July 8, 2019

Present Performance
and
Plans
Y. Ohnishi

94

Peak luminosity at Phase 3
Spring Run 2019

Phase 3 Spring Run 2019

June 28940 mAin HER

March 11
Beam stored
in HER.

June 28830 mAin HER

March 13
Beam stored
in LER.

June 9
QCS/ESRquenchPXD damaged

Resumption from ﬁreMarch 25
Collision started.

2

July 1
1.23x1034

Machine Parameters

July 1 08:58

July 1 1:48

July 1 1:26

June 20 19:10

βx* (mm)

80

80

80

200 / 100βy* (mm)

2

2

2

3

I LER / I HER (mA)

799.7 / 821.5

398 / 401

265 / 268

494.7 / 496.1

nb

1576

789

395

1576

Ib LER / Ib HER (mA)

0.507 / 0.521

0.504 / 0.508

0.671 / 0.678

0.314 / 0.317

ξy LER /ξy HER

0.0355 / 0.0197

0.0375 / 0.0213

0.0389 / 0.0220

0.0335 / 0.0189

Lsp x1030

29.5

32.0

24.8

30.7

L x1032

122.94

64.58

44.66

47.85

Deﬁnition of beam-beam parameter:Deﬁnition of Lsp:
3

Contents

Key issues limiting the current performance
Strategy to reach the design luminosity
β* squeezing
beam-beam parameters → detailed talk by Ohmi-sanstored beam currents
detector background → Nakayama-san's talk, Iisda-san's talk for injection
QCS quench, fast beam abort → Ohuchi-san's talk, Ikeda-san's talk4

Specific Luminosity and Beam-Beam Parameter

improved by
v-anglePhase 2The speciﬁc luminosity is improved by squeezing
the vertical beta function at IP.
almost constant !
The beam-beam parameter can be kept
even though we squeeze the beta at IP.
However, the ﬁnal design is ξy- = 0.08 at Ib+ = 1.4 mA.
We need ξy- = 0.04 at Ib+ = 0.7 mA.
ξy- = 0.022
5

Flip-Flop Phenomenachange ﬁll pattern from #789 to #1576

Continuous Injection Mode (CIM)

The ﬂip-ﬂop became mild
after optics corrections on June 29th.

Luminosity is improvedby increasing ver. emittancein HER

However, we always observed the oscillation(fast)of the ver. beam-size with X-ray monitor.

Beam size is unstable.
Flip-ﬂop ?

The emittance is one of the tuning parameters.
6

Luminosity Spikes

ECL luminosity monitor provides moving average for 20 sec.
The peak-to-peak is 5 % ~ 10 % ﬂuctuation

LumiBelle2 is a fast luminosity monitor.
The luminosity spikes are not coincident with the injection.

Vertical orbit oﬀset feedback (slow control)by using ver. beam-beam kick (canonical)

7

Beam-Beam Blow-up<latexit sha1_base64="g7sbIDct0a1aDhEY9Igg5Bws0pk=">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</latexit>⇤
y = 2 mmVer. beam size measuredby X-ray monitor.

I = 700 mA for LER and HER
L=1034HER
Non-collision<latexit sha1_base64="oPnQoct7stNJJ/kFUef/2bhHgd0=">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</latexit><latexit sha1_base64="Z+rz2Xl6b8K6pkRU4ne6msdkrb8=">AAACf3ichVHLShxBFD3TvidGR92IbhoHjQhpbvvABwiimyx9jQqODt2dcizsF909A+OgZJ0fcOFKQUWySP7BjT/gwk8ILhXcuPBOT4OoJN6iqk6duufWqSrTt2UYEd2mlIbGpuaW1rb0p/bPHZ2Zru610CsFlshZnu0FG6YRClu6IhfJyBYbfiAMx7TFurm3UNtfL4sglJ67GlV8seUYRVfuSMuImCpk+vKhLDpGoVr5erA9Mkva2MRh3impjqoWMlnSKA71PdATkEUSi17mAnl8hwcLJTgQcBExtmEg5LYJHQSfuS1UmQsYyXhf4ABp1pY4S3CGwewej0VebSasy+tazTBWW3yKzT1gpYpBuqFLuqdr+kV/6emftapxjZqXCs9mXSv8QufP3pXHD1UOzxF2X1T/9RxhB1OxV8ne/Zip3cKq68v7R/crM8uD1SE6pTv2f0K3dMU3cMsP1tmSWD5Gmj9Af/vc78HaqKaTpi+NZ+fmk69oRT8GMMzvPYk5fMMicnzuD5zjN/4oKeWLoilUT1VSiaYHr0KZfgaCQJIq</latexit>

