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Within a covariant Bethe-Salpeter approach the relativistic complex separablekernel of the neutron-proton interaction for the coupled $^3S_1^+$-$^3D_1^+$partial-wave state is constructed. The rank-six separable potential elaboratedearlier is real-valued, and therefore makes it possible to describe only theelastic part (phase shifts, low-energy parameters, deuteron properties, etc.)of the elastic neutron-proton scattering. The description of the inelasticityparameter comes out of the imaginary part introduced intthe potential. Thecomplex potential parameters are obtained using the available elasticneutron-proton scattering experimental data up to 1.1 GeV.

Relativistic complex separable potential for describing the neutron-proton system in $^3S_1$-$^3D_1$ partial-wave state