Deuteron form factors in a phenomenological approach

Abstract

The electromagnetic form factors of the deuteron, particularly the quadrupole form factor, are studied with a help of a phenomenological Lagrangian approach where the vertex of the deuteronproton-neutron with D-state contribution is explicitly taken into account. The result shows the importance of this contribution to the quadrupole form factor in the approach.

Deuteron electromagnetic form factors with the light-front approach

“…In this work, ρ 2 plays a similar but not identical role. The meaning of ρ, here, is not exactly the same as in the threedimensional potential models, and it may also be different from our previous calculation which was done in Euclidean space with a Gauss-type regularization [21,34]. It is the value of ρ 2 that actually connects to the D wave admixture.…”

“…Detailed discussion of the poles and residues of the integral is referred to Refs. [30,34,42]. Similar to Refs.…”

“…and the D wave vertex has been explicitly studied by Blankenbecler, Goldberger, Halpern [34,36], and can be expressed as…”

“…In our calculation, we regard the deuteron as a weakly bound state of a proton and a neutron, and we do the numerical calculation in Minkowski space for the loop integral with the help of the light-front approach. Therefore, the present work is different from our previous calculations which were done in Euclidean space with a Gauss-type regularization [21,34]. In our calculation, the model-dependent parameters will be determined by fitting the form factors to the experimental data.…”

Form factors of the d*(2380) resonance

“…Furthermore, in a spin-1 system, for instance a deuteron or a vector ρ-meson, the charge, magnetic and quadrupole form factors can also reveal its intrinsic structures, such as its charge and magnetic distributions and the quadrupole deformation (see, for example, Refs. [25][26][27][28][29][30][31] for the deuteron and Refs. [32][33][34][35][36][37][38] for the ρ meson, respectively).…”