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

Okamoto, Hiromi; Okabe, Kota; Yuri, Yosuke; Möhl, D.; Sessler, Andrew M.

doi:10.1103/physreve.69.066504

Cited by 8 publications

(3 citation statements)

References 8 publications

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“…For example, for an inflationary potential with V = 1 2 m 2 φ 2 , with H ≃ 3.6 × 10 −5 and ǫ ≃ η ′ ≃ 0.01, for M = 10H, σ ≃ 1.36 in the above example. Note that earlier analysis in the literature which constraint M to be greater than 100H [7,8] do not apply to the the above example as the calm excited states are special in that they do not leave any signature in the power spectrum.…”

Section: Power Spectrummentioning

confidence: 94%

A note on calm excited states of inflation

Ashoorioon

Shiu

2011

J. Cosmol. Astropart. Phys.

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We identify a two-parameter family of excited states within slow-roll inflation for which either the corrections to the two-point function or the characteristic signatures of excited states in the three-point functioni.e. the enhancement for the flattened momenta configurations-are absent. These excited states may nonetheless violate the adiabaticity condition maximally. We dub these initial states of inflation calm excited states. We show that these two sets do not intersect, i.e., those that leave the power-spectrum invariant can be distinguished from their bispectra, and vice versa. The same set of calm excited states that leave the two-point function invariant for slow-roll inflation, do the same task for DBI inflation. However, at the level of three-point function, the calm excited states whose flattened configuration signature is absent for slow-roll inflation, will lead to an enhancement for DBI inflation generally, although the signature is smaller than what suggested by earlier analysis. This example also illustrates that imposing the Wronskian condition is important for obtaining a correct estimate of the non-Gaussian signatures.

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Section: Power Spectrummentioning

confidence: 94%

A note on calm excited states of inflation

Ashoorioon

Shiu

2011

J. Cosmol. Astropart. Phys.

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“…In the field of beam physics, other cooling techniques, such as electron cooling and stochastic cooling, have also been employed to control the rest-frame temperature of ion beams. By using the electron cooling technique, one-dimensional ordering of an ultra-low-density ion beam has been established at ESR and CRYRING [4,5] (although it is physically different from a crystalline state [6]). The laser cooling experiment at PALLAS, a circular RFQ trap [7], has shown the observation of 2D and 3D crystalline beams at the very low beam energy around 1 eV.…”

Section: Introductionmentioning

confidence: 99%

Heavy ion storage ring without linear dispersion

Ikegami

Noda

Tanabe

et al. 2004

Phys. Rev. ST Accel. Beams

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A possible method to realize a dispersion-free storage ring is described. The simultaneous use of a magnetic field B and an electric field E in bending regions, where the two fields are set perpendicular to each other, enables us to control the effect of momentum dispersion. When the relation 1 1= 2 0 E ÿv 0 B is satisfied for a beam with the velocity v 0 , the linear dispersion can be completely eliminated all around the ring. It is shown that the acceleration and deceleration induced by the electrostatic deflector counteracts the heating mechanism due to the shearing force from dipole magnets. The dispersion-free system is thus beneficial to producing ultracold beams. It looks probable that the technique will allow one to achieve three-dimensional crystalline beams. At ICR Kyoto University, an ion cooler storage ring S-LSR oriented for various beam physics purposes is now under construction. The application of the present idea to S-LSR is discussed and the actual design of the dispersionless bend is given.

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“…Figure 3(b) shows a boundary (dotted line) between 1-D ordered and unordered regions numerically calculated from the MD simulation. 10) If the temperatures fall below the dotted line, 1-D phase transition occurs. The solid line shows the relation of T k ¼ 0:02T ?…”

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confidence: 99%

Longitudinal and Transverse Coupling of the Beam Temperature Caused by the Laser Cooling of²⁴Mg⁺

Tanabe¹,

Ishikawa²,

Nakao³

et al. 2008

Appl. Phys. Expr.

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A laser-cooling experiment of a 40 keV 24Mg+ beam was carried out in the small laser-equipped storage ring (S-LSR). A laser co-propagating with the beam and an induction accelerator were utilized in the experiment. The lowest longitudinal temperature achieved in the present experiment was 3.6 K for 3×104 ions stored in the ring. It was found that the number of stored ions is related to the temperature at the final equilibrium state of the laser cooling. This relation shows that the longitudinal temperature of the laser-cooled beam linearly couples with the transverse one through intra-beam scattering.

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

Cited by 8 publications

References 8 publications

A note on calm excited states of inflation

A note on calm excited states of inflation

Heavy ion storage ring without linear dispersion

Longitudinal and Transverse Coupling of the Beam Temperature Caused by the Laser Cooling of²⁴Mg⁺

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

Cited by 8 publications

References 8 publications

A note on calm excited states of inflation

A note on calm excited states of inflation

Heavy ion storage ring without linear dispersion

Longitudinal and Transverse Coupling of the Beam Temperature Caused by the Laser Cooling of24Mg+

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Product

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Longitudinal and Transverse Coupling of the Beam Temperature Caused by the Laser Cooling of²⁴Mg⁺