Comments on target solenoid optimization manuscript

1. Comments on target solenoid optimization manuscript HISHAM SAYED BROOKHAVEN NATIONAL LABORATORY Target group meeting 10/10/2013

2. FE buncher & phase rotator cell Target group meeting 10/10/2013

3. Acceptance in Longitudinal phase space Initial homogenous distribution in t-pz phasespace at the target location (z=0 m )  Long. Phase space at z=0 Initial scan points Scusseful points Target group meeting 10/10/2013

4. Acceptance in Longitudinal phase space • Initial homogenous distribution in t-pz phasespace before the first RF cavity in the buncher location (z=50 m)   • Initial time 20 ns width and pz from 0-1 GeV/c. (2.5E5 particles through the front end) • Acceptance windows are limited to • ~ 5 nsec time width limit for each bunch (if we assume Gaussian distribution 1 sigma ~ 1.6 ns). • mom. spread of ~ 70 MeV/c (if we assume a Gaussian distribution 1 sigma is ~ 23 MeV/c & dp/p ~ 0.07-0.1) Δt~ 5 ns Δp~ 70 MeV/c Initial scan points Scusseful points Target group meeting 10/10/2013 Long. Phase space at z=50

5. Phase Space Distributions (Short versus long taper) Longitudinal phase space at end of decay channel Long Taper 40 m Short Taper 4 m • The average time spread for the long taper is ~ 20 ns while for short one it is ~ 10 ns with higher core density in case of the short taper.  Target group meeting 10/10/2013

6. Dependence of time spread & transverse emittance on taper length Transverse emittance shaped by capture solenoid Time spread shaped by capture solenoid Transverse emittance decreases by 8% with solenoid taper length going 840 m Time Spread increase by 90% with solenoid taper length going 840 m Target group meeting 10/10/2013

7. Muon count within energy cut at end of decay channel MARS1510 Simulation: Counting muons at 50 m with K.E. 80-140 MeV Muon count at z=50 increases for longer solenoid taper Target group meeting 10/10/2013

8. Front End Performance μ+ only Baseline High statistics tracking of Muons through the front end Target group meeting 10/10/2013

9. Dependence of transverse emittance & Capture efficiency on Peak Filed Transverse emittance shaped by capture solenoid peak field B(at target)=5010 T Transverse rms emittance doubles as peak field decreases from 50 T  20 T Target group meeting 10/10/2013

10. Dependence of transverse emittance & Capture efficiency on Peak Filed Target group meeting 10/10/2013

11. Dependence of transverse emittance & Capture efficiency on Peak Filed Capture efficiency dependence of peak solenoid field z=0.0 Transverse emittance shaped by capture solenoid N(π+) Transverse emittance doubles as peak field decreases from 50 T  20 T Number of pions+muons+k within transverse 6 σ cut and Pz=0.0-1.0 GeV/c Target group meeting 10/10/2013

12. Muon yield versus end field including optimization of fe Impact of transverse focusing field on performance of FE: Constant solenoid filed in Decay Channel – Buncher – Rotator (matched to +/- 2.8 T ionization cooling channel) Bz(Target)=20 T 20% for every 1 T increase in constant field Baseline 60% more than baseline performance Muon yield versus end field Target group meeting 10/10/2013

13. STORED ENERGY Stored energy versus end field for one magnet FE Constant field magent (Weggel) B[z] Z [m] U [J] = (π/2μ0)(B2 R2)L Target group meeting 10/10/2013