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As a stationary solution of the Vlasov-Fokker-Planck equation, the Haissinski equation predicts the equilibrium line density of a bunch that circulates in a storage ring for a given wake function. This paper shows that some equations…

Accelerator Physics · Physics 2023-12-21 Demin Zhou , Takuya Ishibashi , Gaku Mitsuka , Makoto Tobiyama , Karl Bane , Linhao Zhang

In this paper we propose an improved empirical equation for the bunch lengthening in electron storage rings. The comparisons are made between the analytical and experimental results, and the agreements are quite well. This improved equation…

Accelerator Physics · Physics 2007-05-23 Jie Gao

In electron storage rings, it is possible to increase the bunch length by applying phase modulation to the radio frequency accelerating field by choosing appropriate parameters for the modulation. Such a bunch lengthening effect improves…

Recent studies have shown that the prospects for significantly increasing bunch intensities in the LHC for the luminosity upgrade (HL-LHC) may be severely limited by the available cryogenic cooling capacity and the electron-cloud (EC)…

Accelerator Physics · Physics 2013-06-21 C. M. Bhat , H. Damerau , S. Hancock , E. Mahner , F. Caspers , G. Iadarola , T. Argyropoulos , F. Zimmermann

We presented a novel concept of longitudinal bunch train compression capable of manipulating relativistic electron beam in range of hundreds of meters. This concept has the potential to compress the electron beam with a high ratio and raise…

Accelerator Physics · Physics 2023-04-11 An Li , Jiaru Shi , Hao Zha , Qiang Gao , Liuyuan Zhou , Huaibi Chen

A theoretical approach for describing the electromagnetic radiation produced by prolonged electron bunch propagating in the lattice of metallic wires of finite length is presented. This approach is based on vibrator antenna theory and…

Accelerator Physics · Physics 2019-04-30 Sergey N. Galyamin , Viktor V. Vorobev , Andrei Benediktovitch

Analogous to a model that predicts the linear scaling of the binding energy of a nucleus from the number of nucleons, a simple model was developed to account for the observed linear variation of the quantum-chemically computed total…

Chemical Physics · Physics 2009-03-13 H. G. Miller , C. J. H. Schutte , P. H. van Rooyen

The method of a determination of a quantum wave impedance for an arbitrary piecewise constant potential was developed. On the base of this method both the well-known iterative formula \cite{Khondker_Khan_Anwar:1988} and alternative ways for…

Quantum Physics · Physics 2020-10-14 O. I. Hryhorchak

The evolution of the electron density during electron cloud formation can be reproduced using a bunch-to-bunch iterative map formalism. The reliability of this formalism has been proved for RHIC [1] and LHC [2]. The linear coefficient has a…

Accelerator Physics · Physics 2014-11-21 T. Demma , S. Petracca , A. Stabile

We presented a novel concept of longitudinal bunch train compression capable of manipulating relativistic electron beam in range of hundreds of meters. This concept has the potential to compress the electron beam generated by conditional…

Accelerator Physics · Physics 2023-06-16 An Li , Jiaru Shi , Hao Zha , Qiang Gao , Liuyuan Zhou , Huaibi Chen

The complete expression of the heavy quark-antiquark potential up to order $1/m^2$ is known from QCD in terms of Wilson loop expectation values. We use that expression and a mapping, assumed to be valid at large distances, between Wilson…

High Energy Physics - Phenomenology · Physics 2015-01-07 Nora Brambilla , Michael Groher , Hector E. Martinez , Antonio Vairo

A Poisson-Boltzmann approach is used to determine the double-layer integral and differential capacitances in a finite-length situation for an electrolytic cell. By means of simple analytical calculations, it is shown how these quantities…

Statistical Mechanics · Physics 2012-04-03 Roberta Rarumy Ribeiro de Almeida , Luiz Roberto Evangelista , Giovanni Barbero

Charged particle bunch length detection is one of the most challenging measurements in particle and accelerator physics, especially when the bunch length reduces below tens of femtoseconds. Since these measurements are most critical in high…

Accelerator Physics · Physics 2020-05-13 Allan Gillespie

Transverse mode coupling instability of bunched beam is investigated in the paper at different form of the bunches with space charge included. Equation of transverse motion of the bunch in parabolic potential well of synchrotron…

Accelerator Physics · Physics 2019-05-08 V. Balbekov

In this paper, we use an envelope equation-based approach to obtain analytical scaling laws for the shortest pulse length achievable using radiofrequency (RF) based bunch compression. The derived formulas elucidate the dependencies on the…

Accelerator Physics · Physics 2021-06-07 Paul Denham , Pietro Musumeci

Realization of a short bunch beam by manipulating the longitudinal phase space distribution with a finite longitudinal dispersion following an off-crest accelera- tion is a widely used technique. The technique was applied in a compact test…

We consider the sampling of the coupled cluster expansion within stochastic coupled cluster theory. Observing the limitations of previous approaches due to the inherently non-linear behaviour of a coupled cluster wavefunction representation…

Chemical Physics · Physics 2018-08-14 Charles J. C. Scott , Alex J. W. Thom

Ultrashort electron bunches are useful for applications like ultrafast imaging and coherent radiation production. Currently, however, the shortest achievable bunches, at attosecond time scales, have only been realized in the single or very…

Accelerator Physics · Physics 2019-04-19 J. Lim , Y. D. Chong , L. J. Wong

We discuss design considerations and the realization of a magnetic double-well potential on an atom chip using current-carrying wires. Stability requirements for the trapping potential lead to a typical size of order microns for such a…

A version of Noether's second theorem using Lagrange multipliers is used to investigate fluid relabelling symmetries conservation laws in magnetohydrodynamics (MHD). We obtain a new generalized potential vorticity type conservation equation…

Mathematical Physics · Physics 2019-02-20 G. M. Webb , R. L. Mace
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