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1.
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;
2.
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;
3.
Analysis of adiabatic trapping for quasi-integrable area-preserving maps / Bazzani, A (Bologna U.) ; Frye, C (Central Florida U. ; CERN) ; Giovannozzi, M (CERN) ; Hernalsteens, C (CERN ; Ecole Polytechnique, Lausanne, LPAP)
Trapping phenomena involving non-linear resonances have been considered in the past in the framework of adiabatic theory. Several results are known for continuous-time dynamical systems generated by Hamiltonian flows in which the combined effect of non-linear resonances and slow time-variation of some system parameters is considered. [...]
CERN-ACC-2014-0042.- Geneva : CERN, 2014 - 22 p. - Published in : Phys. Rev. E 89 (2014) 042915 Fulltext: PDF;
4.
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;
5.
Performance analysis of indicators of chaos for nonlinear dynamical systems / Bazzani, A. (Bologna U. ; INFN, Bologna) ; Giovannozzi, M. (CERN) ; Montanari, C.E. (Bologna U. ; INFN, Bologna ; CERN) ; Turchetti, G. (Bologna U. ; INFN, Bologna)
The efficient detection of chaotic behavior in orbits of a complex dynamical system is an active domain of research. Several indicators have been proposed in the past, and new ones have recently been developed in view of improving the performance of chaos detection by means of numerical simulations. [...]
arXiv:2304.08340.- 2023-06-22 - 24 p. - Published in : Phys. Rev. E 107 (2023) 064209 Fulltext: PDF;
6.
Adiabaticity of emittance exchange due to crossing of the coupling resonance / Bazzani, A. (Bologna U., Dept. Astron.) ; Capoani, F. (Bologna U., Dept. Astron. ; CERN) ; Giovannozzi, M. (CERN) ; Neishtadt, A.I. (Loughborough U. ; IMCS, Moscow)
In circular accelerators, crossing the linear coupling resonance induces the exchange of the transverse emittances, provided the process is adiabatic. This has been considered in some previous works, where the description of the phenomenon has been laid down, and, more recently, where a possible explanation of the numerical results has been proposed. [...]
arXiv:2105.04219.- 2021-09-01 - 21 p. - Published in : Phys. Rev. Accel. Beams 24 (2021) 094002 Fulltext: PDF; Fulltext from publisher: PDF;
7.
Advances on the modelling of the time evolution of dynamic aperture of hadron circular accelerators / Bazzani, A. (Bologna U. ; INFN, Bologna) ; Giovannozzi, M. (CERN) ; Maclean, E.H. (CERN ; Malta U.) ; Montanari, C.E. (Bologna U. ; INFN, Bologna) ; Van der Veken, F.F. (CERN ; Malta U.) ; Van Goethem, W. (CERN ; Antwerp U.)
Determining a model for the time scaling of the dynamic aperture of a circular accelerator is a topic of strong interest and intense research efforts in accelerator physics. The motivation arises in the possibility of finding a method to reliably extrapolate the results of numerical simulations well beyond what is currently possible in terms of CPU time. [...]
arXiv:1909.09516.- 2019-10-25 - 18 p. - Published in : Phys. Rev. Accel. Beams 22 (2019) 104003 Fulltext: PhysRevAccelBeams.22.104003 - PDF; 1909.09516 - PDF; Fulltext from Publisher: PDF;
8.
Analysis of trapping probability for quasi-integrable 4D maps / Williams, Jack (CERN)
The four-dimensional discrete Hénon map on physical $(x,x',y,y')$-space describes the transverse motion of particles undergoing betatronic motion at successive cycles around a circular accelerator in the presence of a sextupole and an octupole. [...]
CERN-STUDENTS-Note-2013-193.
- 2013
Full text
9.
$C\!P$ violation in beauty and charm quarks at LHCb / Manuzzi, Daniele (Bologna U.)
The LHCb experiment has been reporting remarkable $C\!P$-violation (CPV) measurements concerning the sectors of $b$ and $c$ quarks. [...]
arXiv:2307.03094.
- 4 p.
Fulltext
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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