Proceedings of the 5th Annual Meeting of Particle Accelerator Society of Japanand the 33rd Linear Accelerator Meeting in Japan (August 6-8, 2008, Higashihiroshima, Japan)

Longitudinal Particle Simulation for J-PARC RCS   ! "# $ " % &  '(*)+ , -. / 013 25 4687:9/ ;*<> =?   @AN:B O # P Q C<EDF CAHG <I% J K L3<EM 7S/  KEK J-PARC R 7 S5/  KEK  T  1VUXWY7Z\[^]H4_ ` a/JAEA J-PARC R1∗

3311121431221221234Abstract
The beam commissioning has been started at the J-PARC RCS. Some longitudinal bunch gymnastics has beentested toward the high intensity operation. It is nesessary to increase the bunching factor because space charge effectis large around the injection. The comparison between the beam test result and the particle tracking simulation isdescribed.

J-PARC RCS bdcfedg

-60

80
7060
50
4030
20
100-18060
180
Phase (deg)

20 turns-180-60∆p/p (%)

-180

10.5
0-0.5
-1

10.50-0.5-1-180-60

Number of particles

80706050403020100-180∆p/p (%)

10.50-0.5-1

Number of particles

Rapidr J-PARC/HwvxHCyclingyz{,}Synchrotron|~87  (RCS)  :q 2007*
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  H:*  * 5m¡>¢8£:¤*t¥¦  §'  u  u /w  ¨  © ª «v¬ ­v®¯° ± ² ³Y´µ¶ ¡¸· ¹ º » IÃ ¿É ¾¤ Ê¿  181 MeV À RCSÁ ÂÃÄ q 75 ¼½H°  ¯LinacÌ Ñ}t ÅÒ´ ¥ ª «  ¥Í  [1]ÅÆ8ÎÇ{Ï È  À ÁÂ ÃÄ ¥ 7EË5ÐÓIv¾E¤   u /w  q¸Ô ' ¸Ú}»  §Û  ÉH
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∆p/p (%)

INTRODUCTION

Number of particles

1.

hji kml g npo

80706050403020
100-18060 turns60180
Phase (deg)

40 turns

60180
Phase (deg) 3:    Intermediate pulse
-6060
180
Phase (deg)

-6060
180
Phase (deg)-6060180
Phase (deg) 3  RCS   Intermediate pulse !"#%$&('*),+-.0/%1230
Bpulse "7698:),+ 3;< ,=> 4*5?@&A IntermediateBC%D*E"FG <H IVWYJXZKMW L:8 Intermediate pulse <:-ON` PQMR%ST3UB
Þàß
B[\"] ^D:_"$ Tabdce%gfh 8 Intermediatepulse &F idjCk:JTK0 4&50l*mV n *o`:zpTqrst^0lu ` 3 L&TvB
B?sB,wxy @*Af%{i%JK(6O|~} RCS 
3,:
s
,|

0u,%r 30QR&op `0 {9 h < 3 s;T< á 1: Linac ¶ RCS  u / á 2:É*RCS'&08MB*?Bäæå*ç
w%xy V @&A -T,0i~jLs{6i hs ivcw â¸ã :Û Ü S5/7 ª« iT^&á 1 t Linac  ¿¾E¤  u /*w ¶ RCS t ª«è¾  =T> ? @&A BO%&vB?B,w%xy V @&AMTh /*wz4.7"YX¤6C£ K¥¦ %s:< ^K00si¡": 'ã ¸é ¨  RCSï ê /Wë7 ~YÜðW¤ / q u 2   · â¸m
W

î

|3
¢BwT%k U§¨©ZA UsªB&< kJìíº
ªm«¾¤¥ Í  ¶¸ñ òó  á 1» I Linacð t  q  324 MHz K:«%¬76CK L:8:­®¯OA °¸ ±²³ µ´%¶ < '¹%^,K*«%ºT$  RF 5ô t » Ý Micro pulse ¿¾E¤ Ü RCS 30,U §O¨ ©µAUªOB&*·
Micro pulse

Extraction

~1ns

top

3ns
(Linac RF wave length)Intermediate pulse~

Acceleration

ns

500µs

2.131µs(RCS revolution period)

Macro pulse

234 turns

bottom~500µs

40ms(RCS Acceleration period)

Injection
Start

InjectionEndõ «m¾ö¤ ¸© tq · Micro pulse {¹÷  |øzù ª:/  RCS  RF W îï tIú ìüû Intermediate pulse
2 . BUNCH MANIPULATION AT INJECpulse t¹÷  ¥5ª «   ¥Í E Linacq '  Intermediate
TION Ô {500µs û  ´   ñ  á» 2 t » Macro¶ ý ìpulseV @A"t{e$ < ¡d06»K,-*µ.
v
äþÙ
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ªt RCS' £  Ý¥ Û ÉBM?
:BwTxyÑmÒ ª ««Ü S5H
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-358-

Proceedings of the 5th Annual Meeting of Particle Accelerator Society of Japanand the 33rd Linear Accelerator Meeting in Japan (August 6-8, 2008, Higashihiroshima, Japan)

Gap voltage (kV)ð  ñ  *7¤ ·¬¥   Y¦ÜD¦  Ç §&¨ © ª «"¬.­Y®X¯d°²±;³µ´¶9·¸7¹Jº9»5¼,½ ¤7¾¿ (d) ½,À&ºÁ;°Â½ 2 Ã Ä.ÅÆ ¿HÇDÈ § È9ÉDÊÌË"Í Æ 4È § È9É ¶.Î;Ï Ê φ¦"Ü&Ð Ý(Ñ(Þ ÒÔÓ ®C­ÕÖ­ ¤(×,ØÙ¿.ÇD½7Õ5Ö5­ © ¤5Ú,Û¿ßà;¿Há;¿.à5â"ãäåiæ ¯dçéè¹<Ö;Áh°C½9¹Yº(êëD¶iì"íî®X».±

