Touschek lifetime of an elliptical electron beam with horizontal and vertical betatron oscillations

被引:1
作者
Miyahara, Y [1 ]
机构
[1] SPring 8, Mikazuki, Hyogo 6795198, Japan
来源
JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS SHORT NOTES & REVIEW PAPERS | 2000年 / 39卷 / 6A期
关键词
Touschek effect; x-y coupling; beam lifetime; electron beam; electron storage ring;
D O I
10.1143/JJAP.39.3657
中图分类号
O59 [应用物理学];
学科分类号
摘要
The Touschek lifetime of an elliptical electron beam is discussed considering the horizontal and vertical betatron oscillations using the cross section for nonrelativistic Moller scattering. Complex integration of the lifetime is numerically calculated and formulated in an analytical expression for the convenience of practical application. The present lifetime is reduced to the conventional ribbon beam formula in the extreme case of a flat beam. The results agree with the lifetime experimentally determined in a small storage ring, SOR-RING, in the whole range of small and large coupling of horizontal and vertical oscillations.
引用
收藏
页码:3657 / 3665
页数:9
相关论文
共 10 条
[1]   LIFETIME AND BEAM SIZE IN A STORAGE RING [J].
BERNARDINI, C ;
MARIN, P ;
QUERZOLI, R ;
TOUSCHEK, B ;
DIGIUGNO, G ;
CORAZZA, GF ;
HAISSINSKY, J ;
GHIGO, G .
PHYSICAL REVIEW LETTERS, 1963, 10 (09) :407-&
[2]  
BRUCK H, 1966, ACCELERATEURS CIRCUL, pCH30
[3]  
GRADSHTEYN IS, 1983, TABLE INTEGRALS SERI, P512
[4]   A NEW FORMULA FOR THE LIFETIME OF A ROUND BEAM CAUSED BY THE TOUSCHEK EFFECT IN AN ELECTRON STORAGE RING [J].
MIYAHARA, Y .
JAPANESE JOURNAL OF APPLIED PHYSICS PART 2-LETTERS, 1985, 24 (09) :L742-L743
[5]   INVESTIGATION OF THE TOUSCHEK EFFECT IN VUV ELECTRON STORAGE RING [J].
MIYAHARA, Y ;
NISHIMURA, H .
IEEE TRANSACTIONS ON NUCLEAR SCIENCE, 1985, 32 (05) :3821-3823
[6]  
MIYAHARA Y, 1989, A2122 ISSP U TOK
[7]  
Piwinski A., 1998, 98179 DESY
[8]  
VOLKEL U, 1967, 675 DESY
[9]  
Walker R. P., 1987, Proceedings of the 1987 IEEE Particle Accelerator Conference: Accelerator Engineering and Technology (Cat. No.87CH2387-9), P491
[10]  
WIEDEMANN H, 1973, 27 SLAC PEP