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Title: Tolerance of imperfections in high-energy circular accelerators for polarized protons

Abstract

Realistic calculations show that imperfection-spin-resonance strengths {epsilon}{sub imp} can be corrected to {epsilon}{sub imp}{lt}1, at 20 TeV, Superconducting Super Collider (SSC) energy. Statistical analysis agrees well with the numerical calculation. The polarized proton must be accelerated through overlapping intrinsic and imperfection resonances. We found a correlation between the tolerable strengths of intrinsic and imperfection resonances {epsilon}{sub int} and {epsilon}{sub imp}, that is, at smaller {epsilon}{sub int}, the tolerable {epsilon}{sub imp} becomes larger, and vice versa. To obtain a larger tolerable {epsilon}{sub imp}, we suggest that the number of snakes should be chosen according to {ital N}{sub {ital S}}{ge}5{epsilon}{sub int}. When a large number of snakes is used in the accelerator, the tolerable deviation of the spin rotational angle from 180{degree} for each snake becomes more stringent. The error in the spin rotation angle gives rise to (1) an equivalent picket-fence imperfection resonance {epsilon}{sub imp}{sup eq} and (2) an energy-dependent spin tune {nu}{sub {ital s}}. Both of these effects may cause depolarization. Further, when the snake axis is not properly arranged, the spin tune deviates from half-integer. In this case, depolarization may arise from the snake resonances. Our analysis indicates that acceleration of polarized protons in the SSC is technically feasiblemore » if care is taken in constructing the snakes.« less

Authors:
;  [1]
  1. Accelerator Development Department, Bldg. 1005S, Brookhaven National Laboratory, Associated Universities, Inc., Upton, New York 11973 (US)
Publication Date:
OSTI Identifier:
6908667
Resource Type:
Journal Article
Journal Name:
Physical Review, D (Particles Fields); (USA)
Additional Journal Information:
Journal Volume: 41:1; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; POLARIZED BEAMS; ACCELERATION; SUPERCONDUCTING SUPER COLLIDER; ENERGY DEPENDENCE; NUMERICAL ANALYSIS; PROTON BEAMS; RESONANCE; SPIN; STATISTICS; TEV RANGE 10-100; ANGULAR MOMENTUM; BEAMS; ENERGY RANGE; MATHEMATICS; NUCLEON BEAMS; PARTICLE BEAMS; PARTICLE PROPERTIES; STORAGE RINGS; TEV RANGE; 430100* - Particle Accelerators- Design, Development, & Operation

Citation Formats

Lee, S Y, and Courant, E D. Tolerance of imperfections in high-energy circular accelerators for polarized protons. United States: N. p., 1990. Web. doi:10.1103/PhysRevD.41.292.
Lee, S Y, & Courant, E D. Tolerance of imperfections in high-energy circular accelerators for polarized protons. United States. https://doi.org/10.1103/PhysRevD.41.292
Lee, S Y, and Courant, E D. 1990. "Tolerance of imperfections in high-energy circular accelerators for polarized protons". United States. https://doi.org/10.1103/PhysRevD.41.292.
@article{osti_6908667,
title = {Tolerance of imperfections in high-energy circular accelerators for polarized protons},
author = {Lee, S Y and Courant, E D},
abstractNote = {Realistic calculations show that imperfection-spin-resonance strengths {epsilon}{sub imp} can be corrected to {epsilon}{sub imp}{lt}1, at 20 TeV, Superconducting Super Collider (SSC) energy. Statistical analysis agrees well with the numerical calculation. The polarized proton must be accelerated through overlapping intrinsic and imperfection resonances. We found a correlation between the tolerable strengths of intrinsic and imperfection resonances {epsilon}{sub int} and {epsilon}{sub imp}, that is, at smaller {epsilon}{sub int}, the tolerable {epsilon}{sub imp} becomes larger, and vice versa. To obtain a larger tolerable {epsilon}{sub imp}, we suggest that the number of snakes should be chosen according to {ital N}{sub {ital S}}{ge}5{epsilon}{sub int}. When a large number of snakes is used in the accelerator, the tolerable deviation of the spin rotational angle from 180{degree} for each snake becomes more stringent. The error in the spin rotation angle gives rise to (1) an equivalent picket-fence imperfection resonance {epsilon}{sub imp}{sup eq} and (2) an energy-dependent spin tune {nu}{sub {ital s}}. Both of these effects may cause depolarization. Further, when the snake axis is not properly arranged, the spin tune deviates from half-integer. In this case, depolarization may arise from the snake resonances. Our analysis indicates that acceleration of polarized protons in the SSC is technically feasible if care is taken in constructing the snakes.},
doi = {10.1103/PhysRevD.41.292},
url = {https://www.osti.gov/biblio/6908667}, journal = {Physical Review, D (Particles Fields); (USA)},
issn = {0556-2821},
number = ,
volume = 41:1,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 1990},
month = {Mon Jan 01 00:00:00 EST 1990}
}