Study of spin resonances in the accelerators with snakes

Conference · Fri Jan 01 00:00:00 EST 1988

OSTI ID:6612664

Lee, S Y

Spin resonances in the circular accelerators with snakes are studied to understand the nature of snake resonances. We analyze the effect of snake configuration, and the snake superperiod on the resonance. Defining the critical resonance strength epsilon/sub c/ as the maximum tolerable resonance strength without losing the beam polarization after passing through the resonance, we found that epsilon/sub c/ is a sensitive function of the snake configuration, the snake superperiod at the first order snake resonance, the higher order snake resonance conditions and the spin matching condition. Under properly designed snake configuration, the critical resonance strength epsilon/sub c/ is found to vary linearly with N/sub S/ as = (1/..pi..)sin/sup /minus/1/(/vert bar/cos ..pi nu../sub z//vert bar//sup /1/2//)N/sub S/, where ..nu../sub z/ and N/sub S/ are the betatron tune and the number of snakes respectively. We also study the effect of overlapping intrinsic and imperfection resonances. The imperfection resonance should be corrected to a magnitude of insignificance (e.g., epsilonless than or equal to0.1 for two snakes case) to maintain proper polarization. 23 refs., 25 figs.

• Research Organization: Brookhaven National Lab., Upton, NY (USA)
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 6612664
• Report Number(s): BNL-42074; CONF-880983-20; ON: DE89004523
• Resource Relation: Conference: 8. international symposium on high energy spin physics, Minneapolis, MN, USA, 12 Sep 1988; Other Information: Portions of this document are illegible in microfiche products
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ACCELERATORS
BEAM DYNAMICS
POLARIZED BEAMS
SPIN ORIENTATION
BETATRON OSCILLATIONS
DEPOLARIZATION
EQUATIONS OF MOTION
MAGNETIC FIELDS
QUANTUM MECHANICS
WAVE FUNCTIONS
BEAMS
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
MECHANICS
ORIENTATION
OSCILLATIONS
PARTIAL DIFFERENTIAL EQUATIONS
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics