205 research outputs found

    Determining β * in the Tevatron

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    Abstract Using the two additional Beam Position Monitors (BPM's) found on either side of one of the Interaction Points (the so-called Collision Point Monitors), one can determine, in principle, the single-turn matrix for one BPM location or the other and, hence, the lattice functions at that location. Once the amplitude function and its slope at one BPM is found, it is straight forward to compute the amplitude function through the collision hall and the location of its minimum, and the value of the function at the collision point (β * )

    Wednesday, April 20, 2011

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    Abstract The design process of modern high-energy synchrotrons involves the development of the accelerator lattice in pieces, typically an arc made up of repetitive cells interrupted by occasional matched insertions for injection, extraction, acceleration, and various other systems required by the facility. The focusing elements of an insertion must be such that the periodic amplitude functions at the ends of the insertion match those of the cells on either side of the insertion. How well this match has to be and its sensitivity to the global betatron tunes of the accelerator as well as the particle momentum are the underlying themes of this report. Many of the relationships also are of use to the designers of beamlines which are used to transport and inject beams into a synchrotron. Most of the content of this paper is not new to the accelerator physics community, but we thought it would be useful to place this important, basic information all in one place. Besides the classic work of Courant and Snyder, our sources include other papers, internal reports, and numerous discussions with our colleagues. II
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