Electron scattering on two-neutron halo nuclei: The case of 6He

Abstract

The formalism to describe electron scattering reactions on two-neutron halo nuclei is developed. The halo nucleus is described as a three-body system (core+n+n), and the wave function is obtained by solving the Faddeev equations in coordinate space. We discuss elastic and quasielastic scattering using the impulse approximation to describe the reaction mechanism. We apply the method to investigate the case of electron scattering on 6 He. Spectral functions, response functions, and differential cross sections are calculated for both neutron knockout and α knockout by the electron.PACS numbers: 25.30. Fj, 25.70.Bc, 21.45.+v

Elastic and quasi-elastic electron scattering on theN=14, 20, and 28 isotonic chains

“…The neutron densities of 28 O and 30 Ne are very similar and their corresponding A pv are almost coincident up to the first minimum. Starting from 32 Mg the minimum of A pv shifts toward smaller angles.…”

Inclusive quasielastic electron scattering on 6He: a probe of the halo structure

“…[23] and references therein). Not included in these figures is the contribution from elastic electron- 6 He scattering, that was considered in [15] and contributes only at forward angles and ω → 0. We can see in fig.3 that, in each plot, the peak of the differential cross section falls in an (ω,q) range that is expected to be free from core breakup: q < ∼ 200 MeV/c and ω < q 2 /2M N +S N , where M N is the nucleon mass and S N ≈20 MeV is the nucleon separation energy in the α-particle.…”

“…When this constituent has spin 0 (as the α particle in 6 He) only the longitudinal structure function appears (see [15] for details).…”

“…T are computed using the CC1 prescription for the nucleon current [17], and their analytic expressions are given in [15]. The structure function R (α) L is the square of the Fourier transform of the α-particle charge density.…”

“…[15]. In this reference we developed the formalism focusing on elastic scattering and on exclusive (e, e ′ α) and (e, e ′ n) coincidence experiments.…”