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EBIS and EBIT - Spallation Neutron Source

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Magnetic Emittance<br />

The conservation of the magnetic moment (Busch‘s theorem) results in skew trajectories outside of<br />

the magnetic field. Treating the extracted beam as a round one, results in an additional „magnetic“ emittance:<br />

For modern <strong>EBIS</strong> <strong>and</strong> <strong>EBIT</strong> B z =3T <strong>and</strong> U 0 =20 kV, producing bare light nuclei we then obtain:<br />

r (m)<br />

10 -3<br />

10 -4<br />

abs (µ) *<br />

5.2<br />

5.2 x 10 -2<br />

<strong>EBIS</strong> beams are usually smaller than 1 mm, therefore the magnetic emittance will be negligible.<br />

For <strong>EBIT</strong> with 100 µ beams even more.<br />

2<br />

2eq<br />

Br<br />

abs <br />

4 M U 0<br />

Note that dimension µ for the emittance gives the same numbers as the old fashioned mm x mrad *)<br />

m *) R.Becker <strong>and</strong> W.B.Herrmannsfeldt, Wha Pi <strong>and</strong> mrad?, Rev. Sci. Instrum.77 (2006) 03B907

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