- D. Fischer, R. Moshammer (Heidelberg), Ulrik Uggerhøj, Helge Knudsen
(Aarhus), Masaki Hori (Munich), Yasunori Yamazaki, Yasuyuki Matsuda, Naofumi Kuroda (Tokyo), Michael Charlton (Swansea) et al.
ELENA, CRYRING, or FLAIR ELENA, CRYRING, or FLAIR D. Fischer, R. - - PowerPoint PPT Presentation
The ReMi Experiment at The ReMi Experiment at ELENA, CRYRING, or FLAIR ELENA, CRYRING, or FLAIR D. Fischer, R. Moshammer (Heidelberg), Ulrik Uggerhj, Helge Knudsen (Aarhus), Masaki Hori (Munich), Yasunori Yamazaki, Yasuyuki Matsuda, Naofumi
(Aarhus), Masaki Hori (Munich), Yasunori Yamazaki, Yasuyuki Matsuda, Naofumi Kuroda (Tokyo), Michael Charlton (Swansea) et al.
(Aarhus), Masaki Hori (Munich), Yasunori Yamazaki, Yasuyuki Matsuda (Tokyo), Naofumi Kuroda (Tokyo), Michael Charlton (Swansea) et al.
Atom: t ≈ 20 as I = 1016 W/cm2
Atom: t ≈ 20 as I = 1016 W/cm2 Half-cycle pulses: t ~ 5 fs … 1 as I = 1016 W/cm2
interaction times
Atom: t ≈ 20 as I = 1016 W/cm2 Half-cycle pulses: t ~ 5 fs … 1 as I = 1016 W/cm2
positive ion
. 2 . 4 . 6 . 8 1 . 1 1 1 1 1
E n e r g y [ k e V ] C r
s s e c t i
[ 1
6
c m
2
]
C D W
I S F a i n s t e i n ( 9 4 ) C T M C S c h u l t z e t a l ( 8 9 )
1 fs … 0.3 fs … 0.1 fs … 30 as time
0.2 0.4 0.6 0.8 1.0 1 10 100 1000 10000
2C PWBA: Das et al (97) CDW-EIS: Fainstein (94) CTMC: Schultz (89) TDCC Foster et al (08) MEAOCC-3: Sahoo et al (05) MEAOCC-2 Igarashi et al (04) IPM-BGM-RESP-2: Keim et al (03) LTDSE: Schultz and Krstic (03) TDDFT/OEP-SIC: Tong et al (02) IPM-BGM-RESP-1: Kirchner et al (02) MEAOCC-1: Lee et al (00) MEHC: Bent et al (98) MFIM, 7 cuts: Reading et al (97) IEV: Wehrman et al (96) IPM: wehrman et al (96)
Energy [keV] Cross section [10
2]
1 fs … 0.3 fs … 0.1 fs … 30 as time
Knudsen et al PRL 101, 043201 (08)
0.2 0.4 0.6 0.8 1.0 1 10 100 1000 10000
CERN (08) CERN (94) CERN (90) 2C PWBA: Das et al (97) CDW-EIS: Fainstein (94) CTMC: Schultz (89) TDCC Foster et al (08) MEAOCC-3: Sahoo et al (05) MEAOCC-2 Igarashi et al (04) IPM-BGM-RESP-2: Keim et al (03) LTDSE: Schultz and Krstic (03) TDDFT/OEP-SIC: Tong et al (02) IPM-BGM-RESP-1: Kirchner et al (02) MEAOCC-1: Lee et al (00) MEHC: Bent et al (98) MFIM, 7 cuts: Reading et al (97) IEV: Wehrman et al (96) IPM: wehrman et al (96)
Energy [keV] Cross section [10
2]
1 fs … 0.3 fs … 0.1 fs … 30 as time
gas jet projectile beam recoil ion recoil ion electron
Knudsen et al PRL 101, 043201 (08)
0.2 0.4 0.6 0.8 1.0 1 10 100 1000 10000
CERN (08) CERN (94) CERN (90) 2C PWBA: Das et al (97) CDW-EIS: Fainstein (94) CTMC: Schultz (89) TDCC Foster et al (08) MEAOCC-3: Sahoo et al (05) MEAOCC-2 Igarashi et al (04) IPM-BGM-RESP-2: Keim et al (03) LTDSE: Schultz and Krstic (03) TDDFT/OEP-SIC: Tong et al (02) IPM-BGM-RESP-1: Kirchner et al (02) MEAOCC-1: Lee et al (00) MEHC: Bent et al (98) MFIM, 7 cuts: Reading et al (97) IEV: Wehrman et al (96) IPM: wehrman et al (96)
Energy [keV] Cross section [10
2]
1 fs … 0.3 fs … 0.1 fs … 30 as time At high energies: perturbative limit
|𝜔atom |𝜔cont incoming (plane) wave |𝜒P = 𝑓−𝑗𝑞
0𝑆
Cross section (Born series): d𝜏 = 8𝜌𝜃2
𝑟3 𝜔cont
𝑔
𝑓−𝑗𝑟∙𝑠
𝜔atom 𝑗 2d𝑟 + ℴ 𝜃3
Perturbation parameter: 𝜃 =
𝑎P 𝑤P
𝑟 𝑤 proj
Fully differential cross section d3𝜏 d𝐹 d𝑟 dΩe 1.2 GeV C6+ + He η = 0.1
Nature 422, 48 (2003)
𝑟 = 0.75 a.u.
