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Title: Calculating the polarization lifetime from the Thomas-Bargmann-Michel-Telegdi equation

Journal Article · · Physical Review Accelerators and Beams
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It was observed at the Relativistic Heavy Ion Collider that the polarization of the stored beam decays by 0.17 to 3% per hour. This effect could not be simulated up to now since the simulation time for an exact calculation exceeded the computer capacity. To solve this problem the action of the whole arc was considered as one element acting on the spin and not, as before, each optical element in the arc individually (called lattice independent integration). In addition to former simulations the coupling of synchrotron and betatron motions in the beam interaction regions and their action on the polarization were taken into account (called addition of longitudinal dynamics). It is shown that with these two changes the action on the polarization life time can be explained.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
AC02-98CH10886; AC02-05CH11231; SC0012704
OSTI ID:
1566891
Alternate ID(s):
OSTI ID: 1566301
Report Number(s):
BNL-212129-2019-JAAM; PRABCJ; 091001
Journal Information:
Physical Review Accelerators and Beams, Journal Name: Physical Review Accelerators and Beams Vol. 22 Journal Issue: 9; ISSN 2469-9888
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (11)

Depolarisation d'un faisceau de protons polarises dans un synchrotron journal June 1960
Overlapping spin synchrotron sideband resonances journal July 1996
Approximations for crossing two nearby spin resonances journal January 2015
Observation of a Hybrid Spin Resonance journal February 2000
Analytic approximation of the head-tail phase difference from continuous transverse excitation for measuring chromaticity journal March 2008
Chromaticity and wakefield effect on the transverse motion of longitudinal bunch slices in the Fermilab Tevatron journal August 2008
The Magnus expansion and some of its applications journal January 2009
Accurate and efficient spin integration for particle accelerators journal February 2015
Spin coupling resonance and suppression in the AGS journal May 2004
Polarization response of RHIC electron lens lattices journal October 2016
The ray-tracing code Zgoubi – Status journal December 2014

Figures / Tables (13)

FIG. 1(p. 3)figure FIG. 1
FIG. 2(p. 4)figure FIG. 2
FIG. 3(p. 8)figure FIG. 3
FIG. 4(p. 8)figure FIG. 4
FIG. 5(p. 8)figure FIG. 5
FIG. 6(p. 9)figure FIG. 6
FIG. 7(p. 9)figure FIG. 7
FIG. 8(p. 9)figure FIG. 8
FIG. 10(p. 10)figure FIG. 10
FIG. 9(p. 10)figure FIG. 9
FIG. 11(p. 11)figure FIG. 11
TABLE I(p. 12)table TABLE I
TABLE II(p. 12)table TABLE II

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