3
COUPLING INSTABILITY IN HIMAC SYNCHROTRON T.Uesugi A) , K.Noda A) , S.Shibuya A) , E.Syresin B) , I.Meshkov B) , T.Fujisawa A) , D.Tann A) , H.Uchiyama A) , S.Ninomiya C) , Y.Hashimoto D) A) National Institute of Radiological Sciences (NIRS), 4-9-1 Anagawa, Inage-ku, Chiba 263-8555 B) Joint Institute for Nuclear Research (JINR), Dubna, Moscow region, 141980, Russia, C) Research Center of Nuclear Physic (RCNP), Oasaka University, 10-1 Mihogaoka, Ibaraki-shi, Osaka 567-0047 D) High Energy Accelerator Research Organization (KEK), 1-1 Oho, Tsukuba-shi, Ibaraki 305-0801 Abstract Coupling resonance was observed at operating points near to =1. The coherent instability was developed at a high-density electron-cooled beam, when the betatron tune was near the resonance line. The instability was suppressed by applying an RF-knockout to reduce the peak density of the beam. The coupling strength was measured without electron-beam. There were residual components of the xy-coupling in the absence of the electron beam. The coupling strength was measured in different methods, with and without cooler-solenoid. HIMAC 1. HIMAC [1] [2] Ar xy 2 xy 3 2. xy [3, 4] (1) [5] xy (1) (2)xy HIMAC SBPM [6] (3) xy (3)(1) HIMAC xy E-mail: [email protected] -0.5 0 0.5 -0.4 -0.2 0 0.2 tune difference Q x -Q y beam axis φ(πrad) C 0 = -0.016 -0.008 -0.004 1: 2.1 HIMAC xy SBPM xy 1 0 0.01 [7] COD COD 1cm 2.2 xy Proceedings of the 1st Annual Meeting of Particle Accelerator Society of Japan and the 29th Linear Accelerator Meeting in Japan (August 4 - 6, 2004, Funabashi Japan) 435

COUPLING INSTABILITY IN HIMAC SYNCHROTRON - KEKbeam-physics.kek.jp/mirror/lam29.lebra.nihon-u.ac.jp/Web... · 2004. 10. 12. · COUPLING INSTABILITY IN HIMAC SYNCHROTRON T.Uesugi

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Page 1: COUPLING INSTABILITY IN HIMAC SYNCHROTRON - KEKbeam-physics.kek.jp/mirror/lam29.lebra.nihon-u.ac.jp/Web... · 2004. 10. 12. · COUPLING INSTABILITY IN HIMAC SYNCHROTRON T.Uesugi

COUPLING INSTABILITY IN HIMAC SYNCHROTRON

T.Uesugi� A), K.NodaA), S.ShibuyaA), E.SyresinB), I.MeshkovB),

T.FujisawaA), D.TannA), H.UchiyamaA), S.NinomiyaC), Y.HashimotoD)

A)National Institute of Radiological Sciences (NIRS), 4-9-1 Anagawa, Inage-ku, Chiba 263-8555B)Joint Institute for Nuclear Research (JINR), Dubna, Moscow region, 141980, Russia,

C)Research Center of Nuclear Physic (RCNP), Oasaka University, 10-1 Mihogaoka, Ibaraki-shi, Osaka 567-0047D)High Energy Accelerator Research Organization (KEK), 1-1 Oho, Tsukuba-shi, Ibaraki 305-0801

AbstractCoupling resonance was observed at operating points near to

� � � � �=1. The coherent instability was developed

at a high-density electron-cooled beam, when the betatron tune was near the resonance line. The instability wassuppressed by applying an RF-knockout to reduce the peak density of the beam. The coupling strength was measuredwithout electron-beam. There were residual components of the xy-coupling in the absence of the electron beam.The coupling strength was measured in different methods, with and without cooler-solenoid.

HIMAC � � � � � � � � � � � � � � � �1 . � � � �

HIMAC[1] � � � � � � � � ! " # $ % & ' [2] () ! * Ar + , - . / 0 1 2 3 4 5 ( 6 7 8 * 9 : ; # <% = > ? @ ? A B ( C D * E * F G H I J . / 0 > KL M N O P Q R > S T U M * V : 1 W X Y xy Z [ (\ : I * ] / ^ � � � _ ` 1 a b ( 9 c 7 ! # $ %

. / 0 1 d e $ f � g h I " ! * Vi j G Y # k l m 2 n � ! " # $ % . / 0 > 7! 9 o 1 xy Z [ ( T Q I * Z p ( q r I # m 3 n G

S T U M * . / 0 1 O P Q R 9 $ % s t u v w � xN � y z { / � | � Z p # U } � O P Q R 1 ~ � (� � V

2 . � � � � � � �� � 7 xy Z [ ( � � ] / ^ � � � _ ` Y # � � �� � � / 6 � ( ) ! * � � � x 8 " � � M " F [3, 4] #� � u / � 1 � z / � # � � ] � � w > � M � M �� � � � D } M " ! N V Z [ 1 � U Y   � ¡ / ^¢ £ ¤ ?

