Momentum distributions for ${}^2$H$(e,e^{\prime }p)$

Abstract

Background: A primary goal of deuteron electrodisintegration is the possibility of extracting the deuteron momentum distribution. This extraction is inherently fraught with difficulty, as the momentum distribution is not an observable and the extraction relies on theoretical models dependent on other models as input. Purpose: We present a new method for extracting the momentum distribution which takes into account a wide variety of model inputs thus providing a theoretical uncertainty due to the various model constituents. Method: The calculations presented here are using a Bethe-Salpeter like formalism with a wide variety of bound state wave functions, form factors, and final state interactions. We present a method to extract the momentum distributions from experimental cross sections, which takes into account the theoretical uncertainty from the various model constituents entering the calculation. Results: In order to test the extraction pseudo-data was generated, and the extracted "experimental" distribution, which has theoretical uncertainty from the various model inputs, was compared with the theoretical distribution used to generate the pseudo-data. Conclusions: In the examples we compared, the original distribution was typically within the error band of the extracted distribution. The input wave functions do contain some outliers which are discussed in the text, but at least this procedure can provide an upper bound on the deuteron momentum distribution. Due to the reliance on the theoretical calculation to obtain this quantity any extraction method should account for the theoretical error inherent in these calculations due to model inputs.

References in corpus (20)

• An accurate nucleon-nucleon potential with charge-independence breaking
• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Construction of high-quality Nucleon-Nucleon potential models
• Dispersion-Theoretical Analysis of the Nucleon Electromagnetic Formfactors
• Global analysis of proton elastic form factor data with two-photon exchange corrections
• Updated analysis of NN elastic scattering to 3 GeV
• Nucleon-nucleon elastic scattering to 3 GeV
• Effect of recent R_p and R_n measurements on extended Gari-Krumpelmann model fits to nucleon electromagnetic form factors
• The electro-disintegration of few body systems revisited
• Probing the high momentum component of the deuteron at high Q^2
• Calculations of the Exclusive Processes 2H(e,e'p)n, 3He(e,e'p)2H and 3He(e,e'p)(pn) within a Generalized Glauber Approach
• Large Q2 Electrodisintegration of the Deuteron in Virtual Nucleon Approximation
• A new calculation for D(e,e'p)n at GeV energies
• How should one formulate, extract, and interpret `non-observables' for nuclei?
• Target Polarization for ${}^2\vec{H}(e,e^{\prime }p)n$ at GeV energies
• A Regge Model for Nucleon-Nucleon Spin Dependent Amplitudes
• Electromagnetic interactions for the two-body spectator equations
• Ejectile Polarization for ${}^{2}H(e,e^{\prime }\vec{p})n$ at GeV energies
• High-precision covariant one-boson-exchange potentials for np scattering below 350 MeV
• ${}^2$H$(e,e^{\prime }p)$ observables using a Regge model parameterization of final state interactions

Cited by in corpus (12)

• Direct Observation of Proton-Neutron Short-Range Correlation Dominance in Heavy Nuclei
• Partial-Wave Analysis of Nucleon-Nucleon Elastic Scattering Data
• Probing few-body nuclear dynamics via 3H and 3He (e,e'p)pn cross-section measurements
• Strong Interaction Physics at the Luminosity Frontier with 22 GeV Electrons at Jefferson Lab
• Probing the Deuteron at Very Large Internal Momenta
• Deuteron electrodisintegration with unitarily evolved potentials
• Coincidence charged-current neutrino-induced deuteron disintegration
• Covariant Spectator Theory of np scattering: Deuteron Quadrupole Moment
• Beam-target double spin asymmetry in quasi-elastic electron scattering off the deuteron with CLAS
• Factorization Breaking of $A_d^T$ for polarized deuteron targets in a relativistic framework
• Reduced nuclear helicity amplitudes for deuteron electrodisintegration and other processes
• Neutral-Current Neutrino Scattering from the Deuteron