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

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 a...

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Published in:arXiv.org 2010-08
Main Authors: Bondarenko, S G, Burov, V V, W -Y Pauchy Hwang, Rogochaya, E P
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Language:English
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Elastic scattering
Form factors
Kernels
Magnetic moments
Magnetic properties
Wave functions
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Rogochaya, E P
description 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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subjects Elastic scattering
Form factors
Kernels
Magnetic moments
Magnetic properties
Wave functions
title Covariant separable interaction for the neutron-proton system in \(^3S_1\)-\(^3D_1\) partial-wave state
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