Parameters of ejected beam 20 November 2012 ADUC

Parameters of ejected beam 20 November 2012, ADUC - ELENA Meeting Pavel Belochitskii 1

Which parameters of ELENA beam are important for experiments? Beam parameters important for users: • Beam energy • Repetition rate • Number of antiprotons in a bunch • Beam size and (to significantly less extent) divergence • Bunch length • Stability of beam position at the end of line • Other parameters can be added on request of experiments. . . 20 November 2012, ADUC - ELENA Meeting Pavel Belochitskii 2

Beam energy choice ELENA extraction energy is chosen 100 ke. V (13. 7 Me. V/c) and limited by: • space charge limit for intensity of antiproton beam, N ~ β 2γ 3 • transverse and longitudinal beam emittances blow up due to intra beam scattering (IBS) with growth rate 1/τ ~ exp(const·β-3) • beam emittance blow up due to residual gas scattering Δε ~ 1/γ-2β-3 which impose strong requirements to high vacuum in machine 3· 10 -12 Torr • high quality of electron beam (ultra low transverse and longitudinal temperature) used for cooling of antiprotons • Possibility to use electrostatic elements for beam transfer from ELENA to experiments -> bunch delivery to different experiments during one turn in machine is possible! • Foil thickness for separation of transfer line and trap vacuum 20 November 2012, ADUC - ELENA Meeting Pavel Belochitskii 3

Repetition rate AD cycle is about 100 sec now 20 November 2012, ADUC - ELENA Meeting ELENA cycle is expected about 25 sec, well fitting in AD cycle Pavel Belochitskii 4

Bunch length • After discussions with experiments the bunch length of 300 nsec (1. 3 m at 100 ke. V) is accepted to achieve effective capture of antiprotons in a trap with typical size • One can make bunch shorter (with bigger energy spread in it, which we less concern) by implementing proper programming of RF voltage during bunch compression • By implementing proper programming of RF voltage during bunch compression one can make bunch shorter with bigger energy spread in it • The bigger momentum spread will cause the problems in beam transfer line due to big dispersion resulting a big gap in electrostatic deflector, making this device difficult and expensive • The problems caused by (relatively) big momentum spread can be solved by bunched beam cooling (to be discussed later) yet other problem exists 20 November 2012, ADUC - ELENA Meeting Pavel Belochitskii 5

Space charge limitation • • • The shorter bunch is the bigger is incoherent (Laslett) tune shift Here rp=1. 55 · 10 -18 m, β and γ are relativistic factors, Nb is a number of particles in a bunch, εx, y is a beam emittances and C is the ring circumference. The coefficients F 1 and F 2 depend on bunch profiles and equal to 1 for uniform transverse and longitudinal beam distributions, and bigger for other (more realistic) distributions. The beam emittance for the first case corresponds to 100% of beam, and for the second case to 95% of beam. The bigger tune shift is, the bigger is the area in a betatron diagram populated by particles, the more chance is to loose part of them (see slide 8) For ELENA ring we put into design conservative estimate of ΔQ=0. 1 with possibly achievable ΔQ=0. 2 If one wants shorter bunch, the emittances will be bigger => optimal compromise must be chosen Example 1: ΔQ=0. 1, F=2 (Gaussian beam in transverse plane), bunch length lb=1. 3 m (300 ns, beam has a uniform distribution over its length) , beam emittances εx= εy =4π mm mrad, C=30. 4 m, the bunch intensity limit is N=0. 75· 107. 20 November 2012, ADUC - ELENA Meeting Pavel Belochitskii 6

Space charge limit in ELENA for realistic beam distribution over the bunch length • Example 2: ΔQ=0. 1, F=2 (Gaussian beam in transverse plane), bunch length for 95% of beam is lb=1. 3 m (300 ns, beam is bunch with use of one RF harmonic) , beam emittances εx= εy =4π mm mrad, C=30. 4 m, the bunch intensity limit is N=0. 40· 107. • Example 3: ΔQ=0. 1, F=2 (Gaussian beam in transverse plane), bunch length for 95% of beam lb=1. 3 m (300 ns, beam is bunch with use of two RF harmonics, main and doubled) , beam emittances εx= εy =4π mm mrad, C=30. 4 m, the bunch intensity limit is N=0. 61· 107. 20 November 2012, ADUC - ELENA Meeting Pavel Belochitskii 7

Beam distribution over the length at the end of bunch compression Bunching on harmonic h=4, F 2=nmax/nav=1. 87 Courtesy by Steve Hancock 20 November 2012, ADUC - ELENA Meeting Bunching on harmonic h=4+8, F 2=nmax/nav=1. 22 Courtesy by Steve Hancock Pavel Belochitskii 8

