1. Mathematical Descriptions of Axially Varying Penning Traps Stephanie Brown

2. AEgIS AEgIS aims to study the interaction between antimatter and gravity To make efficient measurements, the antimatter must be as cold as possible Start with cold anti-protons Proton electron Hydrogen Anti-Proton positron Anti-Hydrogen

3. Cooling Anti-protons will be cooled through sympathetic cooling in C 2 - C 2 - can be cooled by taking advantage of electronic transitions Sisyphus cooling Doppler cooling Evaporative cooling Cooling carbon requires motion

4. Penning Traps Carbon is held in a penning trap A magnetic mirror is used to facilitate motion However, under certain conditions the particles become trapped V = 0V = -V z r B

5. My Job Assess the effectiveness of our penning trap Define the separatrix High Field Region Low Field Region a b V || V _|_

6. Process Plasma frequency Low field density distribution potentialseparatrice s constants Ideal condition s assumptions

8. Process Plasma frequency Low field density distribution potentialseparatrice s constants Ideal condition s assumptions

10. Process Plasma frequency Low field density distribution potentialseparatrice s constants Ideal condition s assumptions

13. Process Plasma frequency Low field density distribution potentialseparatrice s constants Ideal condition s assumptions

15. Results

16. Conclusions Refining Trap Tuning initial conditions

17. Future Make an interactive code Use multiple iterations to obtain a more stable and physical value Test the result using other methods

18. European Culture

31. Questions?