Iron shields best, whatever this means if you need half a meter...
According that paper cosmic ray muons ~42cm Fe cuts 90%. Maybe adding B-field in Fe shield can bend slower muons slightly so they travel little longer in Fe, atleast when they are low energy B helps.
Water dosn't brake them well, but adding borated water 10-20cm after Fe shield can take generated neutrons quite well? (and dosn't do harm either)
And if 40mm Pb drops counts then if muons energy spectrum dosn't have big spikes it means they energy are not 10Gev, but less than 1Gev.(?)
So crude calculation ~60mm Fe 100, +40mm Pb 75, miinus BG say 20 do 80 and 55 so real drop ~1/3.
40mm Pb slow ~90Mev, ~60mm Fe slow ~120Mev, so grude quess is that 90% are lower energy than 300Mev. (am I right?)
So if I add ~20-25cm Fe and put some B-field circulating it plus 15cm borated H2O outside it is maybe 98% more safe?
Duh lot of work and 20cm Fe if have ~25cm cavity inside length ~40cm weight near 2t plus H2O. Lab floor dosn't hold it + 100 more problems..
Anyway <1hrs work near give swet night again and difficulties to think clear. Without shielding can't continue or it can be last thing here..
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Conclusion there is no concrete shield for muons with high kinetic energy.
May be we should calculate their energy first and use a high voltage plate condenser to deviate them!
Crude calculation/quess above. My meters are crappy chinese <40$ to do anything more accurate. And only anomalies are that wrapping GM tube with Cu tube give more counts outside shields as inside GM tube and working near reactor do ill. Not much / posible errors may be.
HV plates are easy to do and if muons and have strigth fly from reactors can maybe do easilly. Broblem is that I can't work near.