[en] Differential cross sections for neutrons elastically scattered from an isotopically enriched sample of ¹¹B were measured for nine laboratory angles from 20 to 160⁰ at 17.5⁰ increments for sixty incident neutron energies from 4.0 to 8.0 MeV. The data were corrected for incident neutron beam attenuation in the sample, air scattering of neutrons, and finite geometry and multiple scattering effects using a Monte Carlo code which included the energy-dependence of differential cross sections of multiple events necessary for light nuclei. Comparison of the present data is made with data previously measured in this energy region and all known differential neutron data on ¹¹B were integrated and compared with recent high resolution total cross section measurements to gain information on the neutron inelastic scattering cross section. All the neutron elastic differential cross section measurements on ¹¹B have been analyzed with a new R-matrix analysis program utilizing j-j coupling with most previous assignments of J/sup π/ in the compound nucleus ¹²B confirmed, and new J/sup π/ assignments made in the region of the present measurements. Finally, based on the results of the present measurements and analysis, recommendations for further neutron cross section measurements on ¹¹B are made