One-dimensional ordering of ultra-low-density ion beams in a storage ring

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 69, Issue 6 2, 2004, Pages

  Okamoto, H ^a   Okabe, K ^a   Yuri, Y ^a   Mohl D ^b   Sessler, A M ^c  

^a HIROSHIMA UNIVERSITY   (Japan)

^b CERN   (Switzerland)

^c LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; APPROXIMATION THEORY; COOLING; ELECTRONS; HAMILTONIANS; ION BEAMS; MATHEMATICAL MODELS; PARAMETER ESTIMATION;

BEAM ORDERING; CURVATURE; MOMENTUM; ULTRA-LOW DENSITY ION BEAMS;

STORAGE RINGS;

EID: 42749103733     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.066504     Document Type: Article

References (18)

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12. This does not necessarily mean the absence of interparticle correlation within the whole beam. Even if individual particles freely move around for most of the time, they have been longitudinally bounded after the transition, which can give rise to the abrupt change of the Schottky noise power.
13. The equilibrium temperature of an electron-cooled ion beam is generally determined by the balance between the cooling force and heating due to intrabeam scattering (unless some instability such as coherent resonance is present). As the beam density decreases, the heating rate becomes lower and, accordingly, we can achieve a lower equilibrium temperature. If the ability of an electron cooler is improved (worsened), then the jump of the momentum spread will occur at higher (lower) line density.
14. Note, however, that the line density of the proton beam in NAP-M was several orders of magnitude higher than that of the heavy ion beams in ESR. As pointed out in Refs. [2,5], the nature of the NAP-M event should be physically different from that of the ESR event.
15. I. Meshkov, A. Sidorin, A. Smirnov, E. Syresin, and T. Katayama, ISSN 1344-3887, RIKEN-AF-AC-34 (May, 2002); see, also, I. Meshkov, A. Sidorin, A. Smirnov, E. Syresin, T. Katayama, H. Tsutsui, and D. Möhl, Nucl. Instrum. Methods Phys. Res. A (to be published).
16. I. Meshkov, A. Sidorin, A. Smirnov, E. Syresin, and T. Katayama, ISSN 1344-3887, RIKEN-AF-AC-34 (May, 2002); see, also, I. Meshkov, A. Sidorin, A. Smirnov, E. Syresin, T. Katayama, H. Tsutsui, and D. Möhl, Nucl. Instrum. Methods Phys. Res. A (to be published).
17. y is actually a reasonable assumption in most cooler storage rings for ion beams.
18. At high T̂, the scattering pattern is quite different from what has been assumed in Ref. [12]. Since T̂∥ must be low enough for reflection, two countertraveling particles approach very slowly in the longitudinal direction. Consequently, the reflection process advances "gradually" as illustrated in Fig. 4(a).