Collision

Non-collision⇤y+ = 0.42 µm

LER⇤y+ = 0.11 µm

⇤
y

HER

= 0.35 µm<latexit sha1_base64="QAvLJm3WGp2T7jA8ITWsuqBWrY4=">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</latexit><latexit sha1_base64="R9OKWWbRta+l3AchgYtROSo4QCo=">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</latexit>⇤y= 0.2 µm

The blow-up in the LER is signiﬁcantly larger than the HER.
The HER vertical beam size is adjusted
by using HER emittance control knob (ver. dispersion)in order to equalize the beam size as much as possible.

Emittance (non-collision)
LER: 6.1 pm
HER: 20 pm

x14

x3
8

Emittance (collision)

Final design: εyLER: 88 pm(4.4 %)

LER: 8.6 pm

HER: 61 pm(1.6 %)

HER: 13 pm(εy /εx)Measurement of Bunch Length
H. Ikeda

Bunch length is important.

designdesign

5.3 mm @ 700 mA (#1576)

5.9 mm @ 700 mA (#1576)

9

Beam-Beam Parameter

LER: εy = 6.1 pm

HER: εy = 20 pm

XRM

LER: εy = 88 pm

2.5 x 1034

~0.066~0.076

HER: εy = 61 pm
1 x 1034

Streakif there is no beam blow-up....

~0.038~0.020Consistent with the observation.

ξy = 0.076 for Ib = 0.44 mA is too large ?
10

Improvement and Understanding of Luminosity Performance
Linear optical parameters :X-Y couplings at IP → adiabatic luminosity scan: OK, r2* is corrected by the skew quad. coils at QC1s.
Ver. dispersions at IP → adiabatic luminosity scan: OK
Ver. waist → adiabatic luminosity scan: OK
Orbit at IP (H-angle and V-angle) → need more precise optimization (0.1 mrad step, see Ohmi-san's talk)
Betatron tunes → adiabatic luminosity and background scan, however need more survey (ref. D. Zhou-san)Nonlinear optical parameters :Chromatic X-Y couplings at IP → adiabatic luminosity scan in HER : OK for (R3*',R4*'), but not yet done in LER
Chromatic Beta at IP → adiabatic luminosity scan : no strong response
Skew sextupole correctors at QCS → adiabatic luminosity scan in HER: OK, but not yet done in LER
Sextupole and octupole correctors at QCS → not yet done

Cap sigma measurements at low bunch currents with Beam-Beam scan
to check geometrical luminosity, vertical crossing-angle, off-momentum behavior, and cap bunch length11Vertical Angle at IP in LER
We made the vertical orbit bump to makethe ver. angle at IP in LER.

Luminosity is increases by 20 % with
Beam background is also reduced.

correction ofver. dispersion

correction ofver. dispersion

Lsp is bad for 2 mrad

H. Koiso12

Cap Sigma Measurements with Beam-Beam Scan
Y. Funakoshi, Y. Ohnishi, A. Morita, H. Koiso
We used one-cycle injection (Kaji-san);June 25, 2019
the injection is one time for each bucket.
In case of 789 bunches, it takes about 2 min for 6.25 Hz rep. to ﬁll all buckets.
The bunch current is adjusted by linac beam with RF-gun and FC STB to make a small bunch current.
Beam proﬁle is measured by LumiBelle2 (fast luminosity monitor) with ver. bump height or RF room phase scan.

The bunch current is less than 0.04 mA/bunchΣy* measured by ver. oﬀset scan
Beam-Beam blow-up
was observed
even though
0.04 mA/bunch.

