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Presently the Fermilab Booster can accommodate about half the maximum proton beam intensity which the Linac can deliver. One of the limitations is related to large vertical tuneshift produced by space-charge forces at injection energy. In the present report we study the nonlinear beam dynamics in the presence of space charge and magnet imperfections and analyze the possibility of space charge compensation with electron lenses.

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The complex based on the DC60 cyclotron is intended for applied and fundamental research using beams of accelerated ions from carbon to xenon with energies from 0.34 to 1.77 MeV/nucleon, as well as for experiments on the channel of low-energy ion beams received from an ECR source with extraction intensities of up to 25 kV.On the DC60 cyclotron the accelerated ions energy variation is carried out through changing the ion charge, a possibility of smooth variation of ion energy by ±30% of the nominal value by means of changing the cyclotron magneticˇeld is also envisaged.Within the framework of commissioning the DC60 cyclotron, a number of experiments have been carried out on accelerating charged particle beams in the main points of the working diagram:• Investigation of acceleration modes for ions of nitrogen, argon, krypton ( • Investigation of possibilities for bunching the beam with a buncher and of the in uence of injected beam intensity on the acceleration efˇciency.• A beam has been extracted from the accelerator with an efˇciency exceeding 60%.• Accelerated ion beam of krypton ( 84 Kr 12+ ) with a current of up to 2 μA was extracted into a beam transport channel, shaped and transported to a technological facility for polymerˇlm irradiation. There has been shaped the irradiationˇeld with a required particle ux density and homogeneity, and experimental irradiation of polymerˇlm has been carried out.• Investigation of the modes of operational correction of the magneticˇeld with radial correcting coils of the cyclotron. • μ±μ³ ¤μ 2 ³± ¢Ò¢¥¤¥´¢¨μ´´μ-μ ¶É¨Î¥¸±¨°± ´ ²,¸Ëμ·³¨·μ¢ ´¨ ¶·μ¢¥¤¥´¤μ ɥ̴μ²μ£¨Î¥¸±μ°Ê¸É ´μ¢±¨ ¶μ μ¡²ÊÎ¥´¨Õ ¶μ²¨³¥·´μ° ¶²¥´±¨. 'Ëμ·³¨·μ¢ ´μ ¶μ²¥ μ¡²ÊÎ¥´¨Ö¸É·¥¡Ê¥³μ° ¶²μÉ´μ¸ÉÓÕ ¶μÉμ± Î ¸É¨Í¨μ¤´μ·μ¤´μ¸ÉÓÕ,¨ ¶·μ¢¥-¤¥´μ Ô±¸ ¶¥·¨³¥´É ²Ó´μ¥ μ¡²ÊÎ¥´¨¥ ¶μ²¨³¥·´μ° ¶²¥´±¨; DC60 Heavy Ion Cyclotron Complex: First Beams and Project Parameters•¨¸¸²¥¤μ¢ ´Ò ·¥¦¨³Ò μ ¶¥· ɨ¢´μ°±μ··¥±Í¨¨³ £´¨É´μ£μ ¶μ²Ö · ¤¨ ²Ó´Ò³¨± ÉÊϱ ³Í¨± ²μÉ·μ´ .