Abstract

Based on the Chiral Effective Field Theory (ChEFT) dynamical picture of the two-pion exchange (TPE) contributions to the nuclear current operator which appear at higher order chiral expansions were considered. Their role in the electron-deuteron scattering reactions was studied and chiral predictions were compared with those obtained in the conventional framework. Results for cross section and various polarization observables are presented. The bound and scattering states were calculated with five different chiral nucleon-nucleon (NN) potentials which leads to the so-called theoretical uncertainty bands for the predicted results.

Highlights

  • Chiral effective field theory (ChEFT) is a modern framework to analyze properties of few-nucleon systems, especially at low energies

  • Based on the Chiral Effective Field Theory (ChEFT) dynamical picture of the two-pion exchange (TPE) contributions to the nuclear current operator which appear at higher order chiral expansions were considered

  • This is very important because the consistence between two-nucleon forces, many-nucleon forces and corresponding current operators has been not yet achieved, despite a lot of experience gained in the past

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Summary

Introduction

Chiral effective field theory (ChEFT) is a modern framework to analyze properties of few-nucleon systems, especially at low energies This approach is a powerful tool for the derivation of the nuclear forces. For energies below the pion-production threshold it is possible to eliminate the pionic degrees of freedom and derive nuclear potentials and nuclear current operators solely in terms of nucleonic degrees of freedom [1, 2] This is very important because the consistence between two-nucleon forces, many-nucleon forces and corresponding current operators has been not yet achieved, despite a lot of experience gained in the past. At present electron scattering is studied with the aim to probe the nuclear wave functions and obtain information about the nuclear current operator In this context, the few-body systems (A ≤ 3) are important since the two- and three-nucleon bound and scattering states, at least nonrelativistically, can be calculated accurately for any given two- and three-body interactions. The important outcome of the presented work is that various observables in the deuteron electrodisintegration appear to be highly sensitive to the two-pion exchange current

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