Magnetic form factors for a trinucleon system using different meson exchange nucleon–nucleon interactions

Abstract

The magnetic form factors for the 3He and 3H nuclei have been calculated for different values of momentum transfer. The three-nucleon ground-state wave function is expressed in momentum space and is obtained from the solution of the Faddeev equations with realistic two-body potentials. The potential used is taken from the meson theory to include different meson-exchange contributions satisfying the requirements of current conservation. The different meson-exchange currents and their contributions to the trinucleon magnetic form factors are calculated. The virtual Δ-excitation and the meson–nucleon vertices form factors are included in the 3He and 3H magnetic-form-factors calculations. The present results show the importance of the higher momentum transfer region as being a good source of information to the short-range processes in the nuclear medium. Our results for the 3He and 3H magnetic form factors are in good agreements with the experimental data. The inclusion of the ρ and ω meson exchanges improves the agreement between positions of the minima of the magnetic form factors predicted and the experimental data.

Quark Model Three Body Calculations for the Hypertriton Bound State

“…We have calculated the  3 H binding energy E and the separation energy of the  particle B Λ using different combinations of realistic N-N and quark model -N interactions. In order to get a good and fast convergence for the  3 H binding energy ,Fabre optimal subset [27], [28] was considered in solving the finite set of coupled differential equations, where up to up to K max = 20 coupled equations have been solved. The calculated binding energy E and separation energy B Λ for the  3 H hypernucleus using different combinations of realistic N-N and quark model -N interactions are presented in table (2).…”