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Developments and Studies for the Linac. D. Raparia 11/02/2006 APEX 2006 Workshop. Outlines. Energy spread reduction of polarized proton from Linac (AP issue) Injecting polarized proton at 116 MeV (Reliability & Cost issue). Energy Spread Reduction of Polarized Proton from Linac.

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developments and studies for the linac

Developments and Studies for the Linac

D. Raparia

11/02/2006

APEX 2006 Workshop

outlines
Outlines
  • Energy spread reduction of polarized proton from Linac (AP issue)
  • Injecting polarized proton at 116 MeV (Reliability & Cost issue)
energy spread reduction of polarized proton from linac
Energy Spread Reduction of Polarized Proton from Linac
  • 1989 tech note (Brennan,Ahrens,Alessi)

dp/p =  0.14% (full max ?)

  • 1999 Down HEBT (0.5 mA H-)

dp/p =  0.16% FWFM

 0.076 FWHM

  • 2000-2004

dp/p =  0.067 to  0.07 FWHM (polarized proton)

  • Can we reduce it ?
  • Do we want to reduce it ?
energy spread as function of t8 t9 phases parmila calculation
Energy Spread as function of T8 & T9 Phases (PARMILA Calculation)

E

Operating

0 

360 

Tank 8

Tank 9

0 

360 

measurement in hebt 1999 i 0 5 ma h
Measurement in HEBT1999 (I=0.5 mA H-)

PARMILA

p/p=  0.015%(rms)

Measurement

p/p=  0.080% FWFM

p/p=  0.053% FWHM

T8 & T9  +180 

T=158 MeV

=0.517, =1.168

=0.604

2 3=0.426

PARMILA

p/p= 0.11%(rms)

Measurement

p/p=  0.160% FWFM

p/p=  0.076% FWHM

Normal Operating phase

T=200 MeV

=0.566, =1.213

0.687

2 3=0.572

Measurement

p/p=  0.088% FWFM

p/p=  0.053% FWHM

T8  = +180

T=162 MeV

=0.522, =1.173

=0.612

2 3=0.440

consequences of lower energy
Consequences of Lower Energy
  • Space charge tune spread

Pulse length 350s,I=0.5mA=> N=1.1 x 1012; x= y=1.0 cm, coasting beam

@200MeV=0.007;@162MeV=0.009;@158MeV=0.0097

  • Emittance growth due to foil scattering

Foil Thickness 100 g/cm2. ; 350 turn injection

LTB: x(n,95%)=6.87, y(n,95%)=13.64;

Beta function at injection: x=10.9 m, y=4.9 m

200 MeV 162 MeV 158 MeV

rms (mrad) 0.529 0.643 0.658

x(n,95%,  mm mrad) 14.8 18.6 19.1

y(n,95%,  mm mrad) 15.0 15.8 15.9

Effstrip(%) 91.0 94.6 94.9

  • Depolarization due to emittance growth (?)
  • RHIC luminosity

may not be effected, we do transverse and longitudinal scrapping in Booster

lower energy injection into booster
Lower Energy Injection into Booster
  • BLIP run at 116 MeV with last four tanks off
  • If we run polarized proton at the 116 MeV:

+ Linac reliability will increase (9/5)

+ Linac operation cost will decrease

only 5 RF system instead of 9

$33,705 +$110,875=$144,580 for 10 weeks

Power Tube

- Emittance growth due to higher multiple scattering angle at foil

- Depolarization due to higher emittance (?)

space charge tune spread
Space Charge Tune Spread

=0.5 N r0 C/(422 3 y(x+ y))

N=1.1 1012, r0=1.54 10-18, C=200m

x= y=1.0 cm, =5.2, coasting beam

200 MeV = 0.007, 2 3 = 0.572

116 MeV = 0.014, 2 3 = 0.295

emittance growth due to multiple scattering at foil
Emittance Growth due to Multiple Scattering at foil

LTB: x(n,95%)=6.87, y(n,95%)=13.64;

Beta function at injection: x=10.9 m, y=4.9 m

200 MeV 116 MeV Ratio

 0.566 0.456 1.24

 1.213 1.124 1.08

 0.687 0.513 1.34

2 3 0.572 0.295 1.94

Number of Turns 290 360 1.24

foil thickness (g/cm2) 100 65 1.54

Effstrip (%)91.0 91.0 1.00

rms (mr) 0.529 0.693 0.78

x(n,95%, mm mrad) 14.8 18.1 0.82

y(n,95%,  mm mrad) 15.0 15.7 0.96

p/p (%) (MWHM) 0.07(Meas) 0.07 (cal) 1.00

conclusions
Conclusions
  • Energy spread reduction of polarized proton from linac can be reduced but at lower energy
  • Injecting polarized proton at 116 MeV, linac becomes more reliable (9/5) and one can save about $145K for 10 week run for power and tube cost
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