Σy* (BB scan)

Σy* (Lum)Σy* (XRM)

σy+* (XRM)

σy-* (XRM)

0.393 μm

0.38 μm

0.378 μm0.234 μm

0.297 μm

consistent
with
each
other
13

Cap Sigma Measurements with Beam-Beam Scan (cont'd)Bunch length measurement
Σz measured by RF phase scan

In order to check vertical beam size/oﬀset
diﬀerence along z-coordinate
Σy* measured by ver. oﬀset scan
at RF phase of Δφ= -5 deg., 0 deg., +5 deg.

consistent with each otherIb+ / Ib- = 0.038 mA / 0.0507 mA

Σz (BB scan)Σz (Streak)σz+ (Streak)σz- (Streak)6.61 mm

6.58 mm

4.25 mm5.02 mmdeviation between RF phase oﬀset is small
14

Cap Sigma Measurements with Beam-Beam Scan (cont'd)
Vertical oﬀset scan with frequency shift (-400 Hz, -200 Hz, 0 Hz, +200 Hz, +400 Hz)
Vertical dispersion at IP

Chromatic X-Y coupling at IP

convolution of LER and HER

convolution of LER and HER

The chromatic X-Y coupling at IP is not so large.
The dispersion at IP is well corrected.
How about the second-order dispersion ?
15<
ref. Ohmi-san's talk for critical r1' and r2'

Beam Current
Max. Beam currents: LER ~ 800 mA and HER ~ 850 mA

LER lifetime ~ 20 min / HER lifetime ~50 min
The lifetime restricts the max. beam currents.

The injector capability limits the max. beam current in LER.
2-bunch injection and/or ~25 Hz rep. are necessary toincrease larger beam current.
16

QCS Diamond Sensors as Beam Background Monitor

BW

FW
HER

LER

17

Beam Background
QCS Diamond Sensor
In order to tune on CDC HV,
sum of BW and FW should beless than 12 mRad/s.
Tanaka's rule
HER injection background depends
on the horizontal tune.

BW

FC ACCFC STBFW

LER injection background also depends
on the horizontal tune.
Storage background becomes very highas increasing the LER beam current.

18

Beam Background in LER and HER
LER storaged beam is dominant.

HER injection depends on the horizontal betatron tune.

p2 = 5.8 x 10-5

p2 = 2.3 x 10-6

p2 = 2.0 x 10-5

p2 = 7.1 x 10-7

injectionnose

ｐ０＋ｐ２I2

LER + HER < 12 mRad/s requires LER < 700 mA for βy* = 8 mm and LER < 400 mA for βy* = 2 mm.
This rule comes from our experience
to turn on the CDC HV.
so-called "Tanaka's rule"

Lp = 2.5x1033

Lp = 6x1033

19

Beam Background due to Residual Beam Gas in LER

Loss Rate:

Loss rate becomes larger
as increasing of the beta productat QC1 and other places in the ring.

βy*

2

8

mm

βy,QC1

370.6

95.8

m

βy,D2V1

17.0

27.3

m

dQC1
When we squeeze the beta*,
the loss rate increases
as the result of the beta productincreases even though the same
beam current.

In order to achieve 1034,
ILER = 340 ~ 470 mA at βy* = 1 mm

13.5

mm

dD2V1 (calc)

2.1

2.7

mm

dD2V1 (TOP)

2.3

4.5

mm

dD2V1 (BTM)

-2.0

-4.5

mm

I LER (VXD BW+FW < 12)

400

700

mA

L (VXD BW+FW < 12)

6 x 1033

2.5 x 1033

cm-2s-1

VXD BW+FW < 12 mRad/s ?

L seems to be scaled by 1/βy* here.
20

Long-term Plan
A. Morita
βy* weighted Lsp
3.5 ab-1
2 x1035 cm-2s-1

Integrated Luminosity

beta squeezing

Peak Luminosity

Peak Beam Currents~1.8 A
1 year (52 weeks)

2 year (104 weeks)beta squeezing every month (~11 months to reach design beta*):β*y squeezing: 1.5mm -> 1.2mm -> 1.0mm -> 860μm -> 740μm-> 635μm -> 550μm-> 470μm -> 405μm -> 350μm -> 300μm
Assumption: the beam-beam parameter can be kept when the beta squeezing is performed,
21

