Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅰ)

  • In the paper an average field idea and a single particle model have been introduced, and the motion behaviours in small-scale of particles have been disscussed for 2 Dimension crystallization beams in storage rings. It is shown that a particle orbit is the spiral line moved along z axis and wended around z axis, the discountinuity in the azimuthal distribution and the structure phase transition of crystallization beams have been derived by the minimun-energy principle.
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  • [1] .Rahman A,Schiff er J P.Phys.Rev.Lett.,1986,57: 11332.Habs D et al.MPI 1987..v3,MPI,Heidelberg,19873.Hofmann I,LUO S Y.GSI Report,89- 1,19894.LUO S Y,Hofmann I.GSI Report,89- 21,19895.SHAO M Z,Hofmann I,LUO S Y.Acta Physica Sinica,1990,39(8) :1189-1190(in Chinese)(邵明珠,HofmannI,罗诗裕.物理学报,1990,39(8):1189—1190)6.SHAO M Z,Hofmann I,LUO S Y.Acta Physica Sinica,1990,39(8) :1200-1206(in Chinese)(邵明珠,HofmannI,罗诗裕.物理学报,1990,39(8):1200—1206)7.SHAO M Z,Hofmann I,LUO S Y.Acta Physica Sinica,1990,39(8) :1207-1213(in Chinese)(邵明珠,HofmannI,罗诗裕.物理学报,1990,39(8):1207—1213)8.LUO S Y,LIU Z R,SHAO M Z.Acta Physica Sinica,1987,36( 5) :547(in Chinese)(罗诗裕,刘曾荣,邵明珠.物理学报,1987,36(5):547)9.LUO S Y,SHAO M Z,LIU Z R,et al.Act a Physica Sinica,1988,37(8) : 1394(in Chinese)(罗诗裕,邵明珠,刘曾荣等.物理学报,1988,37(8):1394)10.SHAO M Z.Act a Physica Sinica,1992,41(11) : 1825(in Chinese)(罗诗裕,邵明珠,刘曾荣等.物理学报,1988,37(8):1394)11.LUO S Y,SHAO M Z.Acta Mathemat ica Scient ia,1993,13(1) : 391(in Chinese)(罗诗裕,邵明珠.数学物理学报,1993,13(1):391)12.Schemoller T,et al.Nucl.Inst r.andMeth.,2000,A441: 50-53
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LUO Shi-Yu, SHAO Ming-Zhu and HU Xi-Duo. Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅰ)[J]. Chinese Physics C, 2004, 28(1): 96-99.
LUO Shi-Yu, SHAO Ming-Zhu and HU Xi-Duo. Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅰ)[J]. Chinese Physics C, 2004, 28(1): 96-99. shu
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Received: 2003-05-18
Revised: 1900-01-01
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Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅰ)

    Corresponding author: LUO Shi-Yu,
  • Dongguan University of Technology,Guangdong 523106,China

Abstract: In the paper an average field idea and a single particle model have been introduced, and the motion behaviours in small-scale of particles have been disscussed for 2 Dimension crystallization beams in storage rings. It is shown that a particle orbit is the spiral line moved along z axis and wended around z axis, the discountinuity in the azimuthal distribution and the structure phase transition of crystallization beams have been derived by the minimun-energy principle.

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