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Douglas Higinbotham - 12 June 2013 Beam Energy Determination via Spin Dancing Review Spin Precession In The CEBAF Accelerator Two Hall Spin Dance Single Hall Spin Dance Study of systematics underway by SULI student

Beam Energy Determination via Spin Dancing

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Beam Energy Determination via Spin Dancing. Review Spin Precession In The CEBAF Accelerator Two Hall Spin Dance Single Hall Spin Dance Study of systematics underway by SULI student . Spin Precession At CEBAF. Example CEBAF Setup. - PowerPoint PPT Presentation

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Page 1: Beam Energy Determination via Spin Dancing

Douglas Higinbotham - 12 June 2013

Beam Energy Determinationvia Spin Dancing

• Review Spin Precession In The CEBAF Accelerator• Two Hall Spin Dance• Single Hall Spin Dance• Study of systematics underway by SULI student

Page 2: Beam Energy Determination via Spin Dancing

Douglas Higinbotham - 12 June 2013

Spin Precession At CEBAF

Page 3: Beam Energy Determination via Spin Dancing

Douglas Higinbotham - 12 June 2013

Example CEBAF SetupSelect a beam energy and Wien angle based on physics requirements of the Halls (63.5 MeV Injector Energy and 565 MeV Per Linac Per Pass)

• Machine setup with balanced or energy match linacs.• Hall C required polarization (GEP-III) and Hall’s A & B requested polarization.

Page 4: Beam Energy Determination via Spin Dancing

Douglas Higinbotham - 12 June 2013

Imbalanced Linacs

• With imbalanced the linacs, we were able to boost the polarization.• 10 MeV was removed from the North linac and 10 MeV was added to the South linac.

Needed to give Hall A & C high polarization without changing the beam energy for Hall B. (63.5 MeV Injector Energy and 555 MeV & 575 MeV Per Linacs)

Page 5: Beam Energy Determination via Spin Dancing

Douglas Higinbotham - 12 June 2013

Magic CEBAF Energy (2.12 GeV/pass)

A

B

C

South Linac

-37,5168°

37,5°

1st 2.12 GeV2nd 4.23 GeV3rd 6.35 GeV4th 8.46 GeV5th 10.6 GeV

1st Pass

-1

-0,5

0

0,5

1

-180 -130 -80 -30 20 70 120 170

Wien Angle (°)

Inje

cted

Lon

gitu

dina

l % o

f Po

lariz

atio

n Hall A, 1Hall B, 1

Hall C, 1

3rd Pass

-1

-0,5

0

0,5

1

-180 -130 -80 -30 20 70 120 170

Wien Angle (°)In

ject

ed L

ongi

tudi

nal %

of

Pola

rizat

ion Hall A, 3

Hall B, 3

Hall C, 3

4th Pass

-1

-0,5

0

0,5

1

-180 -130 -80 -30 20 70 120 170

Wien Angle (°)

Inje

cted

Lon

gitu

dina

l % o

f Po

lariz

atio

n Hall A, 4

Hall B, 4

Hall C, 4

2nd Pass

-1

-0,5

0

0,5

1

-180 -130 -80 -30 20 70 120 170

Wien Angle (°)

Inje

cted

Lon

gitu

dina

l % o

f Po

lariz

atio

n Hall A, 2Hall B, 2Hall C, 2

5th Pass

-1

-0,5

0

0,5

1

-180 -130 -80 -30 20 70 120 170

Wien Angle (°)

Inje

cted

Lon

gitu

dina

l % o

f Po

lariz

atio

n Hall A, 5Hall B, 5Hall C, 5

At 2.12 GeV per pass, the passes give full polarization the all three of the current halls.

Page 6: Beam Energy Determination via Spin Dancing

Douglas Higinbotham - 12 June 2013

Measurements of Angle Between Halls

• Doesn’t matter how accelerator gives the beam energy (balanced, imbalanced, off-crest, etc.)

• The electron g-factor is one of the most precisely measured values in physics, with its uncertainty beginning at the twelfth decimal place.

Page 7: Beam Energy Determination via Spin Dancing

Douglas Higinbotham - 12 June 2013

Energy By Precession Differences

Repeat this same result at 11 GeV has a factor of two better sensitivity; so can be better then 4 or 5E-4 level absolute.

Of course, Hall A and C give smallest errors since the opening angle between them is twice as large as A and B or B and C.

J. M. Grames et al., Phys. Rev. ST Accel. Beams 7 (2004) 042802.

Page 8: Beam Energy Determination via Spin Dancing

Douglas Higinbotham - 12 June 2013

Measurement of total precession• At 11 GeV, the beam processes ~20k degrees

before arriving in Hall A.• 2 MeV of beam energy change (balanced) is a

5 degree change in the precession.• Sine wave phase can be determined to the

degree level with Compton (~8 hrs)• That would be 9E-5 !! dE/E even with just a

single hall • BUT accelerator systematics have to be under

control (Summer project underway)

Page 9: Beam Energy Determination via Spin Dancing

Douglas Higinbotham - 12 June 2013

Energy From Total Precession

Nice agreement between the Hall A and C high polarimeters.

NOTE: The Hall A and C polarimeters receive more attention to systematics then the Hall B polarimeter due to the requirements of the experiments (e.g. Qweak, HAPPEX, etc.).

(e.g. possibility that there is a small angular misalignment of the Hall B polarimeter)

Even so, full spread these results is only 2 MeV ( 5648 +/- 1 MeV) which already 2E-4 level.

J. M. Grames et al., Phys. Rev. ST Accel. Beams 7 (2004) 042802.

Page 10: Beam Energy Determination via Spin Dancing

Douglas Higinbotham - 12 June 2013

New Spin Calculator AppSULI Student Gina Mayonado

Page 11: Beam Energy Determination via Spin Dancing

Douglas Higinbotham - 12 June 2013

Summary• Looking for multiple ways to determine the energy of the beam with high precision and accuracy.

• ARC Energy Measurements once fully operational during 6 GeV provided:o 5E-4 dE/E non-invasive o 2E-4 dE/E invasiveo 12 GeV Magnet Measurements have been completedo Magnets within 1E-4 of each other.

• Another technique that can hit this level of precision is spin dancingo Hall A & C Dancing minimizes systematic errors o Single Hall Dance at 11 GeV seems promising but systematically challenging