Covariant separable interaction for the neutron-proton system in ${}^3{S}_1$-${}^3{D}_1$ partial-wave state

Abstract

Within a covariant Bethe-Salpeter approach a rank-six separable neutron-proton interaction kernel for the triplet coupled ${}^3{S}_1$-${}^3{D}_1$ partial-wave state is constructed. Two different methods of a relativistic generalization of initially nonrelativistic form factors parametrizing the kernel are considered. The model parameters are determined by fitting the elastic ${}^3{S}_1$ and ${}^3{D}_1$ phase shifts and the triplet scattering length as well as the asymptotic $D/S$ ratio of the deuteron wave functions and the deuteron binding energy. The $D$-state probability constraints 4-7\% are taken into account. The deuteron magnetic moment is calculated. The half-off-shell properties are further demonstrated by the Noyes-Kowalski functions. The first test of the constructed kernel is performed by calculating the deuteron electrodisintegration at three different kinematic conditions.

17 pages, 12 figures

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Cited by in corpus (6)

• Solving Bethe-Salpeter equation for two fermions in Minkowski space
• Covariant relativistic separable kernel approach for electrodisintegration of the deuteron at high momentum transfer
• Final state interaction effects in electrodisintegration of the deuteron within the Bethe-Salpeter approach
• Relativistic complex separable potential for describing the neutron-proton system in ${}^3{S}_1$-${}^3{D}_1$ partial-wave state
• Solution of the Bethe-Salpeter equation in Minkowski space for a two fermion system
• On the Relativistic Separable Functions for the Breakup Reactions