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Lu,
The natural units, c=h=k=1, does not eliminate the units from
the units just the calculations. In high energy physics, the time unit
is fm/c or just fm in natural units. Why? Because a most particles
produced (99.999999...% of them do) travel at c, so the distance gives
us a better understanding of the development of the collision region.
One can easily recover the proper units by inserting a factor of hc.
Any really good high energy or rel. kinematics book will discuss this.
Most text do not and take it for granted, so the instructor should cover
this. Ask your teacher why he didn't explain this.
Sam Held
Actually, I use units where pi=c=h-bar = 1.
Jack