Analysis of resonance depolarization of Dirac particles in strong focusing high energy synchrotrons for any direction of the initial polarization

1968 ◽  
Vol 60 (1) ◽  
pp. 52-60 ◽  
Author(s):  
V. Ernst
2016 ◽  
Vol 31 (23) ◽  
pp. 1650126 ◽  
Author(s):  
Nguyen Suan Han ◽  
Le Anh Dung ◽  
Nguyen Nhu Xuan ◽  
Vu Toan Thang

The derivation of the Glauber type representation for the high energy scattering amplitude of particles of spin 1/2 is given within the framework of the Dirac equation in the Foldy–Wouthuysen (FW) representation and two-component formalism. The differential cross-sections on the Yukawa and Gaussian potentials are also considered and discussed.


In this brief review, I propose to give an account of the main facts about the cosmic radiation as they are at present known to us, and of the outstanding problems which await solution. The intention is to provide a suitable background against which to discuss the advantages to be gained by experiments with artificial satellites. I shall address myself particularly to those who are not specialists in the subject. During the past ten years, two aspects of the study of cosmic radiation have received particular attention: 1. The cosmic radiation provides us with a source of particles of much greater energy than any which we shall be able to generate in the next one or two decades. The great acclerators under construction will give us beams of protons with energies up to 25 GeV. It is possible that machines of similar design, employing the strong-focusing principle, will be constructed for energies up to 50 GeV. Such a machine has been designed, for example, by Russian scientists. But the construction of even larger machines would encounter great technical difficulties. Further, when a high-energy proton collides with one at rest, the energy made available in the C -system of the interaction, E a , increases only slowly with the speed of the primary particle, E p ; E a ~ E 1/2 p ; and it is this quantity E a which determines the amount of energy which can appear in the form of the rest-mass of new particles created in the collision. In this situation, it is not clear that the advantages to be gained would justify the great expense of even larger machines based on present methods.


2011 ◽  
Vol 26 (10n11) ◽  
pp. 1690-1712 ◽  
Author(s):  
C. JOHNSTONE ◽  
M. BERZ ◽  
K. MAKINO ◽  
S. KOSCIELNIAK ◽  
P. SNOPOK

Accelerators are playing increasingly important roles in basic science, technology, and medicine. Ultra high-intensity and high-energy (GeV) proton drivers are a critical technology for accelerator-driven sub-critical reactors (ADS) and many HEP programs (Muon Collider) but remain particularly challenging, encountering duty cycle and space-charge limits in the synchrotron and machine size concerns in the weaker-focusing cyclotrons; a 10–20 MW proton driver is not presently considered technically achievable with conventional re-circulating accelerators. One, as-yet, unexplored re-circulating accelerator, the Fixed-field Alternating Gradient or FFAG, is an attractive alternative to the other approaches to a high-power beam source. Its strong focusing optics can mitigate space charge effects and achieve higher bunch charges than are possible in a cyclotron, and a recent innovation in design has coupled stable tunes with isochronous orbits, making the FFAG capable of fixed-frequency, CW acceleration, as in the classical cyclotron but beyond their energy reach, well into the relativistic regime. This new concept has been advanced in non-scaling nonlinear FFAGs using powerful new methodologies developed for FFAG accelerator design and simulation. The machine described here has the high average current advantage and duty cycle of the cyclotron (without using broadband RF frequencies) in combination with the strong focusing, smaller losses, and energy variability that are more typical of the synchrotron. The current industrial and medical standard is a cyclotron, but a competing CW FFAG could promote a shift in this baseline. This paper reports on these new advances in FFAG accelerator technology and presents advanced modeling tools for fixed-field accelerators unique to the code COSY INFINITY.1


1967 ◽  
Vol 162 (2) ◽  
pp. 254-259 ◽  
Author(s):  
S. Mukherjee

1952 ◽  
Vol 88 (5) ◽  
pp. 1190-1196 ◽  
Author(s):  
Ernest D. Courant ◽  
M. Stanley Livingston ◽  
Hartland S. Snyder

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