Summary
The beta at IP can be squeezed down to 2 mm in the vertical and 80 mm in the horizontal
direction.
The specific luminosity is improved as decreasing the beta at IP.
The vertical beam-beam parameter can be kept to be ~0.02 at 0.67 mA bunch current even though
the beta squeezing is performed. The target is ~0.04 to accomplish 0.08 for 1.4 mA bunch current.
The peak luminosity is 1.23 x1034 cm-2s-1 at 800 mA / 820 mA (LER/HER).
Beam-Beam blow-up is observed, and also flip-flop phenomena. The vertical emittance without
collision is enough small when Σy* measurement and X-ray monitor are compared.
In order to find machine error to degrade luminosity performance, we measure Σy* and Σz byusing beam-beam scan at small bunch currents. No big error is not found so far.
Linear optical parameters are almost optimized. X-Y coupling, dispersions at IP, waist, ...
It is necessary to check nonlinear optical parameters, some of them are checked.
22

Appendix

23

Improvement of Specific Luminosity

2x10335x10331034

24

V-angleNonlinear Aberrations and Chromatic X-Y Couplings
Nonlinear aberrations

Chromatic X-Y couplings

green: px2py

Px2Py term is small
in the design (c(px2py) = 0.07 m)

r3' and r4' are measured by TbT
and enough small. (r3' = 300 m-1 r4' = 20)
r1' and r2' are diﬃcult to measure by TbT.

25

Skew Sextupole at QCS
40 T/m -> K2 = 1.7 m-2
QC2RE
QC1RE

IP

QC2RP

10 T/m -> K2 = 0.4 m-2

2.5 T/m -> K2 = 0.1 m-2

Hamiltonian of Skew Sextupolee
K2 3
H = As =
(y
p
6

2

3x y)
IP -> QC2RP<latexit sha1_base64="horVt5ljdMgpLraFHM04fksgi8Y=">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</latexit>

g2 3
As = (y
6

2

3x y)

g2 = (B⇢)K2{{ 2.734260, -3.480206, 0.022371, -0.018732},{ -0.787774, 1.368435, -0.013255, 0.009202},{ 0.015129, -0.011311, -0.568849, -0.494743},{ -0.013307, 0.007144, 1.730980, -0.252531}}<latexit sha1_base64="s5G6Q2Dpai9CNsiwgEx7oSmrxY8=">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</latexit><latexit sha1_base64="v/fMFb//sCs51jv0pRRdZ1o9Fxs=">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</latexit>~x = M x~⇤<latexit sha1_base64="GW/n5IP4k+zl0WcKE3Q38wkKyeI=">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</latexit>

IP -> QC1RE

K2 = 1coefficient

{{
{
{
{

1.079588,-0.615786,-0.000980,
0.000412,-1.501248,
1.782576,
0.000937,-0.000346,-0.000489,
0.001152,
0.921587,
0.574725,

0.000202},-0.000382},-1.320881},
0.261349}}

QC1RE
py*3

-0.384096

px*2 py*

1.488466

x*2 py*0.76975

IP -> QC2RE
{{
{
{
{

2.822264,-0.500603,-0.009919,
0.002742,-5.352622,
1.303750,
0.018274,-0.006273,-0.003650,
0.004173,-0.616102,
1.173520,-0.001791},-0.001274},-0.718735},-0.254078}}

coefficient

QC2RE

QC2RP

py*3

-0.061881-0.020183

px*2 py*

10.296074

2.996124

x*2 py*2.862423

1.849394

Dynamic aperture will be reducedby skew sextupole elements.

Cap Sigma Measurement28

Tune Scan

(1,4,0)

(2,2)

(2,4)

(2,5)

strong resonance line
Injection background is very high29Tune Scan
D. Zhoularge
reducedlarge
reduced30

Tune Scan

reduced
large

large
reduced31

Linear Optics

LER R2* (mm)HER R2* (mm)LER ηy* (mm)LER R4* (mm)LER Waist (mm)HER Waist (mm)HER ηy* (mm)

線形

＝

行列変換
32

What is the points ?

Beta y*Chromatic beta y* ?
L* : Kinematic term ? Nonlinear Maxwellian fringe ?
Squeezing/enlarge Beta̲y* ?
L* ~ 0.76 m / 1.2 m (LER/HER)

Piwinski Angle
Coherent beam-beam instability
Squeezing Beta̲x*?

Φ ~ 15 in Phase 3(80 mm)

Hourglass eﬀect
Crab-waist ?
Squeezing Beta̲x*?
Large emittance ?
33