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Title: Emittance growth, tune shift, and the bunched-beam, bunched-beam interaction

Abstract

While it is understood that the main limitation of beam lifetime in the Relativistic Heavy Ion Collider (RHIC) at Brookhaven is the emittance growth due to intra-beam scattering, it is important to evaluate and understand both the emittance growth and nature of the tune shift due to multiple beam-beam crossings of the bunched-beams of heavy ions. We note within RHIC, fully stripped /sup 197/Au ions (charge 79e/sup +/) will survive up to ten hours in the collider, with six beam crossings per revolution. With this motivation, we have developed a fully relativistic theory of both the averaged emittance growth and the averaged tune shift for the bunched-beam, bunched-beam interaction that is based on a convolution integral over the densities of the two interpenetrating bunches. In order to calculate this integral, we choose to work in a frame where one bunch of the collider is stationary, and the other is highly relativistic. This frame has the additional advantage that the microscopic heavy ion interaction becomes perpendicular in nature. In this frame the convolution integral acquires many simplifying and physically interesting features. 8 refs.

Authors:
;
Publication Date:
Research Org.:
Brookhaven National Lab., Upton, NY (USA)
OSTI Identifier:
6416980
Report Number(s):
BNL-41845; CONF-890335-64
ON: DE89010499
DOE Contract Number:  
AC02-76CH00016
Resource Type:
Conference
Resource Relation:
Conference: 13. particle accelerator conference, Chicago, IL, USA, 20 Mar 1989; Other Information: Paper copy only, copy does not permit microfiche production
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; BEAM-BEAM INTERACTIONS; INSTABILITY; BEAM BUNCHING; BEAM EMITTANCE; BROOKHAVEN RHIC; GOLD 197; HEAVY IONS; TUNING; ACCELERATORS; BEAM DYNAMICS; CHARGED PARTICLES; GOLD ISOTOPES; HEAVY ION ACCELERATORS; HEAVY NUCLEI; IONS; ISOMERIC TRANSITION ISOTOPES; ISOTOPES; NUCLEI; ODD-EVEN NUCLEI; RADIOISOTOPES; SECONDS LIVING RADIOISOTOPES; STABLE ISOTOPES; STORAGE RINGS; 430200* - Particle Accelerators- Beam Dynamics, Field Calculations, & Ion Optics

Citation Formats

Rhoades-Brown, M J, and Tepikian, S. Emittance growth, tune shift, and the bunched-beam, bunched-beam interaction. United States: N. p., 1989. Web.
Rhoades-Brown, M J, & Tepikian, S. Emittance growth, tune shift, and the bunched-beam, bunched-beam interaction. United States.
Rhoades-Brown, M J, and Tepikian, S. 1989. "Emittance growth, tune shift, and the bunched-beam, bunched-beam interaction". United States. https://www.osti.gov/servlets/purl/6416980.
@article{osti_6416980,
title = {Emittance growth, tune shift, and the bunched-beam, bunched-beam interaction},
author = {Rhoades-Brown, M J and Tepikian, S},
abstractNote = {While it is understood that the main limitation of beam lifetime in the Relativistic Heavy Ion Collider (RHIC) at Brookhaven is the emittance growth due to intra-beam scattering, it is important to evaluate and understand both the emittance growth and nature of the tune shift due to multiple beam-beam crossings of the bunched-beams of heavy ions. We note within RHIC, fully stripped /sup 197/Au ions (charge 79e/sup +/) will survive up to ten hours in the collider, with six beam crossings per revolution. With this motivation, we have developed a fully relativistic theory of both the averaged emittance growth and the averaged tune shift for the bunched-beam, bunched-beam interaction that is based on a convolution integral over the densities of the two interpenetrating bunches. In order to calculate this integral, we choose to work in a frame where one bunch of the collider is stationary, and the other is highly relativistic. This frame has the additional advantage that the microscopic heavy ion interaction becomes perpendicular in nature. In this frame the convolution integral acquires many simplifying and physically interesting features. 8 refs.},
doi = {},
url = {https://www.osti.gov/biblio/6416980}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Jan 01 00:00:00 EST 1989},
month = {Sun Jan 01 00:00:00 EST 1989}
}

Conference:
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