11.01.2013 Views

Workshop on Polarized Electron Sources and Polarimeters

Workshop on Polarized Electron Sources and Polarimeters

Workshop on Polarized Electron Sources and Polarimeters

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

0<br />

55<br />

Y, mm X, mm 55<br />

1 mm<br />

1 mm<br />

0<br />

0 2 4 6 8 10 12<br />

Cooling time, s<br />

FWHMy, mm<br />

FWHMx, mm<br />

10<br />

8<br />

6<br />

4<br />

0<br />

25<br />

20<br />

15<br />

10<br />

5<br />

x=1.8 s<br />

0<br />

0 2 4 6 8 10 12<br />

Cooling time, s<br />

y=1.4 s<br />

FIGURE 4. Transverse electr<strong>on</strong> cooling of 97 keV/u CF + [15]. Centre-of-mass positi<strong>on</strong>s of the C <strong>and</strong><br />

F neutral fragments vs time, recorded 12 m downstream of the electr<strong>on</strong> target by the imaging detector<br />

<strong>and</strong> indicating rms divergence angles of about 3∙10 -5 .<br />

Imaging detectors 12 m downstream of the electr<strong>on</strong> target were used to measure<br />

neutral recombinati<strong>on</strong> fragments <strong>and</strong> to analyze the dissociati<strong>on</strong> dynamics. The<br />

transverse momentum of the dissociati<strong>on</strong> fragments is recorded event by event using a<br />

spatially resolving multi-hit detector (two-dimensi<strong>on</strong>al fragment imaging) [22].<br />

For atomic i<strong>on</strong> beams the spatial profile of the neutral atoms produced by<br />

recombinati<strong>on</strong> in the electr<strong>on</strong> target directly reflects the angular divergence of the i<strong>on</strong><br />

beams [23]. For molecules, the imaging profile can not be used directly to m<strong>on</strong>itor<br />

transverse i<strong>on</strong> beam properties during the phase space cooling due to the significant<br />

kinetic energy release in the dissociati<strong>on</strong> process. However, this can be achieved by<br />

m<strong>on</strong>itoring the centre-of-mass of all fragment hit positi<strong>on</strong>s for a given recombinati<strong>on</strong><br />

event, which reflects the directi<strong>on</strong> of the molecular i<strong>on</strong> before it captured an electr<strong>on</strong><br />

in the target [24].<br />

Figure 4 (left) shows the distributi<strong>on</strong> spread of the centre-of-mass as a functi<strong>on</strong> of<br />

the cooling time derived from correlated two-hit events for both transverse directi<strong>on</strong>s.<br />

The FWHM of the centre-of-mass distributi<strong>on</strong> vs time is also shown in Fig. 4 (right).<br />

A transverse cooling time below 2 s was achieved, dem<strong>on</strong>strating a high cooling<br />

efficiency of the photocathode electr<strong>on</strong> beam. An estimati<strong>on</strong> of the cooling time from<br />

Eq. (2), assuming an isotropic electr<strong>on</strong> beam with 1 meV temperature, Lc=3.3 <strong>and</strong> the<br />

length of the target to be about 2.2% of the ring circumference, gives a value of about<br />

1.5 s for a cold i<strong>on</strong> beam <strong>and</strong> 6 s for a hot i<strong>on</strong> beam (with a diameter of the injected<br />

i<strong>on</strong> beam about 2 times larger than that of the electr<strong>on</strong> beam). After 6 s a FWHM of<br />

the centre-of-mass distributi<strong>on</strong> of 1 mm (horiz<strong>on</strong>tally) <strong>and</strong> 0.7 mm (vertically) was<br />

measured by the imaging detector. Assuming a l<strong>on</strong>gitudinal i<strong>on</strong> spread of about 5∙10 -5<br />

<strong>and</strong> using the horiz<strong>on</strong>tal TSR dispersi<strong>on</strong> of 2 m <strong>and</strong> the β functi<strong>on</strong>s of 3.9 m<br />

(horiz<strong>on</strong>tal) <strong>and</strong> 1.5 m (vertical) at the target secti<strong>on</strong>, the divergence <strong>and</strong> size of the<br />

i<strong>on</strong> beam can be derived. The divergence was found to be of about 3∙10 -5 in both<br />

transverse directi<strong>on</strong>s <strong>and</strong> the 1σ size was about 0.04 mm (vertically) <strong>and</strong> 0.2 mm<br />

(horiz<strong>on</strong>tally). The larger size of the i<strong>on</strong> beam in the horiz<strong>on</strong>tal directi<strong>on</strong> arises from

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!