  The utilization of spin-echo small angle neutron scattering (SESANS) for the
analysis of structures in soft matter is becoming increasingly prevalent. In
this context, the Gaussian chain model and the corresponding framework for
calculating the theoretical SESANS correlation function are presented briefly.
This work provides a novel theoretical derivation to analytically obtain the
density-density correlation function and the SESANS spatial correlation
function of Gaussian chains. Furthermore, we discuss the relationship between
these correlation functions and the measured neutron polarizability of SESANS.
These functions possess favorable mathematical properties, rendering them
directly suitable for the analysis and fitting of data obtained from polymer
samples via SESANS.