¥ ¦ § � § � ¨ © �¨ ª

� ¨ © �¨ «

¬ © ­ ®� � ¯

§ � � ®� ¬ ¯

§ � ° ± ² ³ ¯ ´ µ ¶ · � µ �(1)

� x 8 " � k N [5] Vxy Z [ 1 � U 1 T Q � Y # (1) Z [ � � � � 1 ` �� G . / 0 1 � / { � � u / � 1 � z / � ( T Q �

N � # (2)xy � � 1 _ 1 � 7 F ( T Q � N �> E N V U } � # HIMAC � � � � � � � � j � � � �

G Y � / � . / 0 � � � � � w u � ^ / � SBPM � [6]

� x 8 " � � � 1 . / 0 � � � � � w T Q > � � GE N * � # (3) . / 0 1 xy 4 d e � 1 � o ( T Q I

" � � � N : 9 c G o N V i j # (3)(1) 1 � F 1 � G # HIMAC � � � � � � � 1 xy Z [ ( T Q I *! ( � � V

"E-mail: [email protected]

-0.5

0

0.5

-0.4 -0.2 0 0.2tune difference Qx# -Qy$

bea

m a

xis

φ(πr

ad) C0

% =-0.016-0.008-0.004

&1: . / 0 ' ( 1 ) * 1 � o V � � Y � � Q V

2.1 + � / � x N Z [ , . / 0 ' ( - . � } T QHIMAC � � � � � � � > c 9 c 9 / 8 " ! N

xy Z[ ( # SBPM ( ) ! " T Q I * V 0 � � � � � � � � ¤A � 1 � � � ! " . / 0 1 � � � � � � � � w ( TQ I * 9 : ; # xy ( 1 G � ! * 2 3 - . > S T U M

* V T Q U M * � � � � � w 1 ) * � 4 * 5 6 * � 1� o ( 7 8 � z / � � ~ I " � � 9 � � N 9 # &

1 1: ; 1 x � � 7 8 * V 0 � � � } < M * ` � � G Y #� o Y 0 � = > � � x ? @ A � 7 8 � � � B C I #

� � 1 D E G F G I " ! N : 9 > L � N V� � � � & 1 � H � 9 I J � N 9 # 4 5 G K } M

* L M Z [ 1 � U Y 0.01 D E 9 7 N V : 1 N Y # OP Q R 1 S � � � ¡ � � + � / G Y T U > V � 7 !W X b o ! V Y 1 Z [ 9 I " # ) \ � Q R 1 c V ]^ Q _ ` - [7] > # COD ( c V . / 0 � x 8 " 4 a �� � b z / c ^ Q _ 9 I " d ! " ! N : 9 > e D }M N V : 1 _ [ # COD > B f � 1cm g h l M " ! M

i # 4 5 Z p 9 B C � N N > K } M N V2.2 j { k � � � x N Z [ , � z / � � � � � } T Q

$ % & ' l m 1 j { k � � ( n Q I * 9 o 1 xy Z[ 1 � U ( # u / � � z / � 1 T Q ( I " � � I

Proceedings of the 1st Annual Meeting of Particle Accelerator Society of Japan

and the 29th Linear Accelerator Meeting in Japan (August 4 - 6, 2004, Funabashi Japan)

435

Page 2: COUPLING INSTABILITY IN HIMAC SYNCHROTRON - KEKbeam-physics.kek.jp/mirror/lam29.lebra.nihon-u.ac.jp/Web... · 2004. 10. 12. · COUPLING INSTABILITY IN HIMAC SYNCHROTRON T.Uesugi

0.6

0.65

0.7

0.75

0.8

81 82 83 84Defocusing quadrupole strength QD(A)

Mo

de

tun

e(fr

acti

on

al p

art)

�2:

� � � � � � � � � �

� � � �(QD) � � � � � � � � � � � (3.7,2.7) � � � � � � � � � � � � � � � � �

2 � � � � � � � � � � � � � QD � � � � � � !