CDW-EIS, D. Madison et al.
Cross section (Born series): d𝜏 = 8𝜌𝜃2
𝑟3 𝜔cont
𝑔
𝑓−𝑗𝑟∙𝑠
𝜔atom 𝑗 2d𝑟 + ℴ 𝜃3
Perturbation parameter: 𝜃 =
𝑎P 𝑤P
1.2 GeV C6+ + He η = 0.1
Nature 422, 48 (2003)
𝑟 = 0.75 a.u. Theory: CP, M. McGovern et al. PRA 81, 042704 (2010) TDCC, J. Colgan et al., JPB 44, 175205 (2011)
incoming (plane) wave 𝜇 = 2𝜌 𝑁𝑄𝑤𝑄 scattered wave
many source points many frequencies incoherent wave
many source points many frequencies incoherent wave
the coherence length 𝜀⊥ is the maximum slit distance still resulting in an interference pattern
𝜀⊥ ∆𝑞⊥= 𝜌 𝜀⊥ ≈ 10−3a.u. in the 1.2 GeV C6+ experiment
Effects were observed for ion-molecule collisions
(K.N. Egodapitiya, et al., PRL 106, 153202 (2011))
increase of 𝜀⊥ = 𝜌 ∆𝑞⊥
e- beam ion beam
ion storage ring TSR electron cooling:
0° 30° 60° 90° 120° 150° 180° 210° 240° 270° 300° 330°
1.2 GeV C6+ (𝜀⊥ ≈ 10−3a.u.) CDW-EIS for 1.2 GeV C6+ 3 MeV protons (𝜀⊥ ≈ 3 a.u.) CDW-EIS for 3 MeV protons
incoherent wave
Select small impact parameters 𝑐:
16 MeV O7+ (𝜀⊥ ≈ 0.35 a.u.) incoherent (Δ𝑐 > 𝜀⊥, single ionization) Coherent (Δ𝑐 < 𝜀⊥, transfer ionization)
0° 30° 60° 90° 120° 150° 180° 210° 240° 270° 300° 330°
transfer ionization ∆𝑐
500 keV Theories, pbar-He, McGovern et al. (09):
60 keV 3keV
1569 mm From http://indico.cern.ch/event/280768/session/2/contribution/8/material/slides/1.pdf Space for the REMI
Energy 100 keV Vacuum 3E-12 Torr beam emittance εxy 3 mm mrad beam diameter
pulse duration >50 ns number of injected pbars ca 1E7 intensity (directly after decceleration) 1E12 pbars/s
Daniel Fischer Johannes Goullon Renate Hubele Hannes Lindenblatt Katharina Schneider Michael Schuricke Shaofeng Zhang Xincheng Wang
MPIK:
Robert Moshammer Alexander Voitkiv Bennaceur Najjari Joachim Ullrich (now PTB) …
MST, Rolla, Missouri:
Michael Schulz
Aarhus University:
Helge Knudsen Ulrik Uggerhoej
MPQ, Munich:
Masaki Hori