In my opinion there are basiclly two or three reasons because of the results you are having can occur and I would check them in order to find the real reason to explain what is happening.
1.-Material being compacted in field is different to that tested to determine the Maximum dry density in lab, the material in field could contain oversize particles that not were included within the lab test for instance, proctor maximum density and moisture content should be corrected by oversize fraction according to ASTM D-4718 in order that readings provided by the nuke are right, or lab material could contain a higher fraction passinf No. 200 sieve.
2.-Compaction equipment used in field compaction is heavier than requiered, heavier equipments will provide higher compaction energies, it means that effective efort used is grater than requiered, consequently, for the sime soil as compaction energy increases you need less moisture to reach certain density, this not mean that nuke or lab test are wrong, simply means that you have to improve field quality control program, If material is the same tested in lab, mositure content in field should be within an adequate range, lets say as BIG H plus or minus 2 for sandy soils, in order that your soil is being compacted as requiered, remember that as far as you appart your moisture content from theorical saturation curves as grater is the mechanical behavior drop in case of a suddenly moisture increase, that's the main reason to established and control a moisture content range
3.- Nuclear gauges has two radiological sources, the one located in the tip of the rod is used to measure density by the radiological attenuation principle and the mositure is measured by thermalization of hydrogen electrones, is like you bomb the H2O molecules using electrons the impáct termalized the electrons of hydrogen and produce an energiy emmision taht is measured by the gauge sensor, nevertheless this bombing not reach China, it is limited and the moisture content reading given by the nuke just reach a couple of inches as much as three, if you ar in a hot wheather location and the loss of moiture due to wind and solar radiation is high this can be affecting the reading, this thermalization also has a problem wich id that some kind of materials may produce false readings in moisture content and consequently dry density, for instance soils trated with hydrated lime (see the excess of hydrogen) will induce an error in the test, nevertheless there are correction that can be done to make the reading reliable, moisture, density, trench etc.. and usually correlate the nuke to sand cone and mositure content detrmined oven or direct heat dried samples are quite recommended
using the nuke requieres certain expertise degree by technician, because most of them use the value provided by lab and the reading provided by the machine and forgot the basics