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arXiv · 1002.0487

Covariant separable interaction for the neutron-proton system in $^3S_1$-$^3D_1$ partial-wave state

S. G. Bondarenko·V. V. Burov·W. -Y. Pauchy Hwang·E. P. Rogochaya
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Abstract

Within a covariant Bethe-Salpeter approach a rank-six separable neutron-proton interaction kernel for the triplet coupled $^3S_1$-$^3D_1$ 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 $^3S_1$ and $^3D_1$ 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.

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S. G. Bondarenko, V. V. Burov, W. -Y. Pauchy Hwang, E. P. Rogochaya. 2010-08-16. Covariant separable interaction for the neutron-proton system in $^3S_1$-$^3D_1$ partial-wave state. https://doi.org/10.1016/j.nuclphysa.2010.08.007

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