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1.
Analysis of double-resonance crossing in adiabatic trapping phenomena for quasi-integrable area-preserving maps with time-dependent exciters / Bazzani, Armando (Bologna U. ; INFN, Bologna) ; Capoani, Federico (Bologna U. ; INFN, Bologna) ; Giovannozzi, Massimo (CERN)
In this paper, we analyze the adiabatic crossing of a resonance for Hamiltonian systems when a double-resonance condition is satisfied by the linear frequency at an elliptic fixed point. We discuss in detail the phase-space structure on a class of Hamiltonians and area-preserving maps with an elliptic fixed point in the presence of a time-dependent exciter. [...]
arXiv:2402.18358.- 2024-05-23 - 14 p. - Published in : Phys. Rev. E 109 (2024) 054212 Fulltext: 2402.18358 - PDF; Publication - PDF;
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2.
Numerical simulations of transverse nonlinear beam manipulations at the CERN PS / Capoani, F (Bologna U. ; CERN) ; Bazzani, A (Bologna U.) ; Giovannozzi, M (CERN)
A new set of nonlinear beam manipulations have been recently proposed, with the goal of extending the transverse beam splitting that is routinely used at the CERN PS to deliver beam to the SPS for fixed-target physics. Using a simple Hamiltonian model, it has been shown how the transverse emittances can be shared by crossing a two-dimensional nonlinear resonance. [...]
2023 - 4 p. - Published in : JACoW IPAC 2023 (2023) WEPL098 Fulltext: PDF;
In : 14th International Particle Accelerator Conference (IPAC 2023), Venice, Italy, 7 - 12 May 2023, pp.WEPL098
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3.
Analysis of a double-resonance crossing for beam splitting / Capoani, F (Bologna U. ; CERN) ; Bazzani, A (Bologna U.) ; Giovannozzi, M (CERN)
Beam splitting can be performed by adiabatic crossing of a given one-dimensional non-linear resonance. This process is routinely used at the CERN PS to deliver the proton beam to the SPS fixed-target physics. [...]
2023 - 4 p. - Published in : JACoW IPAC 2023 (2023) WEPL096 Fulltext: PDF;
In : 14th International Particle Accelerator Conference (IPAC 2023), Venice, Italy, 7 - 12 May 2023, pp.WEPL096
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4.
Shaping transverse beam distributions by means of adiabatic crossing of resonances / Capoani, Federico
Non-linear effects are responsible for peculiar phenomena in the dynamics of charged particles in circular accelerators [...]
CERN-THESIS-2022-364 - 222 p.

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5.
Recent Progress on Nonlinear Beam Manipulations in Circular Accelerators / Bazzani, Armando (U. Bologna (main) ; INFN, Bologna) ; Capoani, Federico (CERN ; U. Bologna (main) ; INFN, Bologna) ; Giovannozzi, Massimo (CERN)
In recent years, transverse beam splitting by crossing a stable resonance has become the operational means to perform MultiTurn Extraction (MTE) from the CERN PS to the SPS. This method delivers the high-intensity proton beams for fixed-target physics at the SPS. [...]
2022 - 7 p. - Published in : JACoW HB 2021 (2022) 52-58 Fulltext: PDF;
In : 64th ICFA Advanced Beam Dynamics Workshop on High Intensity and High Brightness Hadron Beams (HB 2021), Batavia, Illinois, United States, 4 - 9 Oct 2021, pp.52-58
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6.
Hamiltonian theory of the crossing of the $2 Q_x -2 Q_y=0$ nonlinear coupling resonance / Bazzani, A. (U. Bologna, DIFA ; INFN, Bologna) ; Capoani, F. (U. Bologna, DIFA ; INFN, Bologna ; CERN) ; Giovannozzi, M. (CERN)
In a recent paper, the adiabatic theory of Hamiltonian systems was successfully applied to study the crossing of the linear coupling resonance, $Q_x-Q_y=0$. A detailed explanation of the well-known phenomena that occur during the resonance-crossing process, such as emittance exchange and its dependence on the adiabaticity of the process was obtained. [...]
arXiv:2208.11519.- 2022-10-03 - 21 p. - Published in : Phys. Rev. Accel. Beams 25 (2022) 104001 Fulltext: 2208.11519 - PDF; Publication - PDF;
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7.
Analysis of adiabatic trapping phenomena for quasi-integrable area-preserving maps in the presence of time-dependent exciters / Bazzani, Armando (Bologna U.) ; Capoani, Federico (Bologna U. ; CERN) ; Giovannozzi, Massimo (CERN)
In this paper, new results concerning the phenomenon of adiabatic trapping into resonance for a class of quasi-integrable maps with a time-dependent exciter are presented and discussed in detail. The applicability of the results about trapping efficiency for Hamiltonian systems to the maps considered is proven by using perturbation theory. [...]
arXiv:2208.11513.- 2022-09-12 - 13 p. - Published in : Phys. Rev. E 106 (2022) 034204 Fulltext: PhysRevE.106.034204 - PDF; 2208.11513 - PDF;
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8.
Linear Coupling and Adiabaticity of Emittance Exchange / Capoani, Federico (CERN ; Bologna U.) ; Bazzani, Armando (Bologna U.) ; Giovannozzi, Massimo (CERN) ; Neishtadt, Anatoly I (Moscow, Space Res. Inst. ; Loughborough U.)
In circular accelerators, crossing the coupling resonance induces the exchange of the transverse emittances, provided the process is adiabatic. In this paper, we introduce a theoretical framework to analyze the resonance-crossing process, based on Hamiltonian mechanics, which is capable of explaining all the features of the emittance exchange process..
Geneva : JACoW, 2021 - 4 p. - Published in : JACoW IPAC 2021 (2021) 1972-1975 Fulltext: PDF;
In : 12th International Particle Accelerator Conference (IPAC 2021), Online, 24 - 28 May 2021, pp.1972-1975
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9.
Cooling of an Annular Beam by Using Nonlinear Effects / Capoani, Federico (CERN ; Bologna U.) ; Bazzani, Armando (Bologna U.) ; Giovannozzi, Massimo (CERN) ; Tomás García, Rogelio (CERN)
In recent years, nonlinear effects have been used to modify the transverse beam distribution by crossing nonlinear resonances adiabatically. This allows generating transversally split beams, in which the initial single Gaussian is divided into several ones depending on the order and stability type of the resonance used. [...]
Geneva : JACoW, 2021 - 4 p. - Published in : JACoW IPAC 2021 (2021) 1968-1971 Fulltext: PDF;
In : 12th International Particle Accelerator Conference (IPAC 2021), Online, 24 - 28 May 2021, pp.1968-1971
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10.
Nonlinear cooling of an annular beam distribution / Bazzani, A. (Bologna U. ; INFN, Bologna) ; Capoani, F. (Bologna U. ; INFN, Bologna) ; Giovannozzi, M. (CERN) ; Tomàs, R. (CERN)
In recent years, intense efforts have been devoted to studying how nonlinear effects can be used to shape the transverse beam distribution by means of an adiabatic crossing of nonlinear resonances. By this approach, it is possible to split the beams in the transverse plane, so that the initial single-Gaussian beam is divided into several distinct distributions. [...]
arXiv:2205.03290.- 2023-02-01 - 19 p. - Published in : Phys. Rev. Accel. Beams 26 (2023) 024001 Fulltext: 2205.03290 - PDF; Publication - PDF;
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