1. Introduction to the MAGIX Target General Design
Stephan Aulenbacher
MAGIX Collaboration Meeting

2. Topics The Tube Target The Jet-Target Summary Concept Design
Density profile simulation
The Jet-Target
Technical implementation
Measurement of the density profile
Summary

3. General Concept Injection Beam Energy recovering Evacuation
Gas Injection
Injection of the gas directly into the vacuum system  three options
Electon Beam
Focus at the position of the target in order to pass thin tubes
Differential Pumping
Gas must be pumped away quickly
Injection
Beam
Energy recovering
Evacuation

4. Target Designs Tube Target Molecular Flow inside of a tube Jet Target
Gas Jet flows through the Chamber perpendicular to the beam
Cluster-Jet Target
Formation of clusters in the Jet

5. Approach 1: The Tube Target
Luminosity
~1035 cm-2s-1
~1031 cm-2s-1 (pol.)
Spin Polarization
Possibility to inject spin polarized Hydrogen
Windows
Beam scatteres on the gas without passing windows
Scattered particles has to pass the walls

6. The Tube Target T-Shaped channel made out of 20 μm Mylar Film Aluminum
Beam should scatter directly on the gas.
Windowless design
Energy losses and multiple-scattering-angles are large at 100 MeV .
Scattered particles have
to pass the wall
Focused Beam has to pass thin structures
Accurate structure
Aluminum
Mylar/Kapton
Beryllium
T-Shaped channel made out of 20 μm Mylar Film

7. Technical Implementation

8. Simulation of the density profile

9. Simulation of the density profile

10. Approach 2: The Jet Target
~1035 cm-2s-1
Luminosity
Neither the beam nor the scattered particles have to pass a wall
No windows at all
Not possible due to high pressures
Spinpolarization
Laval-Nozzle
Beam
Catcher

11. Nozzle Dynamics
Behavior from Bernoullis law
acceleration
deceleration

12. Nozzle Dynamics Derivate along the streamline Speed of Sound
Continuity equation for an isentropic process
𝜚𝑢𝐴=𝑐𝑜𝑛𝑠𝑡.
1 𝑢 𝑑𝑢 𝑑𝑥 + 1 𝐴 𝑑𝐴 𝑑𝑥 + 1 𝜚 𝑑𝜚 𝑑𝑥 =0
Derivate along the streamline
𝑎 2 = 𝜕𝑝 𝜕𝜚
Speed of Sound
1 𝑢 𝑑𝑢 𝑑𝑥 + 1 𝐴 𝑑𝐴 𝑑𝑥 + 1 𝑎 2 𝜚 𝑑𝑝 𝑑𝑥 =0
𝜕𝑢 𝜕𝑥 𝑢=− 1 𝜌 𝜕𝑝 𝜕𝑥
Component of the Euler equation along the streamline
1 𝑢 𝑑𝑢 𝑑𝑥 1− 𝑀 2 =− 1 𝐴 𝑑𝐴 𝑑𝑥 11

13. } Nozzle Dynamics 1 𝑢 𝑑𝑢 𝑑𝑥 1− 𝑀 2 =− 1 𝐴 𝑑𝐴 𝑑𝑥 𝑝=𝑆 𝜌 𝜅
1 𝑢 𝑑𝑢 𝑑𝑥 1− 𝑀 2 =− 1 𝐴 𝑑𝐴 𝑑𝑥
𝑝 𝑀 = 𝑝 𝜅−1 2 𝑀 2 𝜅 𝜅−1 }
𝑇(𝑀)= 𝑇 𝜅−1 2 𝑀 2
𝑝=𝑆 𝜌 𝜅
𝜌(𝑀)= 𝜌 𝜅−1 2 𝑀 𝜅−1
𝑚 =𝜌𝑢𝐴= 𝜌 ∗ 𝑢 ∗ 𝐴 ∗
𝐴 𝑀 = 𝐴 ∗ 𝑀 2 𝜅 𝜅−1 2 𝑀 𝜅+1 2(𝜅−1)

14. Nozzle Design
Leads to flux only in horizontal direction

15. Technical implementation
Laser Sintering
Accuracy better than 100 µm
Not yet feasible!!!
Work in progress

16. Measurement of the gas density
Integral necessary to determine the luminosity
Profile necessary for vertex reconstruction
Density profile
Mach-Zehnder Interferometry

17. Measurement of the gas density

18. Summary Tube Target Luminosity: ~1031 cm-2s-1 Spin-polarization
Energy losses and multiple scattering
Jet Target
Luminosity: ~1036 cm-2s-1
No windows
Next step: Using the jet Target for a measurement of the proton
(Talk at 15:40)