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Theory of axial channeling of protons and antiprotons at small depths

  • Elementary-Particle Physics And Field Theory
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Russian Physics Journal Aims and scope

Abstract

The theory of channeling of proton and antiproton beams is constructed using Newton's equations with a transverse force resulting from the statistical ensemble of atoms of the crystal. The equations of motion are linearized by expanding time in series of the transverse force fluctuation, which plays the role of the small parameter. Stochastic instability of the transverse motion of the channeled particles, characterized by an exponential growth of the second moments of the distribution function with path length, is observed.

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References

  1. J. U. Andersen and A. Uguzzoni, Nucl. Instr. Meth. in Phys. Res.,48B, 181–186 (1990).

    Google Scholar 

  2. S. K. Andersen et al., Nucl. Phys.,167B, 1–40 (1980).

    Google Scholar 

  3. V. P. Koscheev, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 11, 95–96 (1989).

  4. V. P. Koshcheev, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 8, 83–87 (1991).

  5. V. P. Koshcheev, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 4, 123–124 (1990).

  6. I. Lindkhard, Usp. Fiz. Nauk,99, No. 2, 249–296 (1969).

    Google Scholar 

  7. A. I. Akhiezer, V. I. Truten', and N. F. Shul'ga, Phys. Rep.,203, No. 1, 289–343 (1991).

    Google Scholar 

  8. P. A. Doyle and P. S. Turner, Acta Cryst.,24A, No. 2, 390–397 (1968).

    Google Scholar 

  9. L. T. Chadderton, J. Appl. Cryst.,3, 429–465 (1970).

    Google Scholar 

  10. G. Moliere, Z. Naturforsch,2A, 133–145 (1947).

    Google Scholar 

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Authors
  1. V. P. Koshcheev
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  2. O. É. Krivosheev
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Additional information

Institute of Nuclear Physics at Tomsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 66–71, May, 1995.

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Koshcheev, V.P., Krivosheev, O.É. Theory of axial channeling of protons and antiprotons at small depths. Russ Phys J 38, 493–497 (1995). https://doi.org/10.1007/BF00559305

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  • DOI: https://doi.org/10.1007/BF00559305

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