1 6D Cooling with a Rectilinear FOFO Channel Diktys Stratakis Brookhaven National Laboratory AAC Group Meeting July 18, 2013.

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1 6D Cooling with a Rectilinear FOFO Channel Diktys Stratakis Brookhaven National Laboratory AAC Group Meeting July 18, 2013

Outline & History At the MAP meeting it was decided to abandon the Guggenheim helical channel It was recommended to focus on the Rectilinear_FOFO or snake channel It was suggested to use the new 325 MHz/ 650 MHz/ 975 MHz sequence Deliver a front-to-end simulation by beginning of FY2014 Today, I will present preliminary results on 6D cooling with a Rectilinear_FOFO scheme 2

6D cooling baseline for a MC I start at the post-merger: I like to see if the R_FOFO scheme works Test the behavior of 325 MHz/ 650 MHz/ 975 MHz Define parameters needed This Study 3

Lattice Visualization TOP VIEW SIDE VIEW A rectilinear channel with tilted alternating solenoids and wedge absorbers SIDE VIEW 4

Simulation Details SIDE VIEW Lattice simulated with ICOOL 16 stages with progressive decrease of beta function Early: β=40 cm, Late: β=4.0 cm Coils tilted by 1.1 to 1.3 deg. to generate dispersion Liquid Hydrogen wedge for cooling. Absorber and rf windows included. Two frequencies: 325 MHz & 650 MHz Start with 100,000 particles All stages are in a single deck that can be easily adjusted if the input distribution changes 5

Lattice Visualization (Last Stage) Last 7 stages have the same configuration Coils are tilted by 1.1 deg. (not shown) 6

Lattice Details 7

Particle Tracking 8 Comparable (but not so good) as a Guggenheim

Quality Factor 9 Qmax=9.5 (R_FOFO) Qmax=11.0 (Guggen)

B-Field Requirement 10 The maximum peak B-field is 14.5 T with 196 A/mm 2 Nb 3 Sn seems a good candidate

Work Plan Diktys, almost finished the post-merge Diktys, will work on the pre-merge Bob, will work on the bunch merger Charge separator? Bob and Diktys? 11

Pre-Merge (Preliminary) Beam distribution after the phase-rotator of the 325 MHz front-end:

Lattice Performance 13