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Comments on target solenoid optimization manuscript. HISHAM SAYED BROOKHAVEN NATIONAL LABORATORY. Target group meeting 10/10/2013. FE buncher & phase rotator cell. Acceptance in Longitudinal phase space. Initial homogenous distribution in t-pz phasespace at the target location (z=0 m ) .

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comments on target solenoid optimization manuscript

Comments on target solenoid optimization manuscript

HISHAM SAYED

BROOKHAVEN NATIONAL LABORATORY

Target group meeting 10/10/2013

fe buncher phase rotator cell
FE buncher & phase rotator cell

Target group meeting 10/10/2013

acceptance in longitudinal phase space
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

acceptance in longitudinal phase space1
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

phase space distributions short versus long taper
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

dependence of time spread transverse emittance on taper length
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

muon count within energy cut at end of decay channel
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

front end performance
Front End Performance

μ+ only

Baseline

High statistics tracking of Muons through the front end

Target group meeting 10/10/2013

dependence of transverse emittance capture efficiency on peak filed
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

dependence of transverse emittance capture efficiency on peak filed1
Dependence of transverse emittance & Capture efficiency on Peak Filed

Target group meeting 10/10/2013

dependence of transverse emittance capture efficiency on peak filed2
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

muon yield versus end field including optimization of fe
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

stored energy
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

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