Abstract
The results of solving the direct problem of analytical description of the dependence of the stopping power of a substance for a beam of monoenergetic protons in a wide range of primary energies of charged particles are presented. For the first time, a statistical model is used as a basic concept; it is based on taking into account the discrete nature of the processes of the multiple scattering of charged particles in a thin substance layer. Also, the dependence of the energy losses of particles on their velocity in four different energy ranges is taken into account in detail. The data of a comparison between the performed calculations and experimental measurements of the stopping power for beryllium, carbon, aluminum, silicon, and silver known from scientific publications are presented. The possibility of diagnosing the properties of a target material irradiated with protons is shown based on solving the inverse problem, namely, by comparing the results of calculating and measuring the stopping power for low-energy protons.
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REFERENCES
ICRU Report 49. Stopping Powers and Ranges for Protons and Alpha Particles (Int. Commission on Radiat. Units Meas., 1993).
H. H. Andersen and J. F. Ziegler, Hydrogen Stopping Powers and Ranges in All Elements (Pergamon, New York, 1977).
ICRU Report 37. Stopping Powers for Electrons and Positrons (Int. Commission on Radiat. Units Meas., 1984).
H. A. Bethe, Ann. Phys. (New York) 5, 325 (1930).
H. A. Bethe, Handbuch Phys. 24, 273 (1933).
R. M. Sternheimer, in Fundamental Principles and Methods of Particle Detection, Ed. by C.-S. Wu and L. C. L. Yuan (Academic, New York, 1961; Inostrannaya Literatura, Moscow, 1963).
H. Paul, Electronic stopping power of matter for ions: Graphs, data, comments and programs (IAEA, Vienne, 2021). https://www-nds.iaca.org/stopping.
N. N. Mikheev, Izv. Ross. Akad. Nauk. Ser. Fiz. 64, 2137 (2000).
N. N. Mikheev, J. Surf. Invest.: X-ray, Synchrotron Neutron Tech. 4, 289 (2010).
L. D. Landau and E. M. Livshits, Quantum Mechanics. Nonrelativistic Theory (Nauka, Moscow, 1974).
L. D. Landau, Collection of Papers (Nauka, Moscow, 1969), Vol. 1, p. 482.
H. Bichsel, Nucl. Instrum. Methods Phys. Res., Sect. A 562, 154 (2006).
K. Siegbahn, C. Nordling, A. Fahlman, et al., Molecular and Solid State Structure Studied by Means of Electron Spectroscopy (Almaquist and Wiksel, Uppsala, 1967; Mir, Moscow, 1971).
Physical Quantities: Handbook (Energoatomizdat, Moscow, 1991).
F. B. Larkins, Atom. Data Nucl. Data Tables 20, 313 (1977).
K. D. Sevier, Atom. Data Nucl. Data Tables 24, 323 (1979).
H. D. Maccabee, M. R. Raju, and C. A. Tobias, Phys. Rev. 165, 469 (1968).
J. F. Bak, A. Burenkov, J. B. B. Peterson, et al., Nucl. Phys. B 288, 681 (1987).
C. Tschalar and H. D. Maccabee, Phys. Rev. B 1, 2863 (1970).
L. V. Spencer and U. Fano, Phys. Rev. 93, 1172 (1954).
P. V. Vavilov, Zh. Eksp. Teor. Fiz. 32, 920 (1957).
E. P. Arhipov and Yu. V. Gott, Zh. Eksp. Teor. Fiz. 56, 1146 (1969).
Yu. V. Gott and V. G. Tel’kovskii, Fiz. Tverd. Tela 9, 2221 (1968).
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The work was supported by the Ministry of Science and Higher Education of the Russian Federation.
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Mikheev, N.N. Stopping Power of a Substance for a Beam of Monoenergetic Protons with Energies of 1.0 keV–1.0 GeV. J. Surf. Investig. 15 (Suppl 1), S85–S91 (2021). https://doi.org/10.1134/S1027451022020148
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DOI: https://doi.org/10.1134/S1027451022020148