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e-RHIC with non-scaling FFAG’s. Dejan Trbojevic. Non-scaling FFAG for eRHIC. Introduction to a concept of non-scaling FFAG Requirements for the eRHIC Arc single ring to accept 2.4-10 GeV electron beams 1.9 GeV Linac Going around detectors Matching the straights to arcs
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e-RHIC with non-scaling FFAG’s Dejan Trbojevic Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
Non-scaling FFAG for eRHIC • Introduction to a concept of non-scaling FFAG • Requirements for the eRHIC • Arc single ring to accept 2.4-10 GeV electron beams • 1.9 GeV Linac • Going around detectors • Matching the straights to arcs • Summary and required future work Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
What is the non-scaling FFAG? • The first one is presently being built in UK: “EMMA” • Orbit offsets are proportional to the dispersion function: • Dx = Dx*dp/p • To reduce the orbit offsets to +-6 cm range, for momentum range of dp/p ~ +- 60 % the dispersion function Dx has to be of the order of: • Dx ~ 6 cm / 0.6 ~ 10 cm • The size and dependence of the dispersion function is best presented in the normalized space and by the H function: • = Dx /xand = D’x x + x Dx x • with H: H = 2 + 2 Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
Basic properties of the NS-FFAG A . Particle orbitsB. Lattice Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
Basic properties of the NS-FFAG Muon acceleration • Concept introduced 1999 at Montauk meeting –Trbojevic, Courant, Garren) using the light source lattice with small emittance minimized H function • Extremely strong • focusing with small • dispersion function. • large energy acceptance. • - tunes variation • very small orbit offsets • - small magnets Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
Recent example of the muon acceleration collaboration with the Muon.inc Orbits magnified 100 times From 2.5 GeV- 10GeV Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
New Concept: Multipass Linac with racetrack FFAG Chicane 20 Cavities Chicane Non-scaling FFAG arc Non-scaling FFAG arc Chicane Chicane 20 Cavities Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
Layout of the RHIC tunnel Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
Possible locations of the magnets Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
Previous solution (PAC07) Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
Previous work on the non-scaling FFAG in RHIC tunnel Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
Layout of the Arc in RHIC Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
Design of the arcs – from the densely populated FODO cells for the 2 - 10 GeV electrons N=648 cells L=3.6965 m R1=381.23249 m LBD=1.6 m LQF=1.0 m For the dp/p=[0,-80 %] BBD = + 0.078 T BQF = + 0.199 T GF= 9.15 T/m GD= - 5.4 T/m @ electron energy=3.8 GeV Bmax=0.078 - 5.4 *(-0.048)=-0.34 T Bmax=0.199 +9.15*(-0.069)=-0.43T r=381.23 m 762.46 m Orbits are magnified 1000 times Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
Design of the arcs – from the densely populated FODO cells for the energy range of 2.4 -> 10 GeV electrons Orbits in the arc cell – there are 648 cells in the whole ring Bd/2 Bf Bd/2 44 mm 0.8 m 0.5483 m 1.0 m 0.8 m 3.696228 m Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
Design of the arcs – from the densely populated betatron functions vs. momentum Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
Design of the arcs – from the densely populated betatron functions vs. momentum Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
The linac – triplets with cavities Qf Qd Cavity Qd Cavity Qf 10 GeV 2.4 GeV 7.393 m Gf =15.8 T/m Gd=-10.4 T/m Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
Superconducting linac: Betatron Function dependence on energy Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
New concept of the linac – Tunes per Linac cell Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
Matching cell – arc to linac The matching cell length is: L=2 * 3.696 m = 7.393 m Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
Design of the large cells – match to the linac 1.0 m 1.0 m 0.8 m 0.8 m Orbit offset are identical to the arc orbit offsets 7.393069 m Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
Design of the arcs – Matching to the linac Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
Larger cells to match to linac from arcs Orbit offsets are zero Lp_cell Lp_cell Ln_cell Ln_cell q=qo= 2p/648 q=qo= 2p/648 q=-qo= -2p/648 q=-qo= -2p/648 Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
Creating the 4.6 m around the detectors 4.6 meters 4.6 m Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
The whole ring with two straight sections - linacs 229 meters Separation Of 4.6 meters Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
The whole ring with two straight sections - linacs 229 meters Separation Of 4.6 meters Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
The linac Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
Time of flight – Path length dependence on energy Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008
Summary: • The non-scaling FFAG concept could be applied for eRHIC within the existing tunnel. • The non-scaling FFAG arc has been constructed to accept in a single pipe electrons in energy range from 2.4 – 10 GeV with a circular 10 GeV electron orbit, maximum orbit offsets of ~70 mm for the lowest energies, and with the maximum magnetic fields of 0.4 T at the lowest energy. The magnetic field strengths for the 10 GeV electrons are Bmax< 0.2 T. • A new concept of energy recovery linac with small changes in the betatron functions for the six times in energy range has been presented for the first time. • Possibilities of bypasses and time of flight adjustments have been explored. • Matching between the arcs and straight sections for linac needs to be improved. • A special beam line to send electrons towards the detector need to be designed. Dejan Trbojevic EIC Collaboration Meeting, Hampton University, Virginia May 19, 2008