Developments and studies for the linac
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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

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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 MeV162 MeV158 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 MeV116 MeVRatio

0.5660.4561.24

1.2131.1241.08

0.6870.5131.34

2 30.5720.295 1.94

Number of Turns 2903601.24

foil thickness (g/cm2)100651.54

Effstrip (%)91.0 91.0 1.00

rms (mr)0.529 0.6930.78

x(n,95%, mm mrad)14.8 18.1 0.82

y(n,95%,  mm mrad)15.0 15.70.96

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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