# Transverse densities of octet baryons from chiral effective field theory

## TL;DR

This paper calculates the transverse charge and current densities of octet baryons at large distances using a combined approach of chiral effective field theory and dispersion analysis, providing insights into their peripheral structure.

## Contribution

It introduces a novel method combining chiral EFT and dispersion analysis to compute baryon densities at large distances with controlled uncertainties.

## Key findings

- Densities are computed at distances > 1 fm.
- Results align with empirical data and lattice QCD.
- Method extends to include rho-meson mass region.

## Abstract

Transverse densities describe the distribution of charge and current at fixed light-front time and provide a frame-independent spatial representation of hadrons as relativistic systems. We calculate the transverse densities of the octet baryons at peripheral distances b = O(M_pi^{-1}) in an approach combining chiral effective field theory (ChEFT) and dispersion analysis. The densities are represented as dispersive integrals of the imaginary parts of the baryon electromagnetic form factors in the timelike region (spectral functions). The spectral functions on the two-pion cut at t > 4 M_pi^2 are computed using relativistic ChEFT with octet and decuplet baryons in the EOMS renormalization scheme. The calculations are extended into the rho-meson mass region, using a dispersive method that incorporates the timelike pion form-factor data. The approach allows us to construct densities at distances b > 1 fm with controlled uncertainties. Our results provide insight into the peripheral structure of nucleons and hyperons and can be compared with empirical densities and lattice-QCD calculations.