, Paris (FR), 06/03/2002--06/07/2002; Other Information: PBD: 2 Jul 2002
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; CONVERGENCE; EVALUATION; FERMILAB TEVATRON

Citation Formats

and Tanaji Sen, Bela Erdelyi. Analytic studies of the long range beam-beam tune shifts and chromaticities. United States: N. p., 2002. Web. doi:10.2172/794463.
and Tanaji Sen, Bela Erdelyi. Analytic studies of the long range beam-beam tune shifts and chromaticities. United States. https://doi.org/10.2172/794463
and Tanaji Sen, Bela Erdelyi. 2002. "Analytic studies of the long range beam-beam tune shifts and chromaticities". United States. https://doi.org/10.2172/794463. https://www.osti.gov/servlets/purl/796041.
@article{osti_796041,
title = {Analytic studies of the long range beam-beam tune shifts and chromaticities},
author = {and Tanaji Sen, Bela Erdelyi},
abstractNote = {A formula is derived, which allows efficient analytical evaluation of the long range beam-beam tune shifts and chromaticities with amplitude. It assumes that the beams are infinitely short, oppositely charged, and with Gaussian transversal profile. The formula employs an infinite sum with favorable convergence rates, making it well suited especially for the long range case. Applications to the Tevatron are presented, including some proposed compensation schemes and their effect on the dynamic aperture.},
doi = {10.2172/794463},
url = {https://www.osti.gov/biblio/796041}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Jul 02 00:00:00 EDT 2002},
month = {Tue Jul 02 00:00:00 EDT 2002}
}

Conference:
Other availability
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