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Abstract:
FolloWing the intrabeam scattering(IBS)theory of Bjorken and Mtingwa,more general formulae for the growth rates of horizontal,vertical emittance and longitudinal momentum spread are deduced in a simpler form of elliptic integrals.The formulae are applied to the proposed HIRFL-CSR. By means of numerical integration,continuous variations of emittances and momentum spread with time are obtained.The results show that the IBS growth rates are not rapid enough to be a design constraint of CSR lattice.
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A.Piwinsky,Proc.9th Conf.on High Energy Accelerators(1974)405.[2]J.D.Bjorken,S.K.Mtingwa,Part Accel.,13(1983)115.[3]M.Martini,CERNPS/84-9(A)(1984).[4]P.F.Byrd,M.D.Friedman,Handbook of Elliptic Integrals for Engineers and Scientists(Springer-Verlag,New York,1971)[5]L.Evans,B.Zotter,CERN SPS/80-15(DI)(1980).[6]B.Hochadel et al.,CERN 94-03(1994)198.[7]A.Piwinsky,CERN 92-01(1992)226. |
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