Relativistic rank-one separable kernel for helium-3 charge form factor

TL;DR

This paper develops a relativistic model using a rank-one separable kernel to analyze helium-3's charge form factor in electron scattering, incorporating relativistic corrections and partial-wave contributions up to high momentum transfer.

Contribution

It introduces a relativistic generalization of Faddeev equations with a rank-one separable kernel for the three-nucleon system, including partial-wave effects and relativistic corrections.

Findings

Relativistic corrections significantly affect the charge form factor at high energies.

The 3D1 partial-wave state contribution is substantial at large momentum transfer.

The model accurately describes electron-helium-3 scattering up to 100 fm^-2.

Abstract

Elastic electron-helium-3 scattering is studied in the relativistic impulse approximation. The amplitudes for the three-nucleon system are obtained by solving the relativistic generalization of the Faddeev equations with a separable rank-one kernel of the nucleon-nucleon interaction. The contribution of partial-wave states with nonzero orbital moment of a nucleon pair is investigated. The static approximation and additional relativistic corrections for the 3He charge form factor are calculated for the momentum transfer squared up to 100 fm^-2. The contribution of the 3D1 partial-wave state and relativistic corrections are found to be sizable at high energies.