Magnetic form factor of the deuteron in chiral effective field theory

Abstract

We calculate the magnetic form factor of the deuteron up to O(eP 4 ) in the chiral EFT expansion of the electromagnetic current operator. The two LECs which enter the two-body part of the isoscalar NN three-current operator are fit to experimental data, and the resulting values are of natural size. The O(eP 4 ) description of GM agrees with data for momentum transfers Q 2 < 0. Introduction: In the past two decades chiral effective field theory (χEFT) was fruitfully applied to few-nucleon dynamics (see Refs. [1, 2] for recent reviews). Twonucleon potentials at next-to-next-to-next-to-leading order (N 3 LO) in the chiral expansion were developed [3, 4] which accurately describe low-energy scattering data and the static properties of the deuteron. Higher-order corrections to the three-nucleon force are presently under investigation, see e.g. [10], although discussions regarding non-perturbative renormalization of the Schrödinger equation and implications for the χEFT power counting continue, see [5][6][7][8][9] for samples of different views. In parallel to these developments in the strong sector, much effort has been devoted to pionic and electroweak reactions in few-nucleon systems, see [11][12][13] for recent examples.

Chiral electroweak currents in nuclei

“…6 contains a comparison of the results of Ref. [80] with those of a calculation based on a lower order potential and in which a different strategy was adopted for constraining the LEC's d S and c S in the N3LO EM current [100]. This figure and the following Fig.…”

Electromagnetic structure of A=2 and 3 nuclei in chiral effective field theory

“…5. Recently, a calculation of the deuteron magnetic structure, based on the same χEFT utilized here, has appeared in the literature [9]. It uses chiral potentials at order Q 2 derived in Ref.…”

“…[6][7][8] and, most recently, in Ref. [9]-this latter work has focused on the B(q) structure function. To the best of our knowledge, however, the one-loop χEFT predictions reported here for the 3 He and 3 H elastic form factors are new.…”

Deuteron transverse densities in holographic QCD

“…There are many theoretical approaches such as chiral effective and phenomenological approaches, perturbative QCD, potential and quark models, holographic QCD models etc. which have been extensively used to investigate the deuteron form factors [1,2,3,4,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50] whereas the generalized parton distributions (GPDs) for deuteron has been introduced in [51]. GPDs for the deuteron have been studied based on a phenomenological effective Lagrangian approach in [52].…”