emittance growth from elliptical beams and offset collision at lhc and lrbb at rhic
DESCRIPTION
Emittance Growth from Elliptical Beams and Offset Collision at LHC and LRBB at RHIC. Ji Qiang. US LARP Workshop, Berkeley, April 26-28, 2006. Outline. Strong-strong simulation of elliptical colliding beams at LHC Offset beam-beam interactions at LHC Long-range beam-beam effects at RHIC. - PowerPoint PPT PresentationTRANSCRIPT
Emittance Growth from Elliptical Beams and Offset Collision at
LHC and LRBB at RHIC
Ji Qiang
US LARP Workshop, Berkeley, April 26-28, 2006
Outline
• Strong-strong simulation of elliptical colliding beams at LHC
• Offset beam-beam interactions at LHC• Long-range beam-beam effects at RHIC
Elliptical colliding beams at LHC
• Using Dipole first with doublet focusing• Focuing is symmetric about the IP• Less magnets and lower nonlinear fields at IP• Increase of luminosity
Computational Model
• Two collision points (no parasitic collisions)
• With 0.212 mrad half crossing angle
• Linear transfer map between IPs
• Tunes (0.31, 0.32)
• Beta* (0.25, 0.25) vs. (0.462,0.135)
• One million macroparticles for each beam
• 128 x 128 x 1 for strong-strong beam-beam force calculation
RMS Emittance Growth with Round and Elliptical Colliding Beams at LHC
X elliptical
Y elliptical
Y roundX round
Offset Beam-Beam Collisions at LHC
Beam energy (TeV) 7
LHC Physical Parameters for the Beam-Beam Simulations
Protons per bunch 10.5e10
* (m) 0.5
Rms spot size (mm) 0.016
Betatron tunes (0.31,0.32)
Rms bunch length (m) 0.077
Synchrotron tune 0.0021
Momentum spread 0.111e-3
Beam-Beam Parameter 0.0034
IP1
IP5
AB
C D E
F1
2
3 4
5
6
A Schematic Plot of LHC Collision Scheme
One Turn Transfer Map
M = Ma M1 Mb M2 Mc M3 Md M4 Me M5 Mf M6
M = M6-1 Mf M6 Ma M1 Mb M1-1 M1 M2 M3 M3-1 Mc M3 Md M4 Me M4-1 M4 M5 M6
Here, Ma and Md are the transfer maps from head-on beam-beam collisions; Mb,c,e,f are maps from long-range beam-beam collisions; M1-6 are maps between collision points.
• Linear half ring transfer matrix with phase advanced:
• 90 degree phase advance between long-range collision
points and IPs• 15 parasitic collisions lumped at each long-range
collision point with 9.5 separation
p
66.292;655.312x y
RMS Emittance Growth vs. Horizontal Separation at LHC(No Parasitic Collisions)
0
0
RMS Emittance Growth vs. Horizontal Separation at LHC(With 60 lumped Parasitic Collisions)
Long-Range Beam-Beam Effects at RHIC
• Study the effects of long-range beam-beam (LRBB) at RHIC for the coming wire compensation experiment and find the maximum signal-to-noise ratio setting subject to some limits
• The effects of LRBB subject to • Separation• Tunes• Chromaticity• Sextupole nonlinearity• etc
Beam energy (GeV) 100
RHIC Physical Parameters
Protons per bunch 2e11
* (m) 1
Transverse Emittance [ mm-mrad] 15
Rms bunch length (m) 0.7
Tunes case 1 (28.68,29.69) and (28.73,29.72)
Momentum spread 0.3e-3
Tunes case 2 (28.68,29.69) and (28.68,29.69)Tunes case 3 (28.73,29.72) and (28.73,29.72)
Computational Model
•4 x 4 linear transfer map (146 linear map between sextupole)
•Sextupole nonlinearity (144 thin lens kicks)
•Self-consistent strong-strong beam-beam
•1 Million macroparticle for each beam
•128 x 128 x 1 mesh grid
Averaged Emittance Growth Rate vs. Vertical Separation
Case 3
Case 2
Case 1
Vertical Emittance Growth without/with Chromaticity
With 6x6 linear map
With 6x6 linear map + chromaticity kick
Vertical Emittance Growth without/with Sextupoles
With 6x6 linear map
With 4x4 linear map + sextupoles
Summary
• Initial simulations indicate larger emittance growth from the elliptical colliding beams than the round colliding beams at LHC
• The effects of static offset beam-beam collisions on emittance growth is weak without parasitic collisions at LHC. It can be large with the including of parasitic collisions.
• LRBB at RHIC— Significant emittance growth for beam-beam separation below 4
sigmas— Emittance growth show some dependent on the machine tunes.
For some tunes, the emittance growth shows a linear dependent on separations; Other shows nonlinear dependence. However, beyond 6 sigmas, the emittance growth is no longer sensitive to the machine tunes.
— The effects of chromaticity depends on the machine tunes and becomes weaker for larger separation.
— Stronger sextupole strength might help to improve the signal-to-noise ratio at large separation.
Future Studies
• Study of emittance growth including parasitic collisions and nonlinear longitudinal map
• Study of emittance using an updated LHC lattice parameters with distributed parasitic collision model
• LRBB at RHIC— Including both chromaticity + sextupole + LRBB in the simulation— Systematic comparison with experiment data— Wire compensation