A5006854283- Particle Accelerators and Free-Electron Lasers
- Particle accelerators and beam dynamics
- Superconducting Materials and Applications
- Atomic and Subatomic Physics Research
- Magnetic confinement fusion research
- Physics of Superconductivity and Magnetism
- Magnetic properties of thin films
- Mathematical functions and polynomials
- Statistical Distribution Estimation and Applications
- Quantum and Classical Electrodynamics
- Advanced Mathematical Identities
- Gyrotron and Vacuum Electronics Research
- Advanced NMR Techniques and Applications
- Bayesian Methods and Mixture Models
- Advanced Data Storage Technologies
- Quantum chaos and dynamical systems
- Experimental and Theoretical Physics Studies
- Atomic and Molecular Physics
- Mathematical Approximation and Integration
- Quantum and electron transport phenomena
- Numerical methods for differential equations
- Advanced Chemical Physics Studies
- Mathematics and Applications
- Quantum, superfluid, helium dynamics
- Particle physics theoretical and experimental studies
Convergent Science (United States)
2005-2025
Rajiv Gandhi University of Health Sciences
2024
Brookhaven National Laboratory
1990-2009
Budker Institute of Nuclear Physics
2008-2009
Fermi National Accelerator Laboratory
1988-2003
University of Michigan–Ann Arbor
1987-1989
Deutsches Elektronen-Synchrotron DESY
1988
Cornell University
1986-1987
We present a comprehensive survey of the dynamics spin-polarized beams in high-energy particle accelerators. A major theme this review is to clarify distinction between properties an individual particle—a spin—and that beam—the polarization. include work from number institutions, including high- and medium-energy facilities, synchrotron light sources muon storage rings (including proposal measure electric dipole moment) and, briefly, linear accelerators recirculating linacs. High-precision...
We studied the G\ensuremath{\gamma}=2 imperfection depolarizing resonance at 108 MeV, both with and without a Siberian snake, by varying strength while storing beams of 104- 120-MeV polarized protons Indiana University Cooler Ring. used cylindrically symmetric polarimeter to simultaneously study effect on vertical radial components polarization. AT 104 MeV we found that snake eliminated nearby resonance.
Compound Poisson distributions have been employed by many authors to fit experimental data, typically via the method of moments or maximum likelihood estimation. We propose a new technique and apply it several sets published data. It yields better fits than those obtained original for set widely compound (in some cases, significantly better). The employs power spectrum (the absolute square characteristic function). idea is suggested as useful addition tools parameter estimation distributions.
A new algorithm is presented to evaluate the equilibrium degree of polarization in a high-energy electron storage ring (the Derbenev-Kondratenko formula). The includes all modes orbital motion, arbitrary orders principle, thus facilitating calculation so-called ``spin resonances,'' especially higher-order resonances. applicable rings geometry and energy, and, particular, able deal with overlapping Precautions are described ensure stability algorithm. In approximation linear dynamics,...
A detailed exposition on the origin and buildup of polarization in high-energy electron storage rings is presented. Fundamental, but not clearly understood, theoretical results are rederived clarified (Ya. S. Derbenev A. M. Kondratenko, Zh. Eksp. Teor. Fiz. 64, 1918 (1973) [Sov. Phys.---JETP 37, 968 (1973)]). It explained how to diagonalize Hamiltonian a ring, particular spin-dependent terms, first order Planck's constant. Relevant perturbations, their time scales, various ensemble averages,...
Derbenev and Kondratenko calculated the equilibrium degree of radiative electron polarization in 1973 (Ya. S. A. M. Kondratenko, Zh. Eksp. Teor. Fiz. 64, 1918 (1973) [Sov. Phys.---JETP 37, 968 (1973)]), more recently Bell Leinaas did likewise for a limited model, but following different approach [J. J. Leinaas, Nucl. Phys. B 284, 488 (1987)]. They report resonance structure. In this paper notations, formalisms, viewpoints two sets authors are compared, connection between their treatments is...
We review modern techniques to accelerate spin-polarized beams high energy and preserve their polarization in storage rings. Crucial the success of such work is use so-called Siberian Snakes. explain these devices reason for necessity. Closely related Snakes concept 'spin rotators'. The designs merits several types spin rotators are examined. Theoretical with rotators, experimental results from rings, reviewed, including Snake resonances.
In a recent paper, the authors derived exact solution for probability mass function of geometric distribution order<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>k</mml:mi></mml:mrow></mml:math>, expressing roots associated auxiliary equation in terms generating functions Fuss-Catalan numbers. This paper applies above formalism numbers to treat additional problems pertaining occurrences success runs. New analytical expressions and so forth are derived....
We employ the so-called ``spin response formalism,'' which is a linear theory applied to spin dynamics in circular accelerators, analyze recent measurements of spin-flip resonance widths. The data was taken using radial field rf dipole flipper flip spins stored polarized proton and deuteron beams at COSY storage ring. Numerical calculations are presented, provide satisfactory fit data.
The so-called spin response formalism, which is linear theory applied to dynamics in storage rings, can calculate the resonance strengths for flippers rings of arbitrary structure, including with Siberian Snakes and rotators. We functions a model RHIC lattice, various scenarios rotator settings.
Bai and Roser {Phys. Rev. ST Accel. Beams 11, 091001 (2008) [Phys. 12, 019901(E) (2009)]} have published an idea for a design of spin flipper, consisting two radial field rf dipoles with correlated phases, to operate full strength Siberian Snakes, at tune $\frac{1}{2}$. Some details their analysis are oversimplified.