V. N. Kapshai, V. I. Savrin, N. B. Skachkov, “Dependence of the quasipotential on the total energy of a two-particle system”, TMF, 69:3 (1986), 400–410; Theoret. and Math. Phys., 69:3 (1986), 1226

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Teoreticheskaya i Matematicheskaya Fizika, 1986, Volume 69, Number 3, Pages 400–410 (Mi tmf5239)

This article is cited in 15 scientific papers (total in 15 papers)

Dependence of the quasipotential on the total energy of a two-particle system

V. N. Kapshai, V. I. Savrin, N. B. Skachkov

Full-text PDF (1031 kB) Citations (15)

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Abstract: For a system of two relativistic particles described in the Logunov–Tavkhelidze one-time approach the dependence of the quasipotential of one-boson exchange on the total energy of the system is calculated. It is shown that despite the nonlocal form of the obtained quasipotential the three-dimensional equations for the wave function can be reduced by a partial expansion to one-dimensional equations. The influence of the energy dependence of the quasipotential on its behavior in the coordinate representation is discussed.

Received: 23.07.1985

English version:
Theoretical and Mathematical Physics, 1986, Volume 69, Issue 3, Pages 1226–1233
DOI: https://doi.org/10.1007/BF01017621

Bibliographic databases:

Language: Russian

Citation: V. N. Kapshai, V. I. Savrin, N. B. Skachkov, “Dependence of the quasipotential on the total energy of a two-particle system”, TMF, 69:3 (1986), 400–410; Theoret. and Math. Phys., 69:3 (1986), 1226–1233

Citation in format AMSBIB

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\by V.~N.~Kapshai, V.~I.~Savrin, N.~B.~Skachkov

\paper Dependence of the quasipotential on the total energy of a~two-particle system

\jour TMF

\yr 1986

\vol 69

\issue 3

\pages 400--410

\mathnet{http://mi.mathnet.ru/tmf5239}

\transl

\jour Theoret. and Math. Phys.

\yr 1986

\vol 69

\issue 3

\pages 1226--1233

\crossref{https://doi.org/10.1007/BF01017621}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986J423400007}

Linking options:

https://www.mathnet.ru/eng/tmf5239

https://www.mathnet.ru/eng/tmf/v69/i3/p400

This publication is cited in the following 15 articles:

Yu. A. Grishechkin, V. N. Kapshai, “Coupled S-States OF Relativistic Two-Particle Systems WITH Energy-Dependent Single Boson Exchange Potentials”, Russ Phys J, 56:12 (2014), 1407
Yu. A. Grishechkin, V. N. Kapshai, “Relativistic bound state problem for two-particle systems with energy dependent one boson exchange potential”, PFMT, 2013, no. 1(14), 24–26
O. P. Solovtsova, Yu. D. Chernichenko, “The resummation $L$-factor in the relativistic quasipotential approach”, Theoret. and Math. Phys., 166:2 (2011), 194–209
V. A. Matveev, V. I. Savrin, A. N. Sisakyan, A. N. Tavkhelidze, “Relativistic Quark Models in the Quasipotential Approach”, Theoret. and Math. Phys., 132:2 (2002), 1119–1136
E. A. Dei, V. N. Kapshai, “Covariant interaction operators for a composite system ofN scalar particles”, Russ Phys J, 40:8 (1997), 721
V. N. Kapshai, E. A. Dey, G. Yu. Tyumenkov, T. A. Alferova, “Single-photon exchange quasi-potentials ofN-particle systems”, Russ Phys J, 40:9 (1997), 832
E. A. Dei, V. N. Kapshai, N. B. Skachkov, “Three-dimensional covariant one-time equations for a system of $n$ spinor particles”, Theoret. and Math. Phys., 101:1 (1994), 1207–1217
V. N. Kapshai, G. Yu. Tyumenkov, “Asymptotic behavior of the quasipotential wave function of a two-particle system”, Russ Phys J, 36:6 (1993), 595
E. A. Dei, V. N. Kapshai, “A covariant quasipotential operator for a composite system of two scaler particles”, Russ Phys J, 36:6 (1993), 604
V. N. Kapshai, G. Yu. Tyumenkov, “$(Q\bar{q}) \to \ell \widetilde{v} _\ell $ decay constant in the covariant simultaneous approach”, Soviet Physics Journal, 35:2 (1992), 185
N. A. Boikova, V. V. Dvoeglazov, Yu. N. Tyukhtyaev, R. N. Faustov, “Quasipotential in the fourth order of perturbation theory and infrared singularities”, Theoret. and Math. Phys., 89:2 (1991), 1174–1181
V. N. Kapshai, G. Yu. Tyumenkov, “Boson exchange quasipotentials for a pseudoscalar fermion—antifermion bound state”, Soviet Physics Journal, 34:7 (1991), 587
B. A. Arbuzov, E. E. Boos, V. I. Savrin, S. A. Shichanin, “Relativistic Coulomb quasipotential and new narrow resonances in systems of charged particles”, Theoret. and Math. Phys., 83:2 (1990), 457–465
A. A. Arkhipov, “One-gluon exchange approximation for the quasipotential of two-quark interaction in quantum chromodynamics”, Theoret. and Math. Phys., 83:3 (1990), 591–601
E. A. Dei, V. N. Kapshai, N. B. Skachkov, “Exact solutions of a class of quasipotential equations for a superposition of one-boson exchange quasipotentials”, Theoret. and Math. Phys., 82:2 (1990), 130–138

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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