Pion-less Effective Field Theory on Low-Energy Deuteron Electro-Disintegration

Abstract

In view of its relation to Big-Bang Nucleo-Synthesis and a reported discrepancy between nuclear models and data taken at S-DALINAC, electro-induced deuteron break-up 2H(e,e' p)n is studied at momentum transfer q<100MeV and close to threshold in the low-energy nuclear Effective Field Theory without dynamical pions. The result at N2LO for electric dipole currents and at NLO for magnetic ones converges order-by-order better than quantitatively predicted and contains no free parameter. It is at this order determined by simple, well-known observables. Decomposing the doubly differential cross-section into the longitudinal-plus-transverse (L+T), transverse-transverse (TT) and longitudinal-transverse interference (LT) terms, we find excellent agreement with a potential-model calculation by Arenh"ovel et al using the Bonn potential. Theory and data also agree well on σ_{L+T}. There is however no space on the theory-side for the discrepancy of up to 30%, 3-σbetween theory and experiment in σ_{LT}. From universality, we conclude that no theoretical approach with the correct deuteron asymptotic wave-function can explain the data. Un-determined short-distance contributions that could affect σ_{LT} enter only at high orders, i.e. at the few-percent level. We notice some issues with the kinematics and normalisation of the data reported.

30 pages LaTeX2e, including 10 figures as 34 .eps files embedded with includegraphicx. Increased figure sizes; contents identical to version approved for publication in Phys Rev C -- spelling and grammatical differences

References in corpus (33)

• Effective Field Theory for Few-Nucleon Systems
• A New Expansion for Nucleon-Nucleon Interactions
• Two-Nucleon Systems from Effective Field Theory
• Primordial Nucleosynthesis for the New Cosmology: Determining Uncertainties and Examining Concordance
• Effective Field Theory of Nuclear Forces
• NNLO Corrections to Nucleon-Nucleon Scattering and Perturbative Pions
• More Effective Field Theory for Nonrelativistic Scattering
• Electromagnetic structure of the deuteron
• Universal Properties of the Four-Body System with Large Scattering Length
• The Four-Boson System with Short-Range Interactions
• Nucleon-Deuteron Scattering from an Effective Field Theory
• Rearranging Pionless Effective Field Theory
• Precision Calculation of n+p->d+gamma Cross Section for Big-Bang Nucleosynthesis
• On the correlation between the binding energies of the triton and the alpha-particle
• Improving the Convergence of NN Effective Field Theory
• Estimating reaction rates and uncertainties for primordial nucleosynthesis
• Radiative neutron capture on a proton at BBN energies
• No-core shell model in an effective-field-theory framework
• Improved Convergence in the Three-Nucleon System at Very Low Energies
• n+p -> d+gamma for Big-Bang Nucleosynthesis
• Quartet S Wave Neutron Deuteron Scattering in Effective Field Theory
• Higher Partial Waves in an Effective Field Theory Approach to nd Scattering
• Effective field theory of the deuteron with dibaryon field
• Isoscalar M1 and E2 Amplitudes in n+p -> d+gamma
• General Survey of Polarization Observables in Deuteron Electrodisintegration
• Low-Energy Photodisintegration of the Deuteron and Big-Bang Nucleosynthesis
• Quartet S-wave p-d scattering in EFT
• Modern theories of low-energy astrophysical reactions
• Building light nuclei from neutrons, protons, and pions
• Nucleon Polarisabilities from Compton Scattering on the Deuteron
• The Anapole Form Factor of the Deuteron
• Drell-Hearn-Gerasimov Sum-Rule for the Deuteron in Nuclear Effective Field Theory
• Deuteron Compton Scattering in Effective Field Theory And Spin-Independent Nucleon Polarizabilities

Cited by in corpus (10)

• Modern Theory of Nuclear Forces
• Nuclear effective field theory: status and perspectives
• Low-Energy Universality in Atomic and Nuclear Physics
• Universal Correlations in Pion-less EFT with the Resonating Group Model: Three and Four Nucleons
• Deuteron electrodisintegration with unitarily evolved potentials
• Spin Polarization in $\gamma d\to \vec{n}p$ at Low Energies with a Pionless Effective Field Theory
• Spin polarization observables of the deuteron photodisintegration at low energies in pionless effective field theory
• The longitudinal response function of the deuteron in chiral effective field theory
• Electrodisintegration of Deuteron into Dark Matter and Proton Close to Threshold
• Optimized binning for response function reconstruction via Chebyshev expansions