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

Conference · Sun Jan 01 00:00:00 EST 1989

OSTI ID:6416980

Rhoades-Brown, M J; Tepikian, S

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.

• Research Organization: Brookhaven National Lab., Upton, NY (USA)
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 6416980
• Report Number(s): BNL-41845; CONF-890335-64; ON: DE89010499
• 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

Related Subjects

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