Acceleration of Heavy Ions generated by ECR and EBIS
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1 Acceleration of Heavy Ions generated by ECR and EBIS R.Becker, Goethe-Universität, Frankfurt, Germany O. Kester, NSCL, MSU, USA
2 OUTLINE Ion production in ECR and EBIS is governed by the same collision physics, however with different weights: 1) Stepwise electron impact ionization for producing highly charged ions ) Charge exchange limits the highest charge states 3) Radiative Recombination (RR) asks for highest electron energies 4) Ion heating by small angle elastic Coulomb collisions raises emittances 5) ion-ion-cooling (gas mixing) improves high charge state performance The magnetic emittance requires careful design of the LEBT, especially for ECRs.
3 VENUS Daniela Leitner et al.
4 Recent Results with VENUS in comparison with other high performance sources SECRAL: IMP, Lanzhou, Zhao et al. GTS: Grenoble, Hitz et al. VENUS SECRAL [3,8] GTS [11] f(ghz) 8 or O Ar Xe * U Daniela Leitner et al. ed Curren nt [eµa] Analyz Venus results O O kW 8 GHz 770 W 18 GHz Uranium Mass to Charge Ratio
5 BNL-EBIS
6 EBIS results
7 Charge balance dni dt [ ( ) ] ion ion RR RR σ n σ + σ n + n = neυ e i 1 i i 1 i i+ 1 i i 1 i σi+ 1 i i+ 1 [ ] chex chex σ n n noυ ion i i 1 i σi+ 1 i i+ 1 ν coll i ieu exp kt ieuw kt ion w ion n i Growth by ionisation Loss by ionisation Loss by radiative radiation Win from radiative radiation Loss by charge exchange Win frim charge exchange Loss of confinement of fheated dions
8 -1 3 Ar 15+ Ar 16+ x 10-1 cm Lotz ionisation cross section from 16 to 17 for Z=18 Lotz cross sections 1 Approximate ionisation energies, ionisation cross sections and required jτ-values for bare ions Ion E [V] i [ev] σ [cm ] j*τ [Cb/cm ] Electron Energy (kev) C * N * O * σ = i i+ 1 ln { Ee Ei, nl} [ ] *10 cm nl Ee * E i, nl Ne * Ar * Kr * Xe * Pb * U *
9 Ionisation energies
10 Charge exchange The approximation formula of Salzborn and Müller is based on many measurements with low chage states, however, we have nothing better! σ [ ] i i 1 = i P0 cm In EBIS/T the pressure usually is low enough to avoid CX, only dangerous for extremely high charge states, where ion cooling becomes necessary. In ECRs CX usually limits the build up if higher charge states and produces the wide range of charge state with almost identical abundance.
11 Charge exchange versus Ionisation Vacuum pressure at which gain by ionization equals the loss by charge exchange for lead ion 10-3 Press sure (mbar) A/cm 100 A/cm P b Charge states
12 Radiative Recombination RR is time-reversed photo-ionisation. Therefore RR cross sections may be calculated from cross sections for photo ionisation, which is a well established procedure (T. Stöhlker) : σ = n Z ph 4παa l nl, 3 l = l± 1l + 1 > ( k) 0 ( 1+ n κ ) g(n,l;κ l RR σ nl ( k ) = ( hν ) k 1 m c e σ ph nl ( k )
13 RR versus Ionisation Balance energy at which the gain by ionization equals loss by radiative recombination for lead ions 10 5 Electron energy (ev) P b Charge states
14 Heating Radial well voltages equ- w =kt i to trap multiply charged ions heated by electrons of energy 1 kev (dashed lines) and 10 kev (full lines), typical for ECR and EBIS/T CNO Ne Ar 10 3 Ar Kr Xe Pb Kr 10 Xe Ion energy (e ev) Ne Pb Charge states
15 Results of CBSIM Relative 1 54 Abundance Relative Abundance % Relative Abundance 80 % j τ Cb/cm j τ 1000 Cb/cm Relative Abundance 80 % j τ Cb/cm j τ Cb/cm
16 Charge state breeder setup Post accelerator or experiment Low energetic q + ions Isotopes from 1+ ion source Switch yard EBIS/T ECRIS Analyzing magnet Low energetic 1 + ions Buffer gas emittance cooler
17 Charge breeding ECRs and EBIS have become popular as charge breeders. Nevertheless these are still ion sources for highly charged ions, but the problem of generating simple or difficult or rare singly charged ions has been outsourced leave the hard work to the specialist! ACCU-EBIS TOFEBIS-COOLER U(Z) U(Z) A 1+ A 1+ A q+ hot ion cooled ion A q+ hot ion cooled ion Z Z R. Becker, Proc. EPAC 199, Berlin, March 4-8
18 Magnetic Emittance The conservation of the magnetic moment (Busch s theorem) results in skew trajectories outside of the magnetic field. When this beam is treated as a round one, it has a considerable magnetic emittance: π eq Br ε abs = 4 M U 0 [ m] For modern ECR and EBIS B z =3T and U 0 =0 kv. For bare nuclei we then obtain: r (m) ε abs (m) x x 10-6 Note that dimension m for the emittance gives the same numbers as the old fashioned mm x mrad *) EBIS beam are usually smaller than 1 mm, therefore the magnetic emittance will be negligible in contrast to ECRs, where special attention must be given to transport such a beam through a LEBT, especially, when this is including an analyzing magnet for mass separation. *) R.Becker and W.B.Herrmannsfeldt, Rev. Sci. Instrum.77 (006) 03B907
19 Accelerator applications ECR is an intense dc source, with afterglow also for ms pulses EBIS is an intense sepulsed source exceeding ECRs in pulse current and charge-to-mass - ratio. Dc beams at low intensity have ultra-low emittances. ECR, dc beams: cyclotrons (all over the world) ECR, pulsed beams: Synchrotrons (CERN, NIRS, GSI) EBIS,,pulsed beams: Synchrotrons (Dubna, BNL) EBIS, dc beams: atomic physics studies (Frankfurt, SNLL, KSU)
20 Charge selection in LEBT EBIS: REX-ISOLDE MSU ReA3 ECRIS: TRIUMF charge state booster testsource
21 Field guard BNL LEBT without charge selection e valve Electron collector Ion lens Adaptor/16-pole deflector Accelerating tube Magnet lens coil Gridded lens EBIS TRAP B RFQ Spherical bender n Cryopumps yp p EC magnet coil Gate valve ve Flat horizontal o deflectors ec
22 Matching to the accelerator pre-bunching scheme multi harmonic buncher RFQ linac or cyclotron ISAC facility (TRIUMF), ReA3 (MSU) HMI (Berlin) RFQ-bunching scheme REX-ISOLDE (CERN) RFQ with shaper and buncher linac or cyclotron GSI (High charge state injector), BNL (RHIC EBIS injector)
23 Conclusions EBIS and ECR are complementary ion sources for accelerators, either as primary sources or as charge state breeders: EBIS is naturally a pulsed source with high intensity (ma) in short ( µs) pulses of highest h charge states. ECR are naturally dc sources of high intensity for medium charge states. t The atomic collision physics is the same in both sources, however with different influence of charge exchange and radiative recombination, due to vacuum pressure and electron energy distribution.
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