English

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

Nuclear Theory 2010-08-17 v2

Abstract

Within a covariant Bethe-Salpeter approach a rank-six separable neutron-proton interaction kernel for the triplet coupled 3S1^3S_1-3D1^3D_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 3S1^3S_1 and 3D1^3D_1 phase shifts and the triplet scattering length as well as the asymptotic D/SD/S ratio of the deuteron wave functions and the deuteron binding energy. The DD-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.

Keywords

Cite

@article{arxiv.1002.0487,
  title  = {Covariant separable interaction for the neutron-proton system in $^3S_1$-$^3D_1$ partial-wave state},
  author = {S. G. Bondarenko and V. V. Burov and W. -Y. Pauchy Hwang and E. P. Rogochaya},
  journal= {arXiv preprint arXiv:1002.0487},
  year   = {2010}
}

Comments

17 pages, 12 figures