# Theoretical Study on Gaussian Polymer Chains for Spin–Echo Small-Angle Neutron Scattering

## TL;DR

This paper introduces a new theoretical method to analyze polymer structures using neutron scattering, which can improve understanding of soft matter.

## Contribution

A novel theoretical framework and real space correlation functions for Gaussian polymer chains in SESANS analysis are proposed.

## Key findings

- The developed correlation functions accurately predict polymer chain radii of gyration.
- Molecular dynamics simulations validate the theoretical predictions for SESANS measurements.

## Abstract

This study develops a generalized method for applying
spin–echo
small-angle neutron scattering (SESANS) to the structural analysis
of polymers. Starting from the theoretical framework of SESANS, we
developed real space correlation functions for the Gaussian chain
model systems consisting of chains with many beads. Further molecular
dynamics (MD) simulations affirm that the functions derived by our
proposed theoretical work can accurately predict the radii of gyration
of polymer chains, which bring straightforward insight of SESANS measurements.
This work will enable a broader application of SESANS in soft matter
analysis.