Letter THE EUROPEAN PHYSICAL JOURNAL A Empirical transverse charge densities in the deuteron

Abstract

Abstract. Using the recent empirical information on the deuteron electromagnetic form factors we map out the transverse charge density in the deuteron as viewed from a light front moving towards the deuteron. The charge densities for a transversely polarized deuteron are characterized by monopole, dipole and quadrupole patterns. PACS. 13.40.Gp Electromagnetic form factors – 21.10.Ft Charge distribution – 21.45.Bc Two-nucleon system Electromagnetic form factors (FFs) of the deuteron have received a lot of attention in recent years; for recent reviews see, e.g., refs. [1,2]. Based on the large amount of precise deuteron form factor data, it is therefore of interest to exhibit the spatial information on the quark charge distributions in the deuteron. In this letter, we develop the general formalism to extract charge densities for a spin-1 particle and apply it to the case of the deuteron. In the following we will consider the electromagnetic deuteron elastic FFs when viewed from a light front moving towards the deuteron. Equivalently, this corresponds with a frame where the deuterons have a large momentum component along the z-axis chosen along the direction of P =(p + p ′)/2, where p (p ′ ) are the initial (final) deuteron four-momenta. We indicate the deuteron light front + component by P + (defining a ± ≡ a 0 ± a 3). We furthermore choose a light front frame where the virtual photon four-momentum q has q + = 0, and has a transverse component (lying in the xy-plane) indicated by the transverse vector q ⊥, satisfying q 2 = −q

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