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Luminosity variations with pellet targets. Anatoly Sidorin, Alexander Smirnov , Dmitry Krestnikov Joint Institute for Nuclear Research (JINR) Dubna, Russia http://lepta.jinr.ru/betacool. BETACOOL application over the world (since 1995). TSL, Uppsala MSL, Stockholm. JINR, Dubna
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Luminosity variations with pellet targets Anatoly Sidorin, Alexander Smirnov, Dmitry Krestnikov Joint Institute for Nuclear Research (JINR) Dubna, Russia http://lepta.jinr.ru/betacool PANDA meeting, ITEP
BETACOOL application over the world (since 1995) TSL, Uppsala MSL, Stockholm JINR, Dubna ITEP, Moscow ITMP, Sarov BINP, Novosibirsk FZJ, Jülich GSI, Darmstadt Erlangen Univ. MPI, Heidelberg CERN, Geneva München Univ. Fermilab, Batavia BNL, Upton Tech-X, Boulder RIKEN, Wako NIRS, Chiba Kyoto Univ. Hiroshima Univ. Beijing Univ. IMP, Lanzhou PANDA meeting, ITEP
HESR high resolution mode • Compensation of mean energy loss by RF • Stabilization of emittance at some large value to avoid longitudinal IBS PANDA meeting, ITEP
Typical parameters of the pellet target PANDA meeting, ITEP
After single crossing the pellet PANDA meeting, ITEP
Physical models of Internal target Longitudinal degree of freedom ; ; n1, n2 – number of excitation events to different atomic energy levels n3 – number of ionization events x – uniform random number Eloss–mean energy loss, x– Gaussian random Estr–energy fluctuations (straggling) N N DP/P0 DP/P0 DP/P0+Estr DP/P DP/P Eloss Eloss PANDA meeting, ITEP
Transverse degree of freedom q – rms scattering angle x – Gaussian random numbers c – screening angle N – number of scattering events x – uniform random numbers target target qstr PANDA meeting, ITEP
Pellet target(real space) The particle crosses the pellet when the following conditions are satisfied together: PANDA meeting, ITEP
Flux radius Mean distance between pellets Pellet diameter Effective density for Gaussian beam PANDA meeting, ITEP
Peak to mean ratio beam radius [cm] h – distance between pellet rf – flux radius s– beam radius PANDA meeting, ITEP
Pellet target modelfor homogeneous flux pellets flux R_real = 1020 cm-2 s R_effec = 1015 cm-2 N_step = 106 turns N_event = R_effec * N_step / R_real = 10 events x Particle probability in real space PANDA meeting, ITEP
Pellet target modelfor cylindrical flux Number of events: 1) Integration over betatron oscillation 2) Integration over flux width 3) Number of turns per integration step pellets flux s Number of events for model particle Real models of interaction with pellet x Particle probability in real space PANDA meeting, ITEP
Estimation of target thicknesson WASA@COSY (D.Prasuhn) • beam life time without target: twithout=859 minutes • beam life time with target: twith=2.4 minutes Average vacuum pressure over the ring: 5*10-9 mbar (corresponding to 2.5*1012 cm-2) Target thickness = 352*2.5*1012 = 8.8*1014 cm-2 PANDA meeting, ITEP
After target optimization Average vacuum pressure over the ring: 5*10-9 mbar (corresponding to 2.5*1012 cm-2) • beam life time without target: twithout=859 minutes • beam life time with target: twith=77.3 seconds (!!) Target thickness = 667*2.5*1012 = 1.7*1015 cm-2 PANDA meeting, ITEP
Simulation of particle losseswith BETACOOL code Effective density 4x1015 cm-2 that in 2 times more which was estimated from beam life time PANDA meeting, ITEP
SIMULATIONS OF PELLET TARGET EFFECTS WITH THE PROGRAM PETAG01 A. Dolinskii, V. Gostishchev, M. Steck, GSI, Darmstadt, Germany O. Bezshyyko, Kiev National University, Kiev, Ukraine The luminosity versus time calculated every 20000 turns. The effective target density 5⋅1015 cm-2 N=1011, E=8 GeV. PANDA meeting, ITEP
Experiments on WASA@COSY(M.Wolke) Forward Detector single rate PANDA meeting, ITEP
Luminosity variation with pellets pellets Beam profiles Luminosity variation Events PANDA meeting, ITEP
Summary • Estimation of the effective target density have to be done with particle dynamics simulation • Luminosity variation with pellet target can be calculated using information about beam profiles and pellet distributions • Target experiments with the stochastic cooling and the burrier bucket can be compared with the simulation in real time PANDA meeting, ITEP