合肥800MeV电子储存环的色品测量与校正

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:1999212213;:2000203221:(1961),,,,352Vol.35,No.220013AtomicEnergyScienceandTechnologyMar.2001:100026931(2001)0220158206800MeV,,,,(,230029):800MeVRF,2,:;;;;:TL506:A,,,,(),[1],,,,,,,,,[2],RF,,,,,1111,pK=ep5Bz5x(1)p,K=ep+p5Bz5x-ep5Bz5x-Kpp(2)K[3](x,y)q=14x,y(s)K(s)ds(3)(2),(x,y)q=(º14x,y(s)K(s)ds)pp(4),(x,y)nat=(x,y)q=(x,y)qp/p=º14x,y(s)K(s)ds(5)112[3]By=(x2-y2)Bx=2xy:=12d2Bydy2=12d2Bxdxdy=p/px=,Kx=ep5By5x=2epx=2epppKy=-ep5Bx5y=-2epx=-2eppp(6)(6)(3),:(x,y)s=(12x,y(s)epds)pp(7),(x,y)s=(x,y)sp/p=12x,y(s)epds(8),(x,y)c=(x,y)q+(x,y)s(9)2211I,dpp=dBB=dII(10)(1),dKx,y=-Kx,ydpp(11)(11)(5)(3),9512:800MeVd(x,y)q=(º14x,y(s)Kx,y(s)ds)dpp=(x,y)qdpp(12)(6),d(Kx,y)s=55p(2eppp)dp=º2(Kx,y)sdpp(13)(13)(8)(3),d(x,y)s=º2(12x,y(s)epds)ppdpp=-2(x,y)sppdpp(14)dx,y=d(x,y)q+d(x,y)s=(x,y)qdpp-2(x,y)sppdpp(15)dx,ydp/p=(x,y)q-2(x,y)spp(16)=p/pn1,,(16)2,(10)(16),(x,y)nat=(x,y)qdx,ydI/I(17)212RFL=c/fr,RFfrdLL=-dfrfr,[2]dpp=1cdLL=-1cdfrfrx=xdpp=-xcdfrfr(18)(12),d(x,y)q=-1cdfrfr(x,y)q(19)(6)(7),d(x,y)s=-1cdfrfr(x,y)s(20)d(x,y)=d(x,y)q+d(x,y)s=-1cdfrfr[(x,y)q+(x,y)s](21)(x,y)c=-cd(x,y)dfr/fr(22)0613533111Fig.1Variationofthebetatrontunewiththebendingmagnetcurrentx;y800MeV,(1),(17):x=-61059,y=-21634x=-6113,y=-2141312800MeVSFSD:SF(SX2)8,SD(SX1)6SF,SD,,SFxy,SDxy800MeV,SF2RFFig.2VariationofthebetatrontunewiththeRFfrequencyx;yx=4171y=2151=1156,SDx=019y=11142=0173800MeV,ISF=27136A,ISD=64165A,RF(2),(22)x=01268,y=31057,0107201045313800MeV,SFSD,,SFSD33:SD,;SF,,,SFISF=3515AISD=64165A,2123,1612:800MeV3ISF(a)ISD(b)Fig.3ThevariationofthecorrectionchromaticityasafunctionofthesextupolemagnetcurrentISF(a)andISD(b)x;y(x)s=01236ISF-01017ISD(y)s=-01138ISF+01212ISD(23)800MeV,x,y=B/201347ISF,012m,(22),(x)s=01243ISF-01017ISD(y)s=-01129ISF+0121ISD(24)(23)(24):4:800MeV,,800MeV,SF:[1],,,1800MeV[J]1,1996,13(12):151[2]ZimmermanF.MeasurementandCorrectionofAcceleratorOptics:ProceedsoftheJointUS2CERN2Japan2RussiaSchoolonParticleAccelerators[R].Singapore:WorldScientificPublishingCoPteLtd,1998.[3]1[M]1:,19941120126135MeasurementandCorrectionofChromaticityinHefeiLightSourceSUNBao2gen,XUHong2liang,HEDuo2hui,WANGJun2hua,LUPing(UniversityofScienceandTechnologyofChina,Hefei230029,China)Abstract:ThemeasurementandcorrectionofchromaticityforHefeilightsourceisintroduced.Thenaturalchromaticityisobtainedbydetectingthevariationofthebetatrontunewiththemaindipolefieldstrength.Thecorrectionchromaticityisobtainedbydetectingthevariationofthebe2tatrontunewiththeRFfrequency.Thetheoreticanalysisandformulaforthetwomethodsisgiv2en.Themeasurementresultsofchromaticityaregiven.Keywords:naturalchromaticity;correctionchromaticity;tune;momentum;sextupoleH05H01300CN1237872A9910304010990203(CRT),CRTCRT,,,,CRT,,3612:800MeV

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