Abstract
It is shown that the integral quasipotential Logunov-Tavkhelidze and Kadyshevskii equations with local —in Lobachevskii momentum space — quasipotentials, the transforms of which are even rational functions of r in relativistic configurational space, may be reduced to a Sturm-Liouville problem in the case of unit orbital momentum. In the critical limit, when the bound-state mass is zero, accurate wave functions are obtained.
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A. A. Logunov and A. N. Tavkhelidze, Nuovo Cimento,29, No. 2, 380 (1963).
V. G. Kadyshevskii and A. N. Tavkhelidze, in: Problems of Theoretical Physics [in Russian], Nauka, Moscow (1969), p. 261.
V. G. Kadyshevskii (Kadyshevsky), Nucl. Phys.,86, No. 1, 125 (1968).
A. T. Filippov, Nuovo Cimento,38, No. 5, 596 (1968).
V. Sh. Gogokhiya and A. T. Filippov, Teor. Mat. Fiz.,21, No. 1, 37 (1974).
V. N. Kapshai, S. P. Kuleshov, and N. B. Skachkov, Teor. Mat. Fiz., 55, No. 3, 348 (1983).
V. N. Kapshai, V. F. Konoplyanikov, N. B. Skachkov, and V. N. Starikov, JINR Preprint R2-87-301 [in Russian], Dubna (1987).
I. S. Shapiro, Dokl. Akad. Nauk SSSR,106, No. 4, 647 (1956).
V. G. Kadyshevsky, R. M. Mir-Kasimov, and N. B. Skachkov, Nuovo Cimento,55A, No. 2, 233 (1968).
V. G. Kadyshevskii, R. M. Mir-Kasimov, and N. B. Skachkov, ÉChAYa,2, No. 3, 635 (1972).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 56–60, May, 1990.
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Bochkarev-Komin, D.A., Kapshai, V.N. Accurate solutions of quasipotential equations with orbital momentum ℓ=1. Soviet Physics Journal 33, 427–431 (1990). https://doi.org/10.1007/BF00896083
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DOI: https://doi.org/10.1007/BF00896083