Yu. A. Grishechkin, V. N. Kapshai, “Relativistic scattering problem for two-particle systems with one-boson exchange potentials”, PFMT, 2014, no. 2(19), 13

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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2014, Issue 2(19), Pages 13–18 (Mi pfmt298)

PHYSICS

Relativistic scattering problem for two-particle systems with one-boson exchange potentials

Yu. A. Grishechkin, V. N. Kapshai

F. Scorina Gomel State University, Gomel

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Abstract: Numerical solutions of quantum field theory equations describing scattering $s$-states of two scalar particles are found in cases of a one-boson exchange potential and the Yukawa potential. Scattering amplitudes, scattering lengths and phase shifts are calculated on the basis of the solutions obtained. It is shown that the scattering amplitudes found satisfy a unitarity condition. The comparison of the results obtained in this simple model with experimental data for neutron-proton systems is carried out.

Keywords: two-particle equations, relativistic configurational representation, one-boson exchange potential, scattering amplitude, scattering length, phase shift, composite Gaussian quadrature, deuteron.

Received: 02.04.2014

Document Type: Article

UDC: 539.12.01

Language: Russian

Citation: Yu. A. Grishechkin, V. N. Kapshai, “Relativistic scattering problem for two-particle systems with one-boson exchange potentials”, PFMT, 2014, no. 2(19), 13–18

Citation in format AMSBIB

\Bibitem{GriKap14}

\by Yu.~A.~Grishechkin, V.~N.~Kapshai

\paper Relativistic scattering problem for two-particle systems with one-boson exchange potentials

\jour PFMT

\yr 2014

\issue 2(19)

\pages 13--18

\mathnet{http://mi.mathnet.ru/pfmt298}

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