The radiation of the positrons channeled between the planes of a crystal

The case of the channeling radiation for electrons was considered in previous work. The use of the electrons for producing and detecting this type of radiation has the advantage that available electron beams have much smaller transverse phase space than those of the positrons. In addition, the intensity of radiation of electrons is somewhat larger in comparison to the positrons simply due to the fact that the electron is captured by an attractive ion potential of the crystal and, therefore, it moves in a strong electric field. The positron, on the other hand, is captured by a repulsive potential formed by the two next ion planes. It moves in a rather weak field oscillating around the middle plane. This remoteness from ions increases the ratio of the channeling radiation intensity to the bremsstrahlung one making the experiment with the positrons easier to interpret. So it is worthwhile to fulfill the calculations also for the positrons. Our aim is to find the full average intensity of channeling radiation. This can be done easily for any given potential. This approach does not give the spectra of emitted radiation. The last one can be found only for equivalent harmonic oscillator. Since all characteristicsmore » of the radiation are of interest, the two approaches supplement each other and shed more light on the phenomena. 3 refs., 3 figs., 3 tabs.« less