Channeling formulary   updated June 6, 2006  carrigan@fnal.gov (subject line must be sensible)

Please let me know of errors  and omissions!

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Channeling formulas

This is expanded from my contribution to A. Chao and M. Tigner, eds   The Handbook of Accelerator Physics, World Scientific, Singapore (2002)

The BCK annotations below refer to V.M. Biryukov, V.I. Kotov, Yu.A. Chesnokov, Crystal Channeling and its Application at High Energy Accelerators, Springer (1997), the standard reference in this field.
Review information
 Critical angle
Bent crystal channeling
Dechanneling
Bending transmission
Extraction
Collimation		 Focusing
Spin precession
Cooling
Acceleration
Radiation damage
Channeling radiation
Review information

useful channeling reviews are available:

S.P. Moller, NIM A361 (1995) 403

R.A. Carrigan, Jr. and J. Ellison, Relativistic Channeling, Plenum (1987)

recent developments and a formula collection can be found in

H. Andersen, R. Carrigan, E. Uggerhoj eds., NIM B119 (1996)

N. Doble et al, NIM B119 (1996) 181

H. Andersen, S. Bellucci, V. Biryukov eds., NIM B234 (2005)

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 web sites summarizing channeling work at IHEP and Fermilab:

IHEP channeling (Serpukhov)

Fermilab channeling         


Critical angle

crit angle
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 Fermilab conventional channeling bibiliography
BCK section 1.3

Bent crystal channeling

bent xtal chan

top		 Fermilab conventional channeling bibliography
BCK chapter 2

Dechanneling

dechanneling

top		 Fermilab dechanneling bibliography
BCK section 1.4
Bending transmission - external beams

bend trans   
top		 Fermilab conventional channeling bibliography
Fermilab bending info
BCK chapter 2
Extraction

extraction

top		 Fermilab extraction bibliography
Fermilab extraction info
BCK chapter 4
Collimation

 collimation

top		 Fermilab collimation
More on Fermilab collimation
 
M. Maslov, N. Mokhov, I. Yazynin, SSCL-484 (1991).

Focusing

 focusing

top		 BCK section 5.6

Spin precession

spin precession

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 Fermilab channeling spin precession bibliography
Fermilab channeling spin precession info
BCK section 6.2

Cooling

cooling

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 Fermilab high bunch charge channeling bibliography

Z. Huang, P. Chen, R. Ruth, PRL 74, 1759 (1995)

Acceleration

acceleration

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 Fermilab exotic accelerator info

Radiation damage

radiation damage

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 Fermilab radiation damage bibliography
BCK section 2.5.4
crystal after exposure in 28 GeV beam at Brookhaven (scale 1/16 inch/div)
beam damaged crystal

Channeling radiation

                        

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 See M.A. Kumakhov, R. Wedell, Radiation of Relativistic Light Particles During Interaction with Single Crystals, Spektrum Physics (1991)

 Fermilab channeling radiation bibliography

BCK section  6.3.2