150

100

2500-50

Potential well (MeV)

10.5
0-0.5
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70
60
50
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100-18010.5
0-0.5-15(a) Fund.
(b) Fund.+2nd 50%(c) Fund.+2nd 80%(d) Fund.+2nd 80%+φ243-180

2-60

80
70
60
50
40
30
20
100-180

10.50-0.5-160
180Phase (deg)

20 turns-60

10.50-0.5-160
180
Phase (deg)-180-60

10.50-0.5-1-180-60

80
70
60
50
4030
20
100-18060 turns

10.50-0.5-160180
Phase (deg)

40 turns-60∆p/p (%)

150

Phase (deg)Number of particles

100∆p/p (%)

50∆p/p (%)

0

Number of particles-50∆p/p (%)-100∆p/p (%)-150

Number of particles-150∆p/p (%)

-100

60
180
Phase (deg)60180Phase (deg)

-60

60
180
Phase (deg)-180-6060
180
Phase (deg)

80
70
60
50
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Phase (deg)60180Phase (deg)

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80
70
60
50
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40 turns
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60
180
Phase (deg)60180Phase (deg)Number of particles-180

Number of particles

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Number of particlesPhase (deg)

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Phase (deg)80706050403020100-180-60-6060
180
Phase (deg)60180Phase (deg)∆p/p (%)

10.50-0.5-1-180

80
70
60
50403020100-180-60-6060
180
Phase (deg)60180Phase (deg)Number of particles-180

Number of particles∆p/p (%)

10.5
0-0.5-1

Number of particles∆p/p (%)

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60 turnsnPZ i`3 By :)A^z{ ( ` {A | V U+}U~(3P X 9 Y
D & m.lPP 9 t^ n ` 9 +F/& n! `u# 9 AF>AP z^!?
l?V (Wu8 %C 3Fx 9 CBX D & :S;K<(=o ?(: @KA %!% H t . 3
á 5:   Ä Ç R z}[ ª «  BD)9 +.E^G4#( 9 V ?(Wu % v t l T -T  `¡^3'¢ 1 n £ 97¤¥ x¦ R((F? A P nÜ;ñ¶Ò}W774S8/9
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; ¥:Û ÉÜ S{/H7 ªt «   &¢ <ì ,µ D¶  ðt  ´HÇ Ò R ¤   m.l ` tSu# Macrom®lv
T? AK500­F?
µ  ý ì t ¨ µ ¶   Wvîï ç."5v ∆p/p  T 560 ns x 3'«¬ pulse ¾ ×{Ø Ì  ä55 t. Í µ ¶ ð  ñ  &  A x¦ R >4?UA  n°>±*+.muE l tS #e¯²3  234A.³9Ä¶V ? 9FW¶´ ·  n T 5 mA xµ  9 x J 3 RCS % T 4 × 10
,É;D /  ð ú Ç ÝR ¥ zmÍ [ >q Ï7   9  RF ä ª ô « Ù u t /HÄ w Ç R  z ppp
(:U&@ %AC9!BPuD# ^BPD & : ; < `=®?[   ´    " Î  ñ >Ñæ  " Ä Ç R z[§ ;   ú ª«5. ¸¹ & m l 3 ¦ R>>C?UA  [ 9 X + ACAG (& 3t8uV w ð ¹  îï 7¡"¢ t ¡ £Ý¥   ì Ï& z?T^:U; < =®?:U@ A x !ºi®» x a l t .#
1
0.5
0-0.5
-1-180-6060180Phase (deg)

80
70
60
50
40
30
20
100-180-6060
180
Phase (deg)[2]12-359-

0.45
0.35

0.4

0.3

Experiment

0.25

0.3
0.2

0.25

0.2

0.2

Simulation

0.15

Simulation

w/o φ2 offset

0.15

0.1

0.15

0.1

(a) fund.
2000.05400600800001000(b) fund.+2nd 80%
200

400

600

8000.35

0.1

with φ2 offset

0.5

0.45

Experiment

0.4

1000

Turns
Bunching factor

Bunching factor

Turns
0.5

0.45

0.3

Experiment

0.35

0.25

000.5

0.45

0.4

0.05

Tune shift

0.5

Bunching factor

Bunching factor

Proceedings of the 5th Annual Meeting of Particle Accelerator Society of Japanand the 33rd Linear Accelerator Meeting in Japan (August 6-8, 2008, Higashihiroshima, Japan)

Experiment

0.05

0.4

0.35

Simulation

0.3

0.25

Simulation

0.3¾ 9: 2 ÃÄÅÆM N)O PQ]R Ê   C Ü R ±
000.2

0.2

0.15

0.15

0.1

0.1

0.05(c) fund.+2nd 80%+∆p/p 0.2%0.05

200

400

600

800

1000

Turns

0.25(d) fund.+2nd 80%+∆p/p 0.2%+φ2¿ w Þ X ×&Ø ,½ - Ö i& ã äRCS
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0.25 KL[1] “Accelerator Technical Design Report for High-intensity(b) (a)+2 ÃÄ7Å&Æ 80 %0.3 KLProton Accelerator Facility Project, J-PARC”, KEK(c) (b)+ ∆p/p = −0.2 %0.4 KLReport2002-13, 2003
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[2] M. Yamamoto et al, “Longitudinal Beam Dynamics(a) å Ó ·(d)
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00200

400

600

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-360-

SUMMARY