engBoine-Frankenheim, OliverKornilov, VladimirInstability mitigation using octupoles in bunches with space-chargeAccelerator Physicsmc5-beam-dynamics-and-em-fields - MC5: Beam Dynamics and EM Fieldsmc5-d06-coherent-and-incoherent-instabilities-measurements-and-countermeasures - MC5.D06: Coherent and Incoherent Instabilities Measurements and CountermeasuresOctupole magnets are a central mitigation method against the transverse collective instabilities expected for the high-intensity operation of the SIS18 and SIS100 synchrotrons in the FAIR project. For these beam parameters, the self-field space-charge effect dominates the betatron footprint, and strongly modifies the instability drive and the Landau damping properties. The space-charge tune shifts are related to all three incoherent amplitudes, and is an intrinsic interaction. We consider all these effects and study Landau damping of head-tail modes due to the combination of octupoles and space-charge. Using the data from experimental instability observations, and particle tracking simulations, we provide estimations for the expected high-intensity operation of the SIS synchrotrons.Geneva, Switzerland : JACoW Publishing 2673 - 2676 (2023). doi:10.18429/JACOW-IPAC2023-WEPA015info:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersion14th International Particle Accelerator Conference, IPAC2023, Venice, Italy, 2023-05-07 - 2023-05-12JACoW Publishing2023info:eu-repo/semantics/openAccessDEhttps://repository.gsi.de/record/358338https://repository.gsi.de/search?p=id:%22GSI-2025-00522%22Researchersinfo:eu-repo/semantics/altIdentifier/doi/10.18429/JACOW-IPAC2023-WEPA015info:eu-repo/semantics/altIdentifier/doi/10.15120/GSI-2025-00522