QUARK IN THE EXTERNAL GLUON FIELD OF MAGNETIC TYPE: COHERENT STATES
Abstract
The possibility of introducing coherent states of particles moving in constant homogeneous non-Abelian gauge fields is shown. An important feature of the model considered in the article is that each color degree of freedom corresponds to its characteristic size.
Keywords
coherent states,
non-Abelian gauge fields,
color charge,
Dirac equation,
Hermitian matrix,
SU(3)-transformations,
solutions
Supporting agencies: The work was realized within the framework of the agreement with INP BSU and supported by BRFFR grant F16Д-003. The authors would like to thank Viktor M. Red’kov for useful advice and participants in the seminar of Laboratory of Theoretical Physics of the B. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus for fruitful discussions of the work.
About the Authors
Yu. A. Kurochkin
B. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus
Belarus
Belarus
D. Sc. (Physics and Mathematics), Head of the Center “Theoretical Physics”
68, Nezavisimosty Ave., 220072, Minsk
S. N. Harkusha
B. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus
Belarus
Belarus
Researcher, Laboratory of Theoretical Physics
68, Nezavisimosty Ave., 220072, Minsk
Yu. A. Kulchitsky
B. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus; Joint Institute for Nuclear Research
Belarus
Belarus
Leading Scientist
68, Nezavisimosty Ave., 220072, Minsk
D. Sc. (Physics and Mathematics), Head of the Sector, Laboratory of Nuclear Problems
6, Joliot-Curie Str., Dubna, Moscow region
N. A. Russakovich
Joint Institute for Nuclear Research
Russian Federation
Russian Federation
D. Sc. (Physics and Mathematics), Leading Scientist, Laboratory of Nuclear Problems
6, Joliot-Curie Str., 141980, Dubna, Moscow region
References
1. Kurochkin Y., Kulchitsky Y., Harkusha S., Russakovich N. Hadron as Coherent State on the Horosphere of the Lobachevsky Momentum Space. Physics of the Particles and Nuclei Letters, 2016, Vol. 13, no. 3, pp. 285–288. Doi: 0.1134/ s1547477116030158
2. Kurochkin Yu. A, Rybak I. Yu., Shelkovyi Dz. V. Coherent states on horospheric three-dimensional Lobachevsky space. Journal of Mathematical Physics, 2016, vol. 57, no. 8, p. 082111. Doi: 10.1063/1.4960474
3. Akhiezer A. I., Berestetskii V. B. Quantum electrodynamics. Мoscow: Nauka Publ., 1969. 623 p. (in Russian).
4. Baz’ A. I., Zel’dovich Ya. B., Perelomov A. M. Scattering, reaction and decays in nonrelativistic quantum mechanics. Мoscow: Nauka Publ., 1971. 543 p. (in Russian).
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