What may happens if one operates close to space charge limit? • The chosen betatron tunes for ELENA are Qx=2. 3 and Qy=1. 3 (single particle tunes). With space charge effect they becomes lower for particles around the beam center, while stay the same for particles at the edge of beam. One may expect possible tune spread for ELENA in the range ΔQ=0. 1÷ 0. 2, for bigger tune spread some particles will be lost How long time beam is in these dangerous conditions: • About 20 msec at the end of bunching process plus extra 20 msec at extraction plateau waiting synchronization between RF and extraction kicker(s), totally about 40 msec • Crossing of 4 th order resonances should not be a problem • In any case, the real intensity limitation in ELENA ring due to space charge will be known during commissioning only 20 November 2012, ADUC - ELENA Meeting Pavel Belochitskii 9

Beam size at focal point • The request from experiments is to keep beam size σx, y≈1 mm (95% of beam within in 2σ) • With Dx ≈0 at focal point the transverse beam size depends on beam emittance (defined in the ring) and by beta function value (defined at the end of transfer line) The minimal value of ejected beam emittance is limited by space charge and IBS value Bunched beam cooling helps here as well, minimizing ejected beam emittances. Preliminary estimates shows that for basic scenario with 4 bunches extracted and 4. 5· 106 particles in bunch emittances εx ≈ 6 π mm mrad and εy ≈ 4 π mm mrad are feasible The beta function values have to fulfil conditions at the focal point βx≤ 0. 16 m and βy ≤ 0. 25 m to provide 1 mm beam size • • • 20 November 2012, ADUC - ELENA Meeting Pavel Belochitskii 10

Bunched beam cooling in ELENA • Two main reason to implement it in ELENA: Ø to reduce Δp/p of extracted beam to make it transport to users easier Ø to reduce emittances blown up by IBS during bunch compression • • The speed of bunch compression must be adjusted during commissioning, making it slow enough to use electron cooling in its full potential. On the other side it should not be too slow, to avoid beam losses due to scattering on residual gas and due to nonlinearities of optics Initial simulations shows that we need 2÷ 5 sec for bunched beam cooling to use the full potential of electron cooling. This imposes some lim itation of extraction rate from ELENA in special cases MD’s in AD: bunch compression time was increased from 0. 5 sec to 5 sec, momentum spread reduced from Δp/p =4. 1· 10 -4 down to Δp/p =1. 3· 10 -4 , transverse emittances are the equilibrium values. 20 November 2012, ADUC - ELENA Meeting Pavel Belochitskii 11

Which beam intensity do we expect in ELENA? • • About 4· 107 antiprotons routinely captured at injection plateau in AD, about 3· 107 are extracted Assuming 100% efficiency of beam transfer from AD to ELENA and 60% deceleration efficiency in ELENA ring about 1. 8· 107 can be send to experiments With space charge limit 0. 6· 107 antiprotons at least 3 or 4 bunches will be prepared for extraction to avoid space charge problems If better deceleration efficiency will be achieved, i. e. 80% with intensity 2. 4· 10 7 particles, then one can safely extract 4 bunches. In case of possibility to operate ELENA with higher tune shift extraction of 3 bunches might be an option again. 20 November 2012, ADUC - ELENA Meeting Pavel Belochitskii 12

ELENA main parameters (to be confirmed by TDR) Momentum range, Me. V/c 100 - 13. 7 Energy range, Me. V 5. 3 - 0. 1 Circumference, m 30. 4 Intensity of injected beam 3 × 107 Intensity of ejected beam 1. 8 × 107 Number of extracted bunches 3 or 4 Emittances (h/v) at 100 ke. V, π·mm·mrad, [95%] 6/4 ∆p/p before extraction (bunched beam cooling), [95%] 2· 10− 3 Bunch length at 100 ke. V, m / ns 1. 3 / 300 Required (dynamic) vacuum, Torr 3 × 10− 12 20 November 2012, ADUC - ELENA Meeting Pavel Belochitskii 13

Comments to ELENA main parameters • Some parameters fixed firmly (extracted energy) • Some can be varied during operation (extracted beam intensity, number of bunches 3 or 4) • Some will be defined during commissioning (maximal intensity in one bunch, beam emittances hence beam size at focal point). The reason for that is not well known IBS rates and electron cooling rates • Bunch length might be improved in case we can operate with Laslett tune shift higher than 0. 1 • Beam intensity might be improved with years due to better deceleration efficiency (AD case) • Extraction on harmonics h=1 or h=2 looks difficult yet possible with some beam manipulations and can be developed later 20 November 2012, ADUC - ELENA Meeting Pavel Belochitskii 14

Thanks for your attention! 20 November 2012, ADUC - ELENA Meeting Pavel Belochitskii 15