� � � � � " � � # � � � $ � � � � � � � � �� � � � � $ % & ' � � � � � � � � � � � ( ) �

� � � � * � + $ , � � � � - " . � � � �� ! / "

0.05 # $ � % & ' ( $ � - � . ) � � �0 1 � 2 � 3

4 =0.006 � ) * � � 5 6 + 7 , - � �. � ) 0 1 � � � � � ( )

3 . / 0 1 2 3 8 9 : ; < 4 5 = 63.1

> , � #? 2 $ � * � + � 7 ) 8 � � � @ A B � C . 9 : ; < � D E [2] � F " � � . � � � � �

3 � G( = � � > ? � 7 � ' H � � @ = A I " * � + JK $ L � � � M � * � + ( J & N - O � B )

� � > , � # $ P - � . ) � - � � * � + $ C D EF � � G G H . E F � � � � � . � �

4 � I� �4 � �

3 � J " ) K L � L � � � Q � � � � M� � ; < N 2.5 O � * � + J K $ P � � � . ) 2.5

O R P � � � � @ A B � � � Q � R S E F � * �+ $ T U � � � . ) V W " X Y D E � 0 S � � � = " * � + > , � #� � � Z � - [ � * � + � \ $ � ] � � @ * � + � \

$ $ � Q � ? - . � - � T � U � � ^ � � � � � / V W/ X

=1 � � � � _ � I � . . � � $ Y � � � �� � # ` � � � * � + > , � # � - [ � * � + � �

@ * � + � Z [ � \ � ) ) a � C $ ] ^ � � . )� b 6 � � ) 3.2 � @ * � + � ) 0 1 c � _ O d e

� @ A B f g h � � - [ � * � + � i ` a b c d �P j � @ * � + ( i k ) � : l m � � � Z [ � \ n S� b o � � R e � E # p � q r � � )

st b c u v w xt b u yz w t ` u y

z w t k (2)xt k b c u { t k ` c u { t (3)

� � � � u v w � + 7 , - � � . | � � - [ � * � + �} - f J ' J � H � g � � u z w � � @ * � + � Z [ �\ � ) - [ � � ( h ~ � H � g � u { � - [ � * �

+ � Z [ � \ � + 7 , - � � . � � M ) � @ * � +

0

0.5

1

0 2.5 5 7.5

Inte

nsi

ty(1

09 ion

s)

-20

0

20

0 2.5 5 7.5Time(sec)

Po

siti

on

�3: L � � � * � + J K � � � � > ? � 7 � '

H � � � � � k ` i � � mA � � � � � � � � � � � � � �� � � � � � � �

1.0sec 2.5sec

3.0sec 3.5sec

�4: � � � � � � - � � � � - � � � � � � � !" � # $ � % & ' � ( ) * � + , �

� - . � / 0 1 % 2 3 � � 4 5 6 7 � 8 9 � :8 9 � � � � � ; < � � = � > ? @ ; A B C D E � F G H I J K LM N C � 8 � / O P Q � � R S T U V D � � W �/ O P Q � � R S ' R S @ T 1 L X V X � � Y Z

T [ � � \ P ] � / � P . P ^ _ ` � / O P Q � �R S ; a � � � W D ' b % c % d L e f 3 � � ' gh C � i j � k l m ; n j � W � o p ' F G q r �s E D � [8, 9, 10] ��

5 L t u v � w x y z ; { C � � L { C | } L �~ � �( � � � � � � � ) � | � � � � � � � � � � � � � L� � C � 1 a � L � � � � t u v T u - � X [ � �

� W � T � � � � � Z � � � � | � n ~ � � � > Tt u v T ' � � L u - � W � n � � y z � _ � Y �

� � �3.3 � � � � � m � � \ � ! � P ^

� , F � L | � � � � � ' � � � ] � � � � � �� , F � � � ; � � �   � W � L | [ � ¡ � 2 - �� ¢ £ V D � � ¤ W 2 � RF-KO

; < � � ! ¥ P � �� � � � � ¦ G ; § ¨ d L � �

[11] �   � � � ] � �; � � �   � W � ; © ª Z � RF-KO � ` « % ; � ¬­ ® ¯ � P � ` ° 2 ± ² ³ Y Z � W ´ � �3 � � �

� � ' 230kHz � RF-KO L | [ � m � � D Z �

Proceedings of the 1st Annual Meeting of Particle Accelerator Society of Japan

and the 29th Linear Accelerator Meeting in Japan (August 4 - 6, 2004, Funabashi Japan)

436

Page 3: COUPLING INSTABILITY IN HIMAC SYNCHROTRON - KEKbeam-physics.kek.jp/mirror/lam29.lebra.nihon-u.ac.jp/Web... · 2004. 10. 12. · COUPLING INSTABILITY IN HIMAC SYNCHROTRON T.Uesugi

-5

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2.6 2.8 3 3.2 3.4Vertical tune

Gro

wth

rat

e (1

/s)

Mode 1Mode 2

�5: � � � � � � � � � � � � � � � �

� � � �� � � � �

� � � � � � � � �

-20

0

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0 100 200 300Shaking frequency(kHz)

Cat

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)

�6: � � � � !

" # $ % ! � & ' ( ) * + , -� � � . RF-KO ./ + , � � � � ( 0 1 2 3

� � � 2 3 4 5 6 7 $ %! � � 8 ( 9 : ; 4 < = ( � ) � > 3 ? �3.4 � � � 5 6 7 � �

" # @ A B C D � � � � E � F � G # = � �. / + , 5 6 7 H I � @ A B C . � � J 2 3 4 � <

� / K L � � 5 6 7 ( � � = L + ,� @ A " # $ %

! M � � � . ; 4 < = ( � > 3 , N 4 [13, 12] � � � 56 7 M � ; 4 ? � � @ A B C � � " � . " � M :O ? [13] � � � 5 6 7 E � P � � " Q . R � , S T U

� � � �� � V � � � W � � �� � ! " � � � � X (4)

� " � = Y Z I , # [ $ 2 3 4 � < < \ � � � = � � � EP 3 % 3 � � 5 6 7 � & 5 � ] � ] 7 ^ _ U � " #

" � D \ � J ' ( ^ _ U \ �N ) 3 - � � 5 6 7

� � " Q . * + ; 4 � ` ? � � � . E � � � 5 6 7 ./ 4 " # $ % ! � D � H M a , I , - # V � � � W M :O , b 4 �� � � � � E �

D � H 2 3 ? " # $ % ! � . /7 c 0 � M 1 � ; 4 < = \ � 2 \ 3 4 � �

6 E � S TU M d O ? = 3 � 4 5 % e " 6 f " # $ % ! � . / 7

c 0 � g M h ; � i j \ E � 60 7 70 kHz = 80 7 110 kHz. k % � � 220 7 230 kHz . E 8 � k % � ( 9 1 2 3

? � 60 7 70 kHz � k % � E � � " Q 20 : l . m ; 4n (4) � J � � 0 . o p I � ; O q

H� O< = � 5 67 ( � 2 3 ? = > 1 2 3 4 � ` ? � 80 7 110 kHz �

k % � E � � " Q 8 7 10 � � ? � J � � 0 � ` ?

E � " Q 4 � � ? � ( 5 @ � � 0 . o p I � ; O qH� O� < A He< ( B C > 3 4 �

4 . D E FHIMAC c 7 � ] � ] 7 . r N ,

� xy s ? � � 2M t G [ � u H \ 1 � I ? � xy s ? E 5 I � 5 e A

� v w % J � K L = M M K I L N � ? \ - + N I ? �< 3 E x N � = < y � O P K L � Q � R z K � ( {S I , N 4 = a O > 3 4 �

� . � " # @ A . / + , | > 3 ? T } 8 $ % ! \E � xy s ? � ~ Y Z . o p ; 4 _ � � . r N ,

� UI N V W % I 7 � ^ _ M X K � � � � ( 9 1 2 3 ? �

� � � � E � @ A " # $ % ! = 5 6 7 $ % ! � o Y� � . / 4 - � f " # : � g = a O > 3 4 �Z [ \ ]

[1] Y. Hirao et al., Nucl. Phys., A538(1992) 541c.

[2] K. Noda et al., “Electron Cooling Experiments at HI-MAC Synchrotron”, Proc. of EPAC’04, Lucerne, 2004.

[3] D. Edward and L. Teng, IEEE Trans. on Nucl. Sci., Vol.NS-20, No.3 (1973), 885.

[4] G. Parzen, Proc. of PAC’93, Washington DC, May 1993,pp.486.

[5] G. Guignard, CERN 78-11 (1978).

[6] Y. Hashimoto et al., NIM A527 (2004), 289.

[7] A. Itano et al., Proc. of 8̂ _ Symposium on AcceleratorScience and Technology, 1991, Saitama, Japan, pp.200,1991.

[8] V. V. Parkhomchuk and V. B. Reva, Jour. of Exper. andTheor. Phys., v.91, N5(2000), 975.

[9] P. R. Zenevich and A. E. Bolshakov, NIM A441 (2000),36.

[10] A. Burov, NIM A441 (2000), 23.

[11] K. Noda et al., NIM A492 (2002), 253.

[12] Y. Korotaev et al., NIM A441(2000), 96.

[13] J. Bosser et al., NIM A391 (1997), 110.

Proceedings of the 1st Annual Meeting of Particle Accelerator Society of Japan

and the 29th Linear Accelerator Meeting in Japan (August 4 - 6, 2004, Funabashi Japan)

437