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<p>For the hexagonal crystals Be, Mg, Sc, Ti, Co, Zn, Se, Y, Zr, Tc, Ru, Cd, Te, and La, the depths of potential wells for positively charged particles channeled along pyramidal directions have been calculated. Using the Barrett approximation, the axial interaction potentials averaged over thermal vibrations have been obtained. For relativistic positrons with Lorentz factors of 100, 150, and 200, the numbers of transverse energy levels in the corresponding potential wells have been determined. Numerical calculations of the spectral distributions of spontaneous radiation were performed for positron beams with angular divergences of θ<sub>0ξ,0η</sub> = (0.2, 0) mrad and θ<sub>0ξ,0η</sub> = (0, 0.2) mrad. It was shown that the radiation spectra arising from channeling along two pyramidal directions exhibit enhanced sensitivity to angular spreads caused by crystal mosaicity and structural defects. The obtained results may be used for diagnosing the quality and defectiveness of hexagonal crystals. In addition, for comparison, calculations were carried out for the depths of the potential wells, the numbers of transverse-energy levels supported by these wells, and the corresponding spectral distributions generated during the channeling of positron beams with the same energies and an angular divergence of θ<sub>0</sub> = 0.5 mrad along the main axes [100], [110], and [111] in diamond-type crystals, as well as in several crystals with BCC and FCC structures. It was demonstrated that the intensities of spontaneous radiation in the pyramidal directions of hexagonal crystals are two to three orders of magnitude higher than those in these crystals.</p>

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Features of channeling and spontaneous radiation of relativistic positrons moving along pyramidal directions in hexagonal crystals

  • 期刊论文

  • 发表日期：

    2026年6月15日

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  • N. V. Maksyuta,
  • V. I. Vysotskii,
  • D. N. Maksyuta,
  • S. V. Efimenko

摘要

For the hexagonal crystals Be, Mg, Sc, Ti, Co, Zn, Se, Y, Zr, Tc, Ru, Cd, Te, and La, the depths of potential wells for positively charged particles channeled along pyramidal directions have been calculated. Using the Barrett approximation, the axial interaction potentials averaged over thermal vibrations have been obtained. For relativistic positrons with Lorentz factors of 100, 150, and 200, the numbers of transverse energy levels in the corresponding potential wells have been determined. Numerical calculations of the spectral distributions of spontaneous radiation were performed for positron beams with angular divergences of θ0ξ,0η = (0.2, 0) mrad and θ0ξ,0η = (0, 0.2) mrad. It was shown that the radiation spectra arising from channeling along two pyramidal directions exhibit enhanced sensitivity to angular spreads caused by crystal mosaicity and structural defects. The obtained results may be used for diagnosing the quality and defectiveness of hexagonal crystals. In addition, for comparison, calculations were carried out for the depths of the potential wells, the numbers of transverse-energy levels supported by these wells, and the corresponding spectral distributions generated during the channeling of positron beams with the same energies and an angular divergence of θ0 = 0.5 mrad along the main axes [100], [110], and [111] in diamond-type crystals, as well as in several crystals with BCC and FCC structures. It was demonstrated that the intensities of spontaneous radiation in the pyramidal directions of hexagonal crystals are two to three orders of magnitude higher than those in these crystals.