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1、131ò110ÏpUÔn†ØÔnVol.31,No.102007c10HIGHENERGYPHYSICSANDNUCLEARPHYSICSOct.,2007IntrabeamScatteringofHeavyIonsatHIRFL-CSR*1;2;1)111MAOLi-JunYANGXiao-DongXIAJia-WenWEIBao-Wen1(InstituteofModernPhysics,ChineseAcademyofSciences,Lanzhou730000,China)2(GraduateUniversi
2、tyofChineseAcademyofSciences,Beijing100049,China)AbstractSmall-anglemultipleintrabeamscattering(IBS)isanimportanteectforheavy-ionstorageringswithelectroncooling,becausethecoolingtimeisdeterminedbytheequilibriumbetweencoolingandIBSprocess.Allusuallyusednumerical
3、algorithmsofIBSgrowthratecalculationsarebasedonthemodelofthecollisionsproposedbyA.Piwinski,butthisresultisamultidimensionalintegral.Inthispaper,theIBSgrowthratesaresimulatedforHIRFL-CSRusingsymmetricellipticintegralmethod,andcomparedwithseveralavailableIBScodere
4、sults.Keywordselectroncooling,intrabeamscattering,emittance,momentumspread1IntroductionbetweenthecoolingandtheIBSeects.ThisisthereasonwhytheIBSprocessinHIRFL-CSRmustbeHIRFL-CSR(HeavyIonResearchFacilityinsimulated.Lanzhou-CoolingStorageRing)isamulti-purposeheavy
5、ionstorageringthatconsistsofamainring2IBSgrowthrateexpression(CSRm),anexperimentalring(CSRe)andaradioac-[1]tivebeamline(RIBLL2)toconnectthetworings.J.BjorkenandS.MtingwaconsideredtheGaus-Twoelectroncoolerslocatedinthelongstraightsec-sianphase-spacedistributionfo
6、rbeamandgaveationsoftheCSRmandtheCSRe,respectively,for3-dimensionalintegralexpressionforthetotal6-heavyionbeamcooling.IntheCSRm,e-coolerwilldimensionalIBSgrowthratebasedonA.Piwinski'sbeusedforthebeamaccumulationattheinjection[3]model,energyrangeof7
7、30MeV/utoincr
8、easethebeamin-232tensity.IntheCSRe,e-coolerwillbeusedtocompen-1mionrpnioncLC= satethegrowthofbeamemittanceduringinternal-Z1d1=2targetexperimentsortoprovidehighqualitybeams( )2+120(1+)3=2(2+)3=2(3+)1=2forthehigh-resolutionmassmeasurementsofnuclei.E
9、lectroncoolingisafastprocessforincreasingtwocyclicpermutations;[2]thephase-spacedensityofstoredionbeams.Itis 18achievedbyCoulombcollisionbetweenionbeamandwhererpiscla