一维晶化束的辐射能损与束流冷却
Radiation energy loss and cooling of onedimensional crystallization beam
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摘要: 用Jacobian椭圆函数求解了一维晶化束的非线性动力学方程,并用第一类全椭圆积分表示了粒子振动周期。在经典物理学框架内,讨论了储存环中作相对论运动的带电粒子的辐射能损,以及由于辐射能损导致的束流冷却。结果表明, 由于辐射损失束流将进一步冷却。Abstract: Suppose only the focussing and the Coulomb force act on an ion, where the focussing force is linear and the Coulomb force is nonlinear. When the two forces are balanced, the critical spacing between ions can be obtained. In this paper the radiation energy loss and the cooling of the onedimensional crystallization beam are discussed. The coherent transverse equation of particle motion has been reduced to Duffing equation with the hardspring properties in the frame of Newton mechanics. This nonlinear equation has been solved exactly by a Jacobian elliptical function, and the motion period of a particle has been expressed exactly by the firstkind complete elliptical integral. The energy loss and the beam cooling by the electromagnetic radiation of a charged particle in a storage r
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Key words:
- crystallization beam /
- storage ring /
- relativity /
- charged particle /
- radiation energy loss /
- beam cooling
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