Two-nucleon electromagnetic current in chiral effective field theory: one-pion exchange and short-range contributions

TL;DR

This paper derives the leading one-loop two-nucleon electromagnetic current operator in chiral effective field theory, including one-pion exchange and short-range contributions, providing explicit momentum and coordinate space results.

Contribution

It introduces a systematic derivation of the two-nucleon electromagnetic current operator at one-loop level within chiral EFT using the unitary transformation method.

Findings

Explicit expressions for current and charge densities in momentum space.

Inclusion of one-pion exchange and short-range contributions at leading one-loop order.

Provides a foundation for improved nuclear electromagnetic calculations.

Abstract

We derive the leading one-loop contribution to the one-pion exchange and short-range two-nucleon electromagnetic current operator in the framework of chiral effective field theory. The derivation is carried out using the method of unitary transformation. Explicit results for the current and charge densities are given in momentum and coordinate space.