Relativistic three-nucleon calculations within the Bethe-Salpeter approach
S.G. Bondarenko, V.V. Burov, S.A. Yurev
TL;DR
This paper investigates the relativistic three-nucleon system using the Bethe-Salpeter approach with separable interactions, calculating binding energies and partial-wave amplitudes of the triton.
Contribution
It introduces a relativistic three-nucleon calculation framework within the Bethe-Salpeter formalism, applying numerical methods to solve integral equations.
Findings
Calculated the binding energy of the triton.
Determined partial-wave amplitudes for 1S0 and 3S1 states.
Demonstrated the applicability of the Bethe-Salpeter approach to three-nucleon systems.
Abstract
The relativistic properties of the three-nucleon system are investigated using the Faddeev equations within the Bethe-Salpeter approach. The nucleon-nucleon interaction is chosen in a separable form. The Gauss quadrature method is used to calculate the integrals. The system of the integral equations are solving by iterations method. The binding energy and the partial-wave amplitudes (1S 0 and 3S 1) of the triton are found.
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