INCREASE OF BEAM PROJECTIVE EMITTANCE IN SYSTEM WITH DISPERSION

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WEI Kai-Yu. INCREASE OF BEAM PROJECTIVE EMITTANCE IN SYSTEM WITH DISPERSION[J]. Chinese Physics C, 1983, 7(5): 589-597.
WEI Kai-Yu. INCREASE OF BEAM PROJECTIVE EMITTANCE IN SYSTEM WITH DISPERSION[J]. Chinese Physics C, 1983, 7(5): 589-597. shu
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Received: 1900-01-01
Revised: 1900-01-01
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INCREASE OF BEAM PROJECTIVE EMITTANCE IN SYSTEM WITH DISPERSION

    Corresponding author: WEI Kai-Yu,
  • Institute of High Energy Physics, Academia sinica

Abstract: In this paper, the increase of beam projective emittance caused by the momentum dispersion in the transport systems is discussed, and the incrementary ratio is derived. If the bending plane is (XOZ), the incrementary ratio of the transversal emittance is

and the longitudinal one is

Here εx0 and εz0 are original emittances in the x-direction and z-direction respectively, (Δp/p)maxis beam momentum spread βxf, αxf, γxf being acceptance parameters of the system in x-direction for betatron oscillations, η and η' are dispersion function and its derivative.

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