Numerical solutions of the equations of quantum field theory describing bound s-states of systems of two particles for single boson exchange potentials depending on the energy of the system have been found. On the basis of these solutions, the transition frequencies of the system from the first excited state to the ground state and the decay widths of the bound state of two particles into two photons have been calculated. The obtained energy spectra and decay widths are compared with the experimentally measured values for positronium.
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References
A. A. Logunov and A. N. Tavkhelidze, Nuovo Cimento, 29, No. 2, 380–399 (1963).
V. G. Kadyshevsky, Nucl. Phys., B6, No. 1, 125–148 (1968).
V. N. Kapshai, V. I. Savrin, and N. B. Skachkov, Teor. Mat. Fiz., 69, No. 3, 400–410 (1986).
A. A. Arkhipov, Teor. Mat. Fiz., 83, No. 3, 358–373 (1990).
V. V. Dvoeglazov, N. B. Skachkov, Yu. N. Tyukhtyaev, et al., Yad. Fiz., 54, No. 3, 658–668 (1991).
V. N. Kapshai and G. Yu. Tyumenkov, Russ. Phys. J., 34, No. 7, 587–589 (1991).
R. N. Faustov, Teor. Mat. Fiz., 3, No. 2, 240–254 (1970).
8. N. N. Kalitkin, A. B. Al’shin, E. A. Al’shina, and B. V. Rogova, Calculations on Quasi-Uniform Grids [in Russian], Fizmatlit, Moscow (2005).
N. S. Bakhvalov, N. P. Zhidkov, and G. M. Kobel’kov, Numerical Methods [in Russian], BINOM: Laboratoriya Znanii, Moscow (2011).
T. M. Solov’eva and E. P. Zhidkov, Comp. Phys. Comm., 126, 168–177 (2000).
P. J. Mohr, B. N. Taylor, and D. B. Newell, CODATA Recommended Values of the Fundamental Physical Constants, National Institute of Standards and Technology, Gaithersburg (2012).
Yu. A. Grishechkin and V. N. Kapshai, Russ. Phys. J., 56, No. 4, 435–443 (2013).
M. S. Fee, A. P. Mills, S. Chu, et al., Phys. Rev. Lett., 70, No. 10, 1397−1400 (1993).
G. A. Kozlov, S. P. Kuleshov, V. I. Savrin, et al., Teor. Mat. Fiz., 60, No. 1, 24–36 (1984).
A. H. Al-Ramadhan and D. W. Gidley, Phys. Rev. Lett., 72, No. 11, 1632–1635 (1994).
V. N. Kapshai and T. A. Alferova, Russ. Phys. J., 40, No. 7, 641–648 (1997).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 79–85, December, 2013.
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Grishechkin, Y.A., Kapshai, V.N. Coupled S-States OF Relativistic Two-Particle Systems WITH Energy-Dependent Single Boson Exchange Potentials. Russ Phys J 56, 1407–1414 (2014). https://doi.org/10.1007/s11182-014-0193-y
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DOI: https://doi.org/10.1007/s11182-